GATE 2014 General Instructions during Examination1 Total duration of the GATE examination is 180 minutes2 The clock will be set at the server The countdown timer at the top right corner ofscreen will display the remaining time available for you to complete the examinationWhen the timer reaches zero the examination will end by itself You need notterminate the examination or submit your paper3 Any useful data required for your paper can be viewed by clicking on the UsefulCommon Data button that appears on the screen4 Use the scribble pad provided to you for any rough work Submit the scribble pad atthe end of the examination5 You are allowed to use a non-programmable type calculator however sharing ofcalculators is not allowed6 The Question Palette displayed on the right side of screen will show the status ofeach question using one of the following symbolsThe Marked for Review status for a question simply indicates that you would like to look atthat question again If a question is answered but marked for review then the answer willbe considered for evaluation unless the status is modified by the candidateNavigating to a Question 7 To answer a question do the followinga Click on the question number in the Question Palette to go to that questiondirectlyb Select an answer for a multiple choice type question by clicking on the bubbleplaced before the 4 choices namely A B C and D Use the virtual numerickeypad to enter a number as answer for a numerical type questionc Click on Save amp Next to save your answer for the current question and then goto the next question

d Click on Mark for Review amp Next to save your answer for the current questionand also mark it for review and then go to the next questionCaution Note that your answer for the current question will not be saved if you navigateto another question directly by clicking on a question number without saving the answer tothe previous questionYou can view all the questions by clicking on the Question Paper button This feature isprovided so that if you want you can just see the entire question paper at a glanceAnswering a Question 8 Procedure for answering a multiple choice (MCQ) type questiona Choose one answer from the 4 options (ABCD) given below the questionclick on the bubble placed before the chosen optionb To deselect your chosen answer click on the bubble of the chosen option againor click on the Clear Response buttonc To change your chosen answer click on the bubble of another optiond To save your answer you MUST click on the Save amp Next button9 Procedure for answering a numerical answer type questiona To enter a number as your answer use the virtual numerical keypadb A fraction (eg -03 or -3) can be entered as an answer with or without 0before the decimal point As many as four decimal points eg 125435 or0003 or -9326711 or 1282 can be enteredc To clear your answer click on the Clear Response buttond To save your answer you MUST click on the Save amp Next button10 To mark a question for review click on the Mark for Review amp Next button If ananswer is selected (for MCQ) or entered (for numerical answer type) for a questionthat is Marked for Review that answer will be considered in the evaluation unlessthe status is modified by the candidate11 To change your answer to a question that has already been answered first select

that question for answering and then follow the procedure for answering that type ofquestion12 Note that ONLY Questions for which answers are saved or marked for review afteranswering will be considered for evaluationChoosing a Section 13 Sections in this question paper are displayed on the top bar of the screen Questionsin a Section can be viewed by clicking on the name of that Section The Section youare currently viewing will be highlighted14 A checkbox is displayed for every optional Section if any in the Question Paper Toselect the optional Section for answering click on the checkbox for that Section15 If the checkbox for an optional Section is not selected the Save amp Next button andthe Mark for Review amp Next button will NOT be enabled for that Section You willonly be able to see questions in this Section but you will not be able to answerquestions in the Section16 After clicking the Save amp Next button for the last question in a Section you willautomatically be taken to the first question of the next Section in sequence17 You can move the mouse cursor over the name of a Section to view the answeringstatus for that SectionChanging the Optional Section 18 After answering the chosen optional Section partially or completely you can changethe optional Section by selecting the checkbox for a new Section that you want toattempt A warning message will appear along with a table showing the number ofquestions answered in each of the previously chosen optional Sections and acheckbox against each of these Sections Click on a checkbox against a Section that

you want to reset and then click on the RESET button Note that RESETTING a Sectionwill DELETE all the answers for questions in that Section Hence if you think that youmay want to select this Section again later you will have to note down your answersfor questions in that Section If you do not want to reset the Section and want tocontinue answering the previously chosen optional Section then click on the BACKbutton19 If you deselect the checkbox for an optional Section in the top bar the followingwarning message will appear Deselecting the checkbox will DELETE all the answersfor questions in this Section Do you want to deselect this Sectionrdquo If you want todeselect click on the RESET button If you do not want to deselect click on the BACKbutton20 You can shuffle between different Sections or change the optional Sections anynumber of timesGATE 2014 ExaminationME Mechanical EngineeringDuration 180 minutes Maximum Marks 100Read the following instructions carefully1 To login enter your Registration Number and password provided to you Kindly go through the varioussymbols used in the test and understand their meaning before you start the examination2 Once you login and after the start of the examination you can view all the questions in the questionpaper by clicking on the View All Questions button in the screen3 This question paper consists of 2 sections General Aptitude (GA) for 15 marks and the subjectspecific GATE paper for 85 marks Both these sections are compulsoryThe GA section consists of 10 questions Question numbers 1 to 5 are of 1-mark each while questionnumbers 6 to 10 are of 2-mark eachThe subject specific GATE paper section consists of 55 questions out of which question numbers 1 to25 are of 1-mark each while question numbers 26 to 55 are of 2-mark each4 Depending upon the GATE paper there may be useful common data that may be required foranswering the questions If the paper has such useful data the same can be viewed by clicking on theUseful Common Data button that appears at the top right hand side of the screen5 The computer allotted to you at the examination center runs specialized software that permits only oneanswer to be selected for multiple-choice questions using a mouse and to enter a suitable number forthe numerical answer type questions using the virtual keyboard and mouse6 Your answers shall be updated and saved on a server periodically and also at the end of the

examination The examination will stop automatically at the end of 180 minutes7 In each paper a candidate can answer a total of 65 questions carrying 100 marks8 The question paper may consist of questions of multiple choice type (MCQ) and numerical answertype9 Multiple choice type questions will have four choices against A B C D out of which only ONE is thecorrect answer The candidate has to choose the correct answer by clicking on the bubble ( ⃝) placedbefore the choice10 For numerical answer type questions each question will have a numerical answer and there will not beany choices For these questions the answer should be enteredby using the virtual keyboard thatappears on the monitor and the mouse11 All questions that are not attempted will result in zero marks However wrong answers for multiplechoice type questions (MCQ) will result in NEGATIVE marks For all MCQ questions a wronganswer will result in deduction of⅓ marks for a 1-mark question and ⅔ marks for a 2-mark question12 There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE13 Non-programmable type Calculator is allowed Charts graph sheets and mathematical tables are NOTallowed in the Examination Hall You must use the Scribble pad provided to you at the examinationcentre for all your rough work The Scribble Pad has to be returned at the end of the examinationDeclaration by the candidateldquoI have read and understood all the above instructions I have also read and understood clearly theinstructions given on the admit card and shall follow the same I also understand that in case I am found toviolate any of these instructions my candidature is liable to be cancelled I also confirm that at the start ofthe examination all the computer hardware allotted to me are in proper working conditionrdquoGATE 2014 SET- 3 General Aptitude -GAGA 12

