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  • 8/13/2019 Coexmetest 2012-16-4thsem

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    MEGHNAD SAHA INSTITUTE OF TECHNOLOGY

    Department of Mechanical Engineering

    ONLINE TEST PROGRAMME-2014

    COEXMETEST/2012-16/01

    Sl.No

    QUESTIONS A

    A THERMAL ENGINEERING

    1 For a hyperbolic process between the states 1 and 2, the heat interaction can be given as,

    ( ) ( ) ( )121

    211212 d) lnc) 0 b) 1

    ) T T cqV V

    RT T T cqqT T nn

    cqa pvv =

    +==

    =

    2 The work done by 2m 3 of air at 5N/m 2 while getting expanded freely to 10 m 3 shall be, (a) 40 J (b) 10 J (c) 50 J (d) NOTA

    3 For the expansion of air occurring between volume state V 1 and V 2 the adiabatic process andisothermal process lines shall be as under, (a) A : adiabatic, B : isothermal

    (b) A : isothermal, B : adiabatic (c) Any one may refer to any of process (d) None of these

    4 C.O.P. of a reversible heat pump is 1.2. If it is reversed to run as reversible heat engine then itsefficiency shall be: (a) 0.833 (b) 0.2 (c) 1.2 (d) NOTA

    5 Which of the following is/are correct?(a) Entropy is used as a convenient coordinate in thermodynamics.(b) Entropy is used to decide whether a process is reversible, irreversible or impossible.(c) Entropy is used to determine the heat transfer in reversible process(d) AOTA.

    6 In a non-flow reversible process for which p = (-3V+15) x 10 5 N/m2, V changes from 1 m 3 to 2 m 3. Thework done will be about

    a) 10x10 5 KJ b) 10x10 5 joules c) 1x10 5 KJ d) NOTA

    7 The more effective way of increasing efficiency of Carnot Engine is toa) increase higher temperature b) decrease higher temperaturec) increase lower temperature d) decrease lower temperature

    8 The work given out during expansion process in a closed system will increase when the value of n(polytropic index)

    a) increases b) decreases c) remains same d) no relation

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    9 A Carnot engine operates between temperatures of 900K and T and another engine between T and400K. For both to be equally efficient, value of T will be

    a) 600 0C b) 650K c) 600K d) NOTA10 A closed gaseous system undergoes a reversible process during which 200kcal are rejected, the

    volume changing from 4m 3 to 2m 3 and the pressure remaining constant at 4.27kg/cm 2. The change ininternal energy will be

    a) +400kcal b) 0 kcal c) -4.3 kcal d) 5 kcal11 Entropy of wet steam (1 kg) is given by

    a)

    ++++

    se ps f

    s

    fg f

    s

    fg g

    s

    fg f T

    T c sT h s

    T xh s

    T xh s suplogd) c) b)

    12 Air is accelerated in a nozzle from velocity 40m/s to 180m/s. Density of air changes from 2.21kg/m 3 to0.762 kg/m 3. If the inlet area is 90cm 2, the exit area of the nozzle will be

    a) 18cm 2 b) 85cm 2 c) 98cm 2 d) 58cm 2

    13 The power output and fuel consumption rate of a power plant are 150MW and 60 ton/h. Fuel is coalhaving heating value of 30000 kJ/kg. The thermal efficiency of the cycle is

    a) 33% b) 42% c) 30% d) NOTA

    14 A rigid tank contains an ideal gas that is being stirred by a paddle wheel. The temperature of the gasremains constant at 40 0C as a result of heat transfer out. If the stirring work is 200kJ and outsidetemperature is 30 0C, the entropy change of the gas is

    a) 5kJ/kg K b) 20kJ/kg 0C c) 5 kJ/kg 0C d) NOTA15 In a four stroke diesel engine operating at 1200 rpm, the duration of fuel injection is 20 0 of crank shaft

    rotation. The time in seconds during which fuel is injected would be

    a) 1/360sec b) 1/720sec c) 1/180 sec d) 1/1440sec

    16 Humidity ratio can be given in terms of partial pressures of dry air ( pa) and water vapour ( pv ) as,

    B ENGINEERING MECHANICS

    17

    When trying to turn a key into a lock, following is applied

    a) Coplanar force b) lever c) moment d) couple

    18

    Which of the following do not have identical dimensions?