Q 1 ndash Q 5 carry one mark eachQ1 C hoose the most appropriate phrase from the options given below to complete the followingsentenceThe aircraft take off as soon as its flight plan was filed(A) is allowed to (B) will be allowed to(C) was allowed to (D) has been allowed toQ2 R ead the statementsAll women are entrepreneursSome women are doctorsWhich of the following conclusions can be logically inferred from the above statements(A) All women are doctors (B) All doctors are entrepreneurs(C) All entrepreneurs are women (D) Some entrepreneurs are doctorsQ3 C hoose the most appropriate word from the options given below to complete the followingsentenceMany ancient cultures attributed disease to supernatural causes However modern science haslargely helped _________ such notions(A) impel (B) dispel (C) propel (D) repelQ4 T he statistics of runs scored in a series by four batsmen are provided in the following table Who isthe most consistent batsman of these fourBatsman Average Standard deviationK 312 521L 460 635M 544 622

N 179 590(A) K (B) L (C) M (D) NQ5 W hat is the next number in the series12 35 81 173 357 ____Q 6 ndash Q 10 carry two marks eachQ6 F ind the odd one from the following groupWEKO IQWA FNTX NVBD(A) WEKO (B) IQWA (C) FNTX (D) NVBD

GA03 (GATE 2014)GATE 2014 SET- 3 General Aptitude -GAGA 22Q7 F or submitting tax returns all resident males with annual income below Rs 10 lakh should fill upForm P and all resident females with income below Rs 8 lakh should fill up Form Q All peoplewith incomes above Rs 10 lakh should fill up Form R except non residents with income above Rs15 lakhs who should fill up Form S All others should fill Form T An example of a person whoshould fill Form T is(A) a resident male with annual income Rs 9 lakh(B) a resident female with annual income Rs 9 lakh(C) a non-resident male with annual income Rs 16 lakh(D) a non-resident female with annual income Rs 16 lakhQ8 A train that is 280 metres long travelling at a uniform speed crosses a platform in 60 seconds andpasses a man standing on the platform in 20 seconds What is the length of the platform in metresQ9 T he exports and imports (in crores of Rs) of a country from 2000 to 2007 are given in thefollowing bar chart If the trade deficit is defined as excess of imports over exports in which year isthe trade deficit 15th of the exports(A) 2005 (B) 2004 (C) 2007 (D) 2006Q10 Y ou are given three coins one has heads on both faces the second has tails on both faces and thethird has a head on one face and a tail on the other You choose a coin at random and toss it and itcomes up heads The probability that the other face is tails is(A) 14 (B) 13 (C) 12 (D) 23END OF THE QUESTION PAPER0102030405060

7080901001101202000 2001 2002 2003 2004 2005 2006 2007Exports Imports

GA03 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 110

Q 1 ndash Q 25 carry one mark eachQ1Given that the determinant of the matrix 10520051 3 02 6 410520051 0 21052005 is 105200512 the determinant of the matrix10520052 6 04 12 810520052 0 41052005 is(A) 105200596 (B) 105200524 (C) 24 (D) 96Q20

sinLtx 1 cosx xrarr xminusminusis(A) 0 (B) 1 (C) 3 (D) not definedQ3The argument of the complex numberi

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

d Click on Mark for Review amp Next to save your answer for the current questionand also mark it for review and then go to the next questionCaution Note that your answer for the current question will not be saved if you navigateto another question directly by clicking on a question number without saving the answer tothe previous questionYou can view all the questions by clicking on the Question Paper button This feature isprovided so that if you want you can just see the entire question paper at a glanceAnswering a Question 8 Procedure for answering a multiple choice (MCQ) type questiona Choose one answer from the 4 options (ABCD) given below the questionclick on the bubble placed before the chosen optionb To deselect your chosen answer click on the bubble of the chosen option againor click on the Clear Response buttonc To change your chosen answer click on the bubble of another optiond To save your answer you MUST click on the Save amp Next button9 Procedure for answering a numerical answer type questiona To enter a number as your answer use the virtual numerical keypadb A fraction (eg -03 or -3) can be entered as an answer with or without 0before the decimal point As many as four decimal points eg 125435 or0003 or -9326711 or 1282 can be enteredc To clear your answer click on the Clear Response buttond To save your answer you MUST click on the Save amp Next button10 To mark a question for review click on the Mark for Review amp Next button If ananswer is selected (for MCQ) or entered (for numerical answer type) for a questionthat is Marked for Review that answer will be considered in the evaluation unlessthe status is modified by the candidate11 To change your answer to a question that has already been answered first select

that question for answering and then follow the procedure for answering that type ofquestion12 Note that ONLY Questions for which answers are saved or marked for review afteranswering will be considered for evaluationChoosing a Section 13 Sections in this question paper are displayed on the top bar of the screen Questionsin a Section can be viewed by clicking on the name of that Section The Section youare currently viewing will be highlighted14 A checkbox is displayed for every optional Section if any in the Question Paper Toselect the optional Section for answering click on the checkbox for that Section15 If the checkbox for an optional Section is not selected the Save amp Next button andthe Mark for Review amp Next button will NOT be enabled for that Section You willonly be able to see questions in this Section but you will not be able to answerquestions in the Section16 After clicking the Save amp Next button for the last question in a Section you willautomatically be taken to the first question of the next Section in sequence17 You can move the mouse cursor over the name of a Section to view the answeringstatus for that SectionChanging the Optional Section 18 After answering the chosen optional Section partially or completely you can changethe optional Section by selecting the checkbox for a new Section that you want toattempt A warning message will appear along with a table showing the number ofquestions answered in each of the previously chosen optional Sections and acheckbox against each of these Sections Click on a checkbox against a Section that

you want to reset and then click on the RESET button Note that RESETTING a Sectionwill DELETE all the answers for questions in that Section Hence if you think that youmay want to select this Section again later you will have to note down your answersfor questions in that Section If you do not want to reset the Section and want tocontinue answering the previously chosen optional Section then click on the BACKbutton19 If you deselect the checkbox for an optional Section in the top bar the followingwarning message will appear Deselecting the checkbox will DELETE all the answersfor questions in this Section Do you want to deselect this Sectionrdquo If you want todeselect click on the RESET button If you do not want to deselect click on the BACKbutton20 You can shuffle between different Sections or change the optional Sections anynumber of timesGATE 2014 ExaminationME Mechanical EngineeringDuration 180 minutes Maximum Marks 100Read the following instructions carefully1 To login enter your Registration Number and password provided to you Kindly go through the varioussymbols used in the test and understand their meaning before you start the examination2 Once you login and after the start of the examination you can view all the questions in the questionpaper by clicking on the View All Questions button in the screen3 This question paper consists of 2 sections General Aptitude (GA) for 15 marks and the subjectspecific GATE paper for 85 marks Both these sections are compulsoryThe GA section consists of 10 questions Question numbers 1 to 5 are of 1-mark each while questionnumbers 6 to 10 are of 2-mark eachThe subject specific GATE paper section consists of 55 questions out of which question numbers 1 to25 are of 1-mark each while question numbers 26 to 55 are of 2-mark each4 Depending upon the GATE paper there may be useful common data that may be required foranswering the questions If the paper has such useful data the same can be viewed by clicking on theUseful Common Data button that appears at the top right hand side of the screen5 The computer allotted to you at the examination center runs specialized software that permits only oneanswer to be selected for multiple-choice questions using a mouse and to enter a suitable number forthe numerical answer type questions using the virtual keyboard and mouse6 Your answers shall be updated and saved on a server periodically and also at the end of the

examination The examination will stop automatically at the end of 180 minutes7 In each paper a candidate can answer a total of 65 questions carrying 100 marks8 The question paper may consist of questions of multiple choice type (MCQ) and numerical answertype9 Multiple choice type questions will have four choices against A B C D out of which only ONE is thecorrect answer The candidate has to choose the correct answer by clicking on the bubble ( ⃝) placedbefore the choice10 For numerical answer type questions each question will have a numerical answer and there will not beany choices For these questions the answer should be enteredby using the virtual keyboard thatappears on the monitor and the mouse11 All questions that are not attempted will result in zero marks However wrong answers for multiplechoice type questions (MCQ) will result in NEGATIVE marks For all MCQ questions a wronganswer will result in deduction of⅓ marks for a 1-mark question and ⅔ marks for a 2-mark question12 There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE13 Non-programmable type Calculator is allowed Charts graph sheets and mathematical tables are NOTallowed in the Examination Hall You must use the Scribble pad provided to you at the examinationcentre for all your rough work The Scribble Pad has to be returned at the end of the examinationDeclaration by the candidateldquoI have read and understood all the above instructions I have also read and understood clearly theinstructions given on the admit card and shall follow the same I also understand that in case I am found toviolate any of these instructions my candidature is liable to be cancelled I also confirm that at the start ofthe examination all the computer hardware allotted to me are in proper working conditionrdquoGATE 2014 SET- 3 General Aptitude -GAGA 12

Q 1 ndash Q 5 carry one mark eachQ1 C hoose the most appropriate phrase from the options given below to complete the followingsentenceThe aircraft take off as soon as its flight plan was filed(A) is allowed to (B) will be allowed to(C) was allowed to (D) has been allowed toQ2 R ead the statementsAll women are entrepreneursSome women are doctorsWhich of the following conclusions can be logically inferred from the above statements(A) All women are doctors (B) All doctors are entrepreneurs(C) All entrepreneurs are women (D) Some entrepreneurs are doctorsQ3 C hoose the most appropriate word from the options given below to complete the followingsentenceMany ancient cultures attributed disease to supernatural causes However modern science haslargely helped _________ such notions(A) impel (B) dispel (C) propel (D) repelQ4 T he statistics of runs scored in a series by four batsmen are provided in the following table Who isthe most consistent batsman of these fourBatsman Average Standard deviationK 312 521L 460 635M 544 622

N 179 590(A) K (B) L (C) M (D) NQ5 W hat is the next number in the series12 35 81 173 357 ____Q 6 ndash Q 10 carry two marks eachQ6 F ind the odd one from the following groupWEKO IQWA FNTX NVBD(A) WEKO (B) IQWA (C) FNTX (D) NVBD

GA03 (GATE 2014)GATE 2014 SET- 3 General Aptitude -GAGA 22Q7 F or submitting tax returns all resident males with annual income below Rs 10 lakh should fill upForm P and all resident females with income below Rs 8 lakh should fill up Form Q All peoplewith incomes above Rs 10 lakh should fill up Form R except non residents with income above Rs15 lakhs who should fill up Form S All others should fill Form T An example of a person whoshould fill Form T is(A) a resident male with annual income Rs 9 lakh(B) a resident female with annual income Rs 9 lakh(C) a non-resident male with annual income Rs 16 lakh(D) a non-resident female with annual income Rs 16 lakhQ8 A train that is 280 metres long travelling at a uniform speed crosses a platform in 60 seconds andpasses a man standing on the platform in 20 seconds What is the length of the platform in metresQ9 T he exports and imports (in crores of Rs) of a country from 2000 to 2007 are given in thefollowing bar chart If the trade deficit is defined as excess of imports over exports in which year isthe trade deficit 15th of the exports(A) 2005 (B) 2004 (C) 2007 (D) 2006Q10 Y ou are given three coins one has heads on both faces the second has tails on both faces and thethird has a head on one face and a tail on the other You choose a coin at random and toss it and itcomes up heads The probability that the other face is tails is(A) 14 (B) 13 (C) 12 (D) 23END OF THE QUESTION PAPER0102030405060

7080901001101202000 2001 2002 2003 2004 2005 2006 2007Exports Imports

GA03 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 110

Q 1 ndash Q 25 carry one mark eachQ1Given that the determinant of the matrix 10520051 3 02 6 410520051 0 21052005 is 105200512 the determinant of the matrix10520052 6 04 12 810520052 0 41052005 is(A) 105200596 (B) 105200524 (C) 24 (D) 96Q20

sinLtx 1 cosx xrarr xminusminusis(A) 0 (B) 1 (C) 3 (D) not definedQ3The argument of the complex numberi

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

that question for answering and then follow the procedure for answering that type ofquestion12 Note that ONLY Questions for which answers are saved or marked for review afteranswering will be considered for evaluationChoosing a Section 13 Sections in this question paper are displayed on the top bar of the screen Questionsin a Section can be viewed by clicking on the name of that Section The Section youare currently viewing will be highlighted14 A checkbox is displayed for every optional Section if any in the Question Paper Toselect the optional Section for answering click on the checkbox for that Section15 If the checkbox for an optional Section is not selected the Save amp Next button andthe Mark for Review amp Next button will NOT be enabled for that Section You willonly be able to see questions in this Section but you will not be able to answerquestions in the Section16 After clicking the Save amp Next button for the last question in a Section you willautomatically be taken to the first question of the next Section in sequence17 You can move the mouse cursor over the name of a Section to view the answeringstatus for that SectionChanging the Optional Section 18 After answering the chosen optional Section partially or completely you can changethe optional Section by selecting the checkbox for a new Section that you want toattempt A warning message will appear along with a table showing the number ofquestions answered in each of the previously chosen optional Sections and acheckbox against each of these Sections Click on a checkbox against a Section that