    a) momentum and impulse b) torque and energy c)kinetic energy and potential energyd) moment of a force and angular momentum

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    19

    If two equal forces of magnitude P act at an angle 0, their resultant will be

    a) P/2cos /2 b) 2P sin /2 c) 2P tan /2 d) 2P cos /2 e)P sin/2

    20

    Which of the following is a vector quantity

    a) Energy b) mass c) momentum d) angle e) speed

    21

    The magnitude of two forces, which when acting at right angle produce resultant force of 10kg andwhen acting at 60 0 produce resultant of 13 kg. These force are

    a) 2 and 6 b) 3 and 1 c) 5 and 5 d) 2 and 5 e) none of these

    22

    According to principle of transmissibility of forces, the effect of a force upon a body is

    a) Maximum when it acts at the center of gravity of a body

    b) Different at different points in its line of action

    c) The same at every point in its line of action

    d) Minimum when it acts at the C.G. of the body

    e) None of the above

    23

    According to Lamis theorem

    a) Three forces acting at a point will be in equilibrium

    b) Three forces acting at a point can be represented by a triangle, each side being proportional

    to force

    c) If three forces acting upon a particle are represented in magnitude and direction by the sides

    of a triangle, taken in order, they will be in equilibrium

    d) If three forces acting at a point are in equilibrium, each force is proportional to the sine of the

    angle between the other two

    24

    D Alemberts principle is used for

    a) Reducing the problem of kinetics to equivalent statics problem

    b) Determining the stresses in the truss

    c) Stability of floating bodies

    d) Designing safe structures

    25

    The units of moment of inertia of an area are

    a) Kg-m 2 b) m 4 c) m 3 d)Kg/m 4

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    26

    Angle of friction is the

    a) Angle between normal reaction and the resultant of normal reaction and the limiting friction

    b) Ratio of limiting friction and normal reaction

    c) The ratio of minimum friction force to the friction force acting when the body is just about to

    move

    d) The ratio of minimum friction force to the friction force acting when the body is in motion

    e) Ratio of static and dynamic friction.

    27

    M.I of a circular area about an axis perpendicular to the area is

    a) Mr 2 b) r 4/2 c) 2Mr 2/5 d) 2Mr 2/3 e) Mr 2/2

    28

    A force acting on a body may

    a) Induce internal stresses. b) Balance the other forces acting on it. c)retard its motion

    d) change is motion e) AOTA

    29

    Which of the following is not he unit of power?

    a) KW b) hp c)Kcal/sec d)Kcal/Kg sec e)Kg m/sec

    30

    Center of percussion is

    a) the point of C.G. b) the point of metacenter c)the point of application of the

    resultant of all the forces tending to cause a body to rotate about a certain axis d)point of

    suspension e)the point in a body about which it can rotate horizontally and oscillate under

    the influence of gravity

    31

    The ratio of limiting friction and normal reaction is known as

    a) frictional resistance b)sliding friction c) angle of friction d) angle ofrepose e)coefficient of friction

    32

    The escape velocity from the surface of the earth is approximately equal

    a) 9.81 km/sec b) 11.2k/sec c)14 km/sec d)22 km/sec e) NOTA

    C STRENGTH OF MATERIALS

    33The section modulus of a circular section about an axis through its c.g. is

    a) d 3/16 b) d 3/32 c) d 3/64 d) d 2/32 e) d 3/8

    34

    Compare the strengths of solid and hollow shafts both having outside diameter D and hollow shaft

    having inside diameter of D/2 in torsion. The ratio of strength of solid to hollow shafts in torsion will be

    a) 0.5 b) 0.75 c) 16/15 d) 0.25 e) 1/16

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    35

    Youngs modulus is the defined as the ratio of

    a) Volumetric stress and volumetric strain.

    b) Lateral stress and lateral strain.

    c) Longitudinal stress and longitudinal strain.

    d) Shear stress to shear strain.

    e) Longitudinal stress and lateral strain.