you want to reset and then click on the RESET button Note that RESETTING a Sectionwill DELETE all the answers for questions in that Section Hence if you think that youmay want to select this Section again later you will have to note down your answersfor questions in that Section If you do not want to reset the Section and want tocontinue answering the previously chosen optional Section then click on the BACKbutton19 If you deselect the checkbox for an optional Section in the top bar the followingwarning message will appear Deselecting the checkbox will DELETE all the answersfor questions in this Section Do you want to deselect this Sectionrdquo If you want todeselect click on the RESET button If you do not want to deselect click on the BACKbutton20 You can shuffle between different Sections or change the optional Sections anynumber of timesGATE 2014 ExaminationME Mechanical EngineeringDuration 180 minutes Maximum Marks 100Read the following instructions carefully1 To login enter your Registration Number and password provided to you Kindly go through the varioussymbols used in the test and understand their meaning before you start the examination2 Once you login and after the start of the examination you can view all the questions in the questionpaper by clicking on the View All Questions button in the screen3 This question paper consists of 2 sections General Aptitude (GA) for 15 marks and the subjectspecific GATE paper for 85 marks Both these sections are compulsoryThe GA section consists of 10 questions Question numbers 1 to 5 are of 1-mark each while questionnumbers 6 to 10 are of 2-mark eachThe subject specific GATE paper section consists of 55 questions out of which question numbers 1 to25 are of 1-mark each while question numbers 26 to 55 are of 2-mark each4 Depending upon the GATE paper there may be useful common data that may be required foranswering the questions If the paper has such useful data the same can be viewed by clicking on theUseful Common Data button that appears at the top right hand side of the screen5 The computer allotted to you at the examination center runs specialized software that permits only oneanswer to be selected for multiple-choice questions using a mouse and to enter a suitable number forthe numerical answer type questions using the virtual keyboard and mouse6 Your answers shall be updated and saved on a server periodically and also at the end of the

examination The examination will stop automatically at the end of 180 minutes7 In each paper a candidate can answer a total of 65 questions carrying 100 marks8 The question paper may consist of questions of multiple choice type (MCQ) and numerical answertype9 Multiple choice type questions will have four choices against A B C D out of which only ONE is thecorrect answer The candidate has to choose the correct answer by clicking on the bubble ( ⃝) placedbefore the choice10 For numerical answer type questions each question will have a numerical answer and there will not beany choices For these questions the answer should be enteredby using the virtual keyboard thatappears on the monitor and the mouse11 All questions that are not attempted will result in zero marks However wrong answers for multiplechoice type questions (MCQ) will result in NEGATIVE marks For all MCQ questions a wronganswer will result in deduction of⅓ marks for a 1-mark question and ⅔ marks for a 2-mark question12 There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE13 Non-programmable type Calculator is allowed Charts graph sheets and mathematical tables are NOTallowed in the Examination Hall You must use the Scribble pad provided to you at the examinationcentre for all your rough work The Scribble Pad has to be returned at the end of the examinationDeclaration by the candidateldquoI have read and understood all the above instructions I have also read and understood clearly theinstructions given on the admit card and shall follow the same I also understand that in case I am found toviolate any of these instructions my candidature is liable to be cancelled I also confirm that at the start ofthe examination all the computer hardware allotted to me are in proper working conditionrdquoGATE 2014 SET- 3 General Aptitude -GAGA 12

Q 1 ndash Q 5 carry one mark eachQ1 C hoose the most appropriate phrase from the options given below to complete the followingsentenceThe aircraft take off as soon as its flight plan was filed(A) is allowed to (B) will be allowed to(C) was allowed to (D) has been allowed toQ2 R ead the statementsAll women are entrepreneursSome women are doctorsWhich of the following conclusions can be logically inferred from the above statements(A) All women are doctors (B) All doctors are entrepreneurs(C) All entrepreneurs are women (D) Some entrepreneurs are doctorsQ3 C hoose the most appropriate word from the options given below to complete the followingsentenceMany ancient cultures attributed disease to supernatural causes However modern science haslargely helped _________ such notions(A) impel (B) dispel (C) propel (D) repelQ4 T he statistics of runs scored in a series by four batsmen are provided in the following table Who isthe most consistent batsman of these fourBatsman Average Standard deviationK 312 521L 460 635M 544 622

N 179 590(A) K (B) L (C) M (D) NQ5 W hat is the next number in the series12 35 81 173 357 ____Q 6 ndash Q 10 carry two marks eachQ6 F ind the odd one from the following groupWEKO IQWA FNTX NVBD(A) WEKO (B) IQWA (C) FNTX (D) NVBD

GA03 (GATE 2014)GATE 2014 SET- 3 General Aptitude -GAGA 22Q7 F or submitting tax returns all resident males with annual income below Rs 10 lakh should fill upForm P and all resident females with income below Rs 8 lakh should fill up Form Q All peoplewith incomes above Rs 10 lakh should fill up Form R except non residents with income above Rs15 lakhs who should fill up Form S All others should fill Form T An example of a person whoshould fill Form T is(A) a resident male with annual income Rs 9 lakh(B) a resident female with annual income Rs 9 lakh(C) a non-resident male with annual income Rs 16 lakh(D) a non-resident female with annual income Rs 16 lakhQ8 A train that is 280 metres long travelling at a uniform speed crosses a platform in 60 seconds andpasses a man standing on the platform in 20 seconds What is the length of the platform in metresQ9 T he exports and imports (in crores of Rs) of a country from 2000 to 2007 are given in thefollowing bar chart If the trade deficit is defined as excess of imports over exports in which year isthe trade deficit 15th of the exports(A) 2005 (B) 2004 (C) 2007 (D) 2006Q10 Y ou are given three coins one has heads on both faces the second has tails on both faces and thethird has a head on one face and a tail on the other You choose a coin at random and toss it and itcomes up heads The probability that the other face is tails is(A) 14 (B) 13 (C) 12 (D) 23END OF THE QUESTION PAPER0102030405060

7080901001101202000 2001 2002 2003 2004 2005 2006 2007Exports Imports

GA03 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 110

Q 1 ndash Q 25 carry one mark eachQ1Given that the determinant of the matrix 10520051 3 02 6 410520051 0 21052005 is 105200512 the determinant of the matrix10520052 6 04 12 810520052 0 41052005 is(A) 105200596 (B) 105200524 (C) 24 (D) 96Q20

sinLtx 1 cosx xrarr xminusminusis(A) 0 (B) 1 (C) 3 (D) not definedQ3The argument of the complex numberi

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

you want to reset and then click on the RESET button Note that RESETTING a Sectionwill DELETE all the answers for questions in that Section Hence if you think that youmay want to select this Section again later you will have to note down your answersfor questions in that Section If you do not want to reset the Section and want tocontinue answering the previously chosen optional Section then click on the BACKbutton19 If you deselect the checkbox for an optional Section in the top bar the followingwarning message will appear Deselecting the checkbox will DELETE all the answersfor questions in this Section Do you want to deselect this Sectionrdquo If you want todeselect click on the RESET button If you do not want to deselect click on the BACKbutton20 You can shuffle between different Sections or change the optional Sections anynumber of timesGATE 2014 ExaminationME Mechanical EngineeringDuration 180 minutes Maximum Marks 100Read the following instructions carefully1 To login enter your Registration Number and password provided to you Kindly go through the varioussymbols used in the test and understand their meaning before you start the examination2 Once you login and after the start of the examination you can view all the questions in the questionpaper by clicking on the View All Questions button in the screen3 This question paper consists of 2 sections General Aptitude (GA) for 15 marks and the subjectspecific GATE paper for 85 marks Both these sections are compulsoryThe GA section consists of 10 questions Question numbers 1 to 5 are of 1-mark each while questionnumbers 6 to 10 are of 2-mark eachThe subject specific GATE paper section consists of 55 questions out of which question numbers 1 to25 are of 1-mark each while question numbers 26 to 55 are of 2-mark each4 Depending upon the GATE paper there may be useful common data that may be required foranswering the questions If the paper has such useful data the same can be viewed by clicking on theUseful Common Data button that appears at the top right hand side of the screen5 The computer allotted to you at the examination center runs specialized software that permits only oneanswer to be selected for multiple-choice questions using a mouse and to enter a suitable number forthe numerical answer type questions using the virtual keyboard and mouse6 Your answers shall be updated and saved on a server periodically and also at the end of the

examination The examination will stop automatically at the end of 180 minutes7 In each paper a candidate can answer a total of 65 questions carrying 100 marks8 The question paper may consist of questions of multiple choice type (MCQ) and numerical answertype9 Multiple choice type questions will have four choices against A B C D out of which only ONE is thecorrect answer The candidate has to choose the correct answer by clicking on the bubble ( ⃝) placedbefore the choice10 For numerical answer type questions each question will have a numerical answer and there will not beany choices For these questions the answer should be enteredby using the virtual keyboard thatappears on the monitor and the mouse11 All questions that are not attempted will result in zero marks However wrong answers for multiplechoice type questions (MCQ) will result in NEGATIVE marks For all MCQ questions a wronganswer will result in deduction of⅓ marks for a 1-mark question and ⅔ marks for a 2-mark question12 There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE13 Non-programmable type Calculator is allowed Charts graph sheets and mathematical tables are NOTallowed in the Examination Hall You must use the Scribble pad provided to you at the examinationcentre for all your rough work The Scribble Pad has to be returned at the end of the examinationDeclaration by the candidateldquoI have read and understood all the above instructions I have also read and understood clearly theinstructions given on the admit card and shall follow the same I also understand that in case I am found toviolate any of these instructions my candidature is liable to be cancelled I also confirm that at the start ofthe examination all the computer hardware allotted to me are in proper working conditionrdquoGATE 2014 SET- 3 General Aptitude -GAGA 12

Q 1 ndash Q 5 carry one mark eachQ1 C hoose the most appropriate phrase from the options given below to complete the followingsentenceThe aircraft take off as soon as its flight plan was filed(A) is allowed to (B) will be allowed to(C) was allowed to (D) has been allowed toQ2 R ead the statementsAll women are entrepreneursSome women are doctorsWhich of the following conclusions can be logically inferred from the above statements(A) All women are doctors (B) All doctors are entrepreneurs(C) All entrepreneurs are women (D) Some entrepreneurs are doctorsQ3 C hoose the most appropriate word from the options given below to complete the followingsentenceMany ancient cultures attributed disease to supernatural causes However modern science haslargely helped _________ such notions(A) impel (B) dispel (C) propel (D) repelQ4 T he statistics of runs scored in a series by four batsmen are provided in the following table Who isthe most consistent batsman of these fourBatsman Average Standard deviationK 312 521L 460 635M 544 622

N 179 590(A) K (B) L (C) M (D) NQ5 W hat is the next number in the series12 35 81 173 357 ____Q 6 ndash Q 10 carry two marks eachQ6 F ind the odd one from the following groupWEKO IQWA FNTX NVBD(A) WEKO (B) IQWA (C) FNTX (D) NVBD

GA03 (GATE 2014)GATE 2014 SET- 3 General Aptitude -GAGA 22Q7 F or submitting tax returns all resident males with annual income below Rs 10 lakh should fill upForm P and all resident females with income below Rs 8 lakh should fill up Form Q All peoplewith incomes above Rs 10 lakh should fill up Form R except non residents with income above Rs15 lakhs who should fill up Form S All others should fill Form T An example of a person whoshould fill Form T is(A) a resident male with annual income Rs 9 lakh(B) a resident female with annual income Rs 9 lakh(C) a non-resident male with annual income Rs 16 lakh(D) a non-resident female with annual income Rs 16 lakhQ8 A train that is 280 metres long travelling at a uniform speed crosses a platform in 60 seconds andpasses a man standing on the platform in 20 seconds What is the length of the platform in metresQ9 T he exports and imports (in crores of Rs) of a country from 2000 to 2007 are given in thefollowing bar chart If the trade deficit is defined as excess of imports over exports in which year isthe trade deficit 15th of the exports(A) 2005 (B) 2004 (C) 2007 (D) 2006Q10 Y ou are given three coins one has heads on both faces the second has tails on both faces and thethird has a head on one face and a tail on the other You choose a coin at random and toss it and itcomes up heads The probability that the other face is tails is(A) 14 (B) 13 (C) 12 (D) 23END OF THE QUESTION PAPER0102030405060

7080901001101202000 2001 2002 2003 2004 2005 2006 2007Exports Imports

GA03 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 110

Q 1 ndash Q 25 carry one mark eachQ1Given that the determinant of the matrix 10520051 3 02 6 410520051 0 21052005 is 105200512 the determinant of the matrix10520052 6 04 12 810520052 0 41052005 is(A) 105200596 (B) 105200524 (C) 24 (D) 96Q20

sinLtx 1 cosx xrarr xminusminusis(A) 0 (B) 1 (C) 3 (D) not definedQ3The argument of the complex numberi

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

examination The examination will stop automatically at the end of 180 minutes7 In each paper a candidate can answer a total of 65 questions carrying 100 marks8 The question paper may consist of questions of multiple choice type (MCQ) and numerical answertype9 Multiple choice type questions will have four choices against A B C D out of which only ONE is thecorrect answer The candidate has to choose the correct answer by clicking on the bubble ( ⃝) placedbefore the choice10 For numerical answer type questions each question will have a numerical answer and there will not beany choices For these questions the answer should be enteredby using the virtual keyboard thatappears on the monitor and the mouse11 All questions that are not attempted will result in zero marks However wrong answers for multiplechoice type questions (MCQ) will result in NEGATIVE marks For all MCQ questions a wronganswer will result in deduction of⅓ marks for a 1-mark question and ⅔ marks for a 2-mark question12 There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE13 Non-programmable type Calculator is allowed Charts graph sheets and mathematical tables are NOTallowed in the Examination Hall You must use the Scribble pad provided to you at the examinationcentre for all your rough work The Scribble Pad has to be returned at the end of the examinationDeclaration by the candidateldquoI have read and understood all the above instructions I have also read and understood clearly theinstructions given on the admit card and shall follow the same I also understand that in case I am found toviolate any of these instructions my candidature is liable to be cancelled I also confirm that at the start ofthe examination all the computer hardware allotted to me are in proper working conditionrdquoGATE 2014 SET- 3 General Aptitude -GAGA 12