    36

    A cantilever beam is deflected by due to load W. If the load is doubled then deflection compared to

    earlier case will be changed by a factor of

    a)8 b) 4 c) 2 d)1/8 e)1/2

    37

    The materials having same elastic properties in all the directions are called

    a) Ideal materials.

    b) Uniform materials.

    c) Isotropic materials.

    d) Practical materials.

    e) Elastic materials.

    38

    Modulus of rigidity is defined as the ratio of

    a) Longitudinal stress and longitudinal strain.

    b) Volumetric stress and volumetric strain.

    c) Lateral stress and lateral strain.

    d) Shear stress and shear strain.

    e) Linear stress and lateral strain.

    39

    If the radius of the wire stretched by a load is doubled, then its Youngs modulus will be

    a) doubled. b) halved. c) becomes four times. d) become one-fourth e) remain

    unaffected.

    40

    The elongation produced in a tapered shaft with end diameters d 1 and d 2 due to tensile or

    compressive axial load is proportional to

    a) (d 1 + d 2) b)1/ (d 1 + d 2) c) d 1d2 d) 1/d 1d2 e) 1/ d 1d2

    41The property by virtue of which a body returns to its original shape after removal of the load is called

    a)plasticity b) elasticity c) ductility d) malleability e)resilience

    42The equivalent length of a column supported firmly at one end and free at other end is

    a) 2 l b) 0.7 l c) l d) 0. 5l e) none of these

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    43

    Two cantilever beams are of equal length. One carries a uniformly distributed load and other carries

    same load but concentrated at the free end. The ratio of maximum deflections is

    a)2/3 b)3/8 c)1/2 d)1/3 e)5/12

    44

    The buckling load for a given material depends on

    a) slenderness ratio and area of cross-section.

    b) Poissons ratio and modulus of elasticity.

    c) slenderness ratio and modulus of elasticity.

    d) slenderness ratio, area of cross-section and modulus of elasticity.

    e) Poissons ratio and slenderness ratio.

    45

    The ratio of lateral strain to the linear strain within elastic limit is known as

    a) Young modulus.

    b) bulk modulus.

    c) modulus of rigidity.

    d) modulus of elasticity.

    e) Poissons ratio.

    46

    Which one of the following statements for a shaft is false?

    Shear stress intensity at a point is

    a) directly proportional to the distance from the axis

    b) inversely proportional to the distance from the axis

    c) inversely proportional to the polar moment of inertia

    d) directly proportional to the applied torque

    e) none of the above

    47

    In a tensile testing experiment on a specimen of 1cm 2 area, the maximum load observed was 5

    tonnes and neck area 0.5 cm 2. The ultimate tensile strength of specimen is

    a) 5 tonnes/cm 2 b) 10 tonnes/cm 2 c) 2.5 tonnes/cm 2 d)20tonnes/cm 2 e)

    none of these

    48

    Maximum deflection in case of a cantilever beam carrying uniformly distributed load w per unit length

    will be

    a) Wl 4 /EI b) Wl 4 /8EI c) Wl 4 /4EI d) 5Wl 4 /64EI e) 5Wl 4 /384EI

    D ENGINEERING MATERIALS

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    49a. Silicon b. Germanium c. Aliminium d. Zinc

    50 a. Ferrite & Cementite b. Cementite & Bainite c. . Ferrite & Ledeburite d.Bainite & Troosite

    51 a) Make it tough b. Make it hard & tough c. . Machineable d.None of these

    52Hardness of eutectoid martensite is nearly

    a. RC52 b) RC 58 c) RC65 d) RC92

    53Major constituence of stellite are

    a. Co, Cr, W b) Zn, Pb, Cu c) Ni, Cu, Sn d) None of these

    54Pyrometer works based on

    a. Laser technology b) Photo-conduction c) Thermal emission d)Tyndall effect

    55This form of corrosion occurs due to concentration difference in a component

    a. Uniform b) Galvanic c) Inter-granular d) Stress

    56Kevlar is commercial name for

    a. Glass fibers b) Carbon fibers c) Aramid fibers d) Cermets

    57In white cast irons, carbon present as

    a. Graphite flakes b) Graphite nodules c) Cementite d) Carbon does not exist

    58Which of the followings is not an important heat treatment process parameter

    a. Heating rate b) Temperature c) Cooling rate d) All are important

    59Fracture stress ( f ) is proportional to

    a. crack length b) 1/crack length c) (crack length) 1/2 d) (crack length) -1/2

    60

    Fine grain size, usually, cannot be obtained during the following process

    a. Slow cooling b) increasing nucleation rate c) retarding grain growth d) fast

    cooling

    61Phase formed of diffusion-less reaction:

    a. Pearlite b) Lower Bainite c) Upper bainite d) Martensite

    62 A solid phase results in a solid plus another solid phase up on cooling during __________ reaction

    a. Eutectoid b) Peritectoid c) Eutectic d) Peritectic

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    63

    Change in elastic modulus for ordinary materials between 0K and melting point is

    a. 10-20% increase b) 10-20% decrease c) 80-90% decrease d) 80-90% increase

    64

    Which one is the correct statement

    a. Malleable CI is obtained by annealing grey CI for long time

    b. Malleable CI can be rolled into thin sheets

    c. Grey CI used for machine beds

    d. Grey CI is widely used for low hardness

    E ENGINEERING MATHEMATICS

    65

    Match each differential equation in Group-I to its family of solution curves from Group-II.

    Group-I Group-II

    P. x y

    dxdy =

    1. Straight lines

    Q. x y

    dxdy =

    2. Hyperbolas

    S. y x

    dxdy =

    3. Circles

    R. y x

    dxdy =

    (A) P-1,Q-2, R-3, S-3 (B) P-1, Q-3, S-3, S-2 (C) P-2, Q-2, S-3, R-2 (D) P-1, Q-2, R-2, S-3

    66

    A function

    ( ) x satisfied the differential equation

    ( ) ( ) 0222

    = L

    xdx

    xd , where

    L

    is a constant. If

    ( ) x satisfy the following boundary conditions: ( ) ( ) 0and0 == x K then the solution of thedifferential equation is

    (A) ( ) ( ) L x K x /exp= (B) ( ) ( ) L x K x /exp =

    (C) ( ) ( ) L x K x /exp2 = (D) ( ) L x K x /exp =

    67

    If x y xe

    1

    = , then y

    has a

    (A) maximum at e x = (B) minimum at e x =

    (C) maximum at1= e x (D) minimum at 1= e x

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    68

    A set of concentric circles of integer radii 1,2,,N is shown in the figure bellow. An ant starts at point

    1 A , goes round the first circle, returns to 1 A , moves to 2 A , goes round the second circle, returns to

    2 A , moves to 3 A and repeats this until it reaches to N A . The distance covered by the ant is

    (A) )1( + N N (B) N N +2 (C) 1)1( ++ N N N (D) 1)1( + N N N

    69Let

    ( )==

    0if 1

    0if sin

    x

    x x x x f

    Then

    f

    is

    (A) discontinuous (B) continuous but not differentiable

    (C) differentiable only once (D) differentiable more than once

    70

    Consider a closed surface S surrounding volume V. If r is the position vector of a point inside S, withn

    the outward drawn unit normal vector on S, the value of the integral

    S

    dS nr 5

    is(A) 3V (B) 5V (C) 10V (D) 15V

    71If

    ( )[ ] ( )74

    12)( 2 ++

    +== s s

    st f L s F

    then the initial and final values of( )t f

    are respectively

    (A) 0,2 (B) 2,0 (C) 0,2/7 (D) 2/7,0

    72

    With initial condition

    5.0)1( = x, the solution of the differential equation,

    t xdt dx

    t =+is

    (A) 21= t x

    (B) 212 = t x

    (C) 2

    2t x =

    (D) 2t

    x =

    73

    Given, the Laplace transform of

    ( )t tf is ( )22 1

    12

    +++

    s s

    s

    . The Laplace transform of

    ( )t f is

    (A) ( )12 ++ s s s

    (B) ( )12 ++ s s s

    (C) ( )112

    2 +++ s s

    s

    (D) ( )11

    2 ++ s s

    A N

    A 2

    A 1

    A 3

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    74

    Given