Q 1 ndash Q 5 carry one mark eachQ1 C hoose the most appropriate phrase from the options given below to complete the followingsentenceThe aircraft take off as soon as its flight plan was filed(A) is allowed to (B) will be allowed to(C) was allowed to (D) has been allowed toQ2 R ead the statementsAll women are entrepreneursSome women are doctorsWhich of the following conclusions can be logically inferred from the above statements(A) All women are doctors (B) All doctors are entrepreneurs(C) All entrepreneurs are women (D) Some entrepreneurs are doctorsQ3 C hoose the most appropriate word from the options given below to complete the followingsentenceMany ancient cultures attributed disease to supernatural causes However modern science haslargely helped _________ such notions(A) impel (B) dispel (C) propel (D) repelQ4 T he statistics of runs scored in a series by four batsmen are provided in the following table Who isthe most consistent batsman of these fourBatsman Average Standard deviationK 312 521L 460 635M 544 622

N 179 590(A) K (B) L (C) M (D) NQ5 W hat is the next number in the series12 35 81 173 357 ____Q 6 ndash Q 10 carry two marks eachQ6 F ind the odd one from the following groupWEKO IQWA FNTX NVBD(A) WEKO (B) IQWA (C) FNTX (D) NVBD

GA03 (GATE 2014)GATE 2014 SET- 3 General Aptitude -GAGA 22Q7 F or submitting tax returns all resident males with annual income below Rs 10 lakh should fill upForm P and all resident females with income below Rs 8 lakh should fill up Form Q All peoplewith incomes above Rs 10 lakh should fill up Form R except non residents with income above Rs15 lakhs who should fill up Form S All others should fill Form T An example of a person whoshould fill Form T is(A) a resident male with annual income Rs 9 lakh(B) a resident female with annual income Rs 9 lakh(C) a non-resident male with annual income Rs 16 lakh(D) a non-resident female with annual income Rs 16 lakhQ8 A train that is 280 metres long travelling at a uniform speed crosses a platform in 60 seconds andpasses a man standing on the platform in 20 seconds What is the length of the platform in metresQ9 T he exports and imports (in crores of Rs) of a country from 2000 to 2007 are given in thefollowing bar chart If the trade deficit is defined as excess of imports over exports in which year isthe trade deficit 15th of the exports(A) 2005 (B) 2004 (C) 2007 (D) 2006Q10 Y ou are given three coins one has heads on both faces the second has tails on both faces and thethird has a head on one face and a tail on the other You choose a coin at random and toss it and itcomes up heads The probability that the other face is tails is(A) 14 (B) 13 (C) 12 (D) 23END OF THE QUESTION PAPER0102030405060

7080901001101202000 2001 2002 2003 2004 2005 2006 2007Exports Imports

GA03 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 110

Q 1 ndash Q 25 carry one mark eachQ1Given that the determinant of the matrix 10520051 3 02 6 410520051 0 21052005 is 105200512 the determinant of the matrix10520052 6 04 12 810520052 0 41052005 is(A) 105200596 (B) 105200524 (C) 24 (D) 96Q20

sinLtx 1 cosx xrarr xminusminusis(A) 0 (B) 1 (C) 3 (D) not definedQ3The argument of the complex numberi

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

N 179 590(A) K (B) L (C) M (D) NQ5 W hat is the next number in the series12 35 81 173 357 ____Q 6 ndash Q 10 carry two marks eachQ6 F ind the odd one from the following groupWEKO IQWA FNTX NVBD(A) WEKO (B) IQWA (C) FNTX (D) NVBD

GA03 (GATE 2014)GATE 2014 SET- 3 General Aptitude -GAGA 22Q7 F or submitting tax returns all resident males with annual income below Rs 10 lakh should fill upForm P and all resident females with income below Rs 8 lakh should fill up Form Q All peoplewith incomes above Rs 10 lakh should fill up Form R except non residents with income above Rs15 lakhs who should fill up Form S All others should fill Form T An example of a person whoshould fill Form T is(A) a resident male with annual income Rs 9 lakh(B) a resident female with annual income Rs 9 lakh(C) a non-resident male with annual income Rs 16 lakh(D) a non-resident female with annual income Rs 16 lakhQ8 A train that is 280 metres long travelling at a uniform speed crosses a platform in 60 seconds andpasses a man standing on the platform in 20 seconds What is the length of the platform in metresQ9 T he exports and imports (in crores of Rs) of a country from 2000 to 2007 are given in thefollowing bar chart If the trade deficit is defined as excess of imports over exports in which year isthe trade deficit 15th of the exports(A) 2005 (B) 2004 (C) 2007 (D) 2006Q10 Y ou are given three coins one has heads on both faces the second has tails on both faces and thethird has a head on one face and a tail on the other You choose a coin at random and toss it and itcomes up heads The probability that the other face is tails is(A) 14 (B) 13 (C) 12 (D) 23END OF THE QUESTION PAPER0102030405060

7080901001101202000 2001 2002 2003 2004 2005 2006 2007Exports Imports

GA03 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 110

Q 1 ndash Q 25 carry one mark eachQ1Given that the determinant of the matrix 10520051 3 02 6 410520051 0 21052005 is 105200512 the determinant of the matrix10520052 6 04 12 810520052 0 41052005 is(A) 105200596 (B) 105200524 (C) 24 (D) 96Q20

sinLtx 1 cosx xrarr xminusminusis(A) 0 (B) 1 (C) 3 (D) not definedQ3The argument of the complex numberi

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

7080901001101202000 2001 2002 2003 2004 2005 2006 2007Exports Imports

GA03 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 110

Q 1 ndash Q 25 carry one mark eachQ1Given that the determinant of the matrix 10520051 3 02 6 410520051 0 21052005 is 105200512 the determinant of the matrix10520052 6 04 12 810520052 0 41052005 is(A) 105200596 (B) 105200524 (C) 24 (D) 96Q20

sinLtx 1 cosx xrarr xminusminusis(A) 0 (B) 1 (C) 3 (D) not definedQ3The argument of the complex numberi

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

iminus+11 where i = minus1 is(A) minus π (B)2πminus (C)2π(D) πQ4 The matrix form of the linear system 1052005105200510520051052005 1052005 31052005 1052005 51052005 and 10520051052005

10520051052005 1052005 41052005 1052005 81052005 is(A)d 3 5d 4 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(B)d 3 8d 4 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬(C)d 4 5d 3 8x xt y y⎧ ⎫ ⎡ minus ⎤ ⎧ ⎫⎨ ⎬ =⎢ ⎥⎨ ⎬⎩ ⎭ ⎣ ⎦ ⎩ ⎭(D)d 4 8d 3 5x xt y y⎧ ⎫ ⎡ ⎤⎧ ⎫

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

⎨⎩ ⎭⎬= ⎣⎢ minus ⎦⎥⎩⎨ ⎭⎬Q5 Which one of the following describes the relationship among the three vectors iˆ + ˆj + kˆ 2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ (A) The vectors are mutually perpendicular (B) The vectors are linearly dependent(C) The vectors are linearly independent (D) The vectors are unit vectorsQ6 A circular rod of length lsquoLrsquo and area of cross-section lsquoArsquo has a modulus of elasticity lsquoErsquo andcoefficient of thermal expansion lsquoαrsquo One end of the rod is fixed and other end is free If thetemperature of the rod is increased by ΔT then(A) stress developed in the rod is E α ΔT and strain developed in the rod is α ΔT(B) both stress and strain developed in the rod are zero(C) stress developed in the rod is zero and strain developed in the rod is α ΔT(D) stress developed in the rod is E α ΔT and strain developed in the rod is zero

ME01 (GATE 2014)GATE 2014MEQ7 A mat t00Q8 Cri(A)(B)(C)(D)Q9 A cvel(A)(C)Q10 ForI MII AInd(A)(C)Q11 A rmagof V(A)Q12 Bio

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

(A)(B)(C)(D)4metallic rodthe ends ex15 mm Theitical dampin) largest amo) smallest am) largest amo) smallest amcircular objecocity V The) zero) V opposite tr the given stMating spurrevolute jodicate the cor) Both I and I) I is false anrigid link PQgnitude andVP (in ms) a) 214ot number sig) convective) conductive) inertia force) buoyancy foof 500 mm lxperiences anPoissonrsquos rang is theount of dampmount of damount of dampmount of damct of radius rvelocity at tto the directitatementsgear teeth isoint is an exarrect answerII are falsed II is trueQ is 2 m lo

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

direction ofat this instant(B)gnifies the raresistance inresistance ine to viscous fforce to viscoSETlengthand 50n increase inatio of the roping for whicmping for whiing for whicmping for whirolls withothe point of cion of motionan exampleample of lowong and orief velocity VQ

t is189atio ofn the fluid ton the solid toforce in the fous force in t-10 mm diamen its length bd material isch no oscillatich no oscillah the motionich the motiout slipping ocontact betw(n (of higher pawer pair((ented at 20o

Q and the dir(C)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

conductive rconvective rfluidthe fluideter when suby 05 mms _______tion occurs ination occursn is simple haon is simpleon a horizonteen the objecB) V in theD) V verticaairB) I is true aD) Both I anto the horizrection of ve121resistance inresistance inMubjected to aand a reducn free vibratiin free vibraarmonic in frharmonic intal level floorct and the flodirection ofally upwardand II is falsend II are truezontal as shoelocity VP are(D)the solidthe fluidMECHANICtensile forcection in its dionationree vibrationfree vibratior with the ce

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

oor ismotionfrom the flooeown in thee given The096CAL ndash ME210e of 100 kNdiameter bynonnter havingorfigure Thee magnitude0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 310Q13 The maximum theoretical work obtainable when a system interacts to equilibrium with a referenceenvironment is called(A) Entropy (B) Enthalpy (C) Exergy (D) RothalpyQ14 Consider a two-dimensional laminar flow over a long cylinder as shown in the figure belowThe free stream velocity is Uinfin and the free stream temperature Tinfin is lower than the cylindersurface temperature Ts The local heat transfer coefficient is minimum at point(A) 1 (B) 2 (C) 3 (D) 4Q15 For a completely submerged body with centre of gravity lsquoGrsquo and centre of buoyancy lsquoBrsquo thecondition of stability will be(A) G is located below B (B) G is located above B(C) G and B are coincident (D) independent of the locations of G and BQ16 In a power plant water (density = 1000 kgm3) is pumped from 80 kPa to 3 MPa The pump has anisentropic efficiency of 085 Assuming that the temperature of the water remains the same thespecific work (in kJkg) supplied to the pump is(A) 034 (B) 248 (C) 292 (D) 343Q17 Which one of the following is a CFC refrigerant(A) R744 (B) R290 (C) R502 (D) R718Q18 The jobs arrive at a facility for service in a random manner The probability distribution of number

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

of arrivals of jobs in a fixed time interval is(A) Normal (B) Poisson (C) Erlang (D) BetaQ19 In exponential smoothening method which one of the following is true(A) 0 le α le 1 and high value of α is used for stable demand(B) 0 le α le 1 and high value of α is used for unstable demand(C) α ge 1 and high value of α is used for stable demand(D) α le 0 and high value of α is used for unstable demand2Uinfin 13Tinfin 4Ts

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 410Q20 For machining a rectangular island represented by coordinates P(00) Q(1000) R(10050) andS(050) on a casting using CNC milling machine an end mill with a diameter of 16 mm is usedThe trajectory of the cutter centre to machine the island PQRS is(A) (minus8 minus8) (108 minus8) (10858) (minus858) (minus8 minus8)(B) (88) (948) (9444) (844) (88)(C) (minus88) (940) (9444) (844) (minus88)(D) (00) (1000) (10050) (500) (00)Q21 Which one of the following instruments is widely used to check and calibrate geometric features ofmachine tools during their assembly(A) Ultrasonic probe (B) Coordinate Measuring Machine (CMM)(C) Laser interferometer (D) Vernier calipersQ22 The major difficulty during welding of aluminium is due to its(A) high tendency of oxidation (B) high thermal conductivity(C) low melting point (D) low densityQ23 The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metalis 400 N The turning was performed using 2 mm depth of cut and 01 mmrev feed rate Thespecific cutting pressure (in Nmm2) is(A) 1000 (B) 2000 (C) 3000 (D) 4000Q24 The process of reheating the martensitic steel to reduce its brittleness without any significant loss inits hardness is(A) normalising (B) annealing (C) quenching (D) temperingQ25 In solid-state welding the contamination layers between the surfaces to be welded are removed by(A) alcohol (B) plastic deformation

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

(C) water jet (D) sand blasting

ME01 (GATE 2014)GATE 2014ME

Q 26 ndash QQ26Theclo(A)Q27If yx =Q28 Instan(A)Q29 UsidefQ30 ThemaxQ31 A btiedsur(A)4 55 carrye integral int 1052005ckwise direc) 0= f(x) is the10 f(15) =the followinndard deviati) 018ing the trapefinite integrale state of stximum tensi

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

block R of md to the wallfaces is 04) 069two mark( d dC

y xminusxction The int(B)e solution of_______ng table x iion of x is(B)ezoidal rulel11

x dx+minus

int istress at a poile stress (in Mmass 100 kg iby a masslethe minimum(B)SETkseachdy) is evalutegral is equa4πminusf22

d0dyx= ws a discretexp(x)036

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

and dividing_______oint is givenMPa) at the pis placed oness and inextm force F (in088-1uated alongal to(C)with the bounrandom var103(C)g the intervaln by σx = minuspoint is ____a block S oftensible strinn kN) needed(C)the circle2πminusndary conditiriable and p2 306 01054l of integratio6 MPa σy =____f mass 150 kgng PQ If thed to move the098M2 2 14x +y =(D)ions y = 5 atp(x) is the p(D)on into three

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

4 MPa ang as shown ie coefficiente block S is(D)MECHANICtraversed4πt x = 0 andprobability d06e equal subinnd τxy = minus8in the figureof static fric137CAL ndash ME510in counterd2dyx= atensity Thentervals theMPa TheBlock R isction for all0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 610Q32 A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speedreduction of 51 The number of teeth on pinion is _______Q33 Consider a cantilever beam having negligible mass and uniform flexural rigidity with length

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

001 m The frequency of vibration of the beam with a 05 kg mass attached at the free tip is100 Hz The flexural rigidity (in Nm2) of the beam is _______Q34 An ideal water jet with volume flow rate of 005 m3s strikes a flat plate placed normal to its pathand exerts a force of 1000 N Considering the density of water as 1000 kgm3 the diameter (in mm)of the water jet is _______Q35 A block weighing 200 N is in contact with a level plane whose coefficients of static and kineticfriction are 04 and 02 respectively The block is acted upon by a horizontal force (in newton)P=10t where t denotes the time in seconds The velocity (in ms) of the block attained after10 seconds is _______Q36 A slider crank mechanism has slider mass of 10 kg stroke of 02 m and rotates with a uniformangular velocity of 10 rads The primary inertia forces of the slider are partially balanced by arevolving mass of 6 kg at the crank placed at a distance equal to crank radius Neglect the mass ofconnecting rod and crank When the crank angle (with respect to slider axis) is 30deg the unbalancedforce (in newton) normal to the slider axis is _______Q37 An offset slider-crank mechanism is shown in the figure at an instant Conventionally the QuickReturn Ratio (QRR) is considered to be greater than one The value of QRR is _______10 mm20 mm40 mm

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 710Q38 A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L3 CB = 2L3 EndsA and B are supported by springs of spring constant k The natural frequency of the system is givenby(A) 1052005 105200510520051052005(B) 1052005 10520051052005(C) 1052005105200510520051052005(D) 1052005105200510520051052005Q39 A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm Bothbearing bore diameter and length are 40 mm If radial clearance is 20 μm and bearing is lubricatedwith an oil having viscosity 003 Pas the Sommerfeld number of the bearing is _______Q40 A 200 mm long stress free rod at room temperature is held between two immovable rigid wallsThe temperature of the rod is uniformly raised by 250degC If the Youngrsquos modulus and coefficient ofthermal expansion are 200 GPa and 1times10minus5 degC respectively the magnitude of the longitudinal

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

stress (in MPa) developed in the rod is _______Q41 15 kg of water is in saturated liquid state at 2 bar (vf = 0001061 m3kg uf = 5040 kJkghf = 505 kJkg) Heat is added in a constant pressure process till the temperature of water reaches400degC (v = 15493 m3kg u = 29670 kJkg h = 32770 kJkg) The heat added (in kJ) in the processis _______k kL3 2L3ACB

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 810Q42 Consider one dimensional steady state heat conduction across a wall (as shown in figure below) ofthickness 30 mm and thermal conductivity 15 WmK At x = 0 a constant heat fluxq = 1times105 Wm2 is applied On the other side of the wall heat is removed from the wall byconvection with a fluid at 25degC and heat transfer coefficient of 250 Wm2K The temperature(in degC) at x = 0 is _______Q43 Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kghr at 25degC Theviscosity of water at 25degC is 0001 kgms The Reynolds number of the flow is _______Q44 For a fully developed flow of water in a pipe having diameter 10 cm velocity 01 ms andkinematic viscosity 10minus5 m2s the value of Darcy friction factor is _______Q45 In a simple concentric shaft-bearing arrangement the lubricant flows in the 2 mm gap between theshaft and the bearing The flow may be assumed to be a plane Couette flow with zero pressuregradient The diameter of the shaft is 100 mm and its tangential speed is 10 ms The dynamicviscosity of the lubricant is 01 kgms The frictional resisting force (in newton) per 100 mm lengthof the bearing is _______Q46 The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate isgiven by2⎟⎠ ⎞⎜⎝= + + ⎛minusminusinfin LycL

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

ya bT TT TW

W where y is measured perpendicular to the plate L is the platelength and a b and c are arbitrary constants TW and Tinfin are wall and ambient temperaturesrespectively If the thermal conductivity of the fluid is k and the wall heat flux is q the NusseltnumberkLT TqNuW infin minus= is equal to(A) a (B) b (C) 2c (D) (b+2c)T1

q = 1times105 Wm2

T2

Tinfin = 25degCxx=0

ME01 (GATE 2014)GATE 2014 SET-1 MECHANICAL ndash MEME 910Q47 In an air-standard Otto cycle air is supplied at 01 MPa and 308 K The ratio of the specific heats(γ) and the specific gas constant (R) of air are 14 and 2888 JkgK respectively If the compressionratio is 8 and the maximum temperature in the cycle is 2660 K the heat (in kJkg) supplied to theengine is _______Q48 A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount ofheat from a reservoir at 800 K It rejects 1 kJ of heat to a reservoir at 400 K The net work output(in kJ) of the cycle is(A) 08 (B) 10 (C) 14 (D) 20Q49 An ideal reheat Rankine cycle operates between the pressure limits of 10 kPa and 8 MPa withreheat being done at 4 MPa The temperature of steam at the inlets of both turbines is 500degC andthe enthalpy of steam is 3185 kJkg at the exit of the high pressure turbine and 2247 kJkg at theexit of low pressure turbine The enthalpy of water at the exit from the pump is 191 kJkg Use the

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

following table for relevant dataSuperheated steam temperature(degC)Pressure(MPa)ν(m3kg)h(kJkg)s(kJkgK)500 4 008644 3446 70922500 8 004177 3399 67266Disregarding the pump work the cycle efficiency (in percentage) is _______Q50 Jobs arrive at a facility at an average rate of 5 in an 8 hour shift The arrival of the jobs followsPoisson distribution The average service time of a job on the facility is 40 minutes The servicetime follows exponential distribution Idle time (in hours) at the facility per shift will be(A)57(B)143(C)75(D)103Q51 A metal rod of initial length L0 is subjected to a drawing process The length of the rod at anyinstant is given by the expression ( ) (1 2 )0 L t = L + t where t is the time in minutes The true strainrate (in minminus1) at the end of one minute is _______Q52 During pure orthogonal turning operation of a hollow cylindrical pipe it is found that the thicknessof the chip produced is 05 mm The feed given to the zero degree rake angle tool is 02 mmrevThe shear strain produced during the operation is _______

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)

GATE 2014 SET-1 MECHANICAL ndash MEME 1010Q53 For the given assembly 25 H7g8 match Group A with Group BGroup A Group BP H I Shaft TypeQ IT8 II Hole TypeR IT7 III Hole Tolerance GradeS g IV Shaft Tolerance Grade(A) P-I Q-III R-IV S-II (B) P-I Q-IV R-III S-II(C) P-II Q-III R-IV S-I (D) P-II Q-IV R-III S-IQ54 If the Taylorrsquos tool life exponent n is 02 and the tool changing time is 15 min then the tool life(in min) for maximum production rate is _______Q55 An aluminium alloy (density 2600 kgm3) casting is to be produced A cylindrical hole of 100 mmdiameter and 100 mm length is made in the casting using sand core (density 1600 kgm3) The netbuoyancy force (in newton) acting on the core is _______END OF THE QUESTION PAPER

ME01 (GATE 2014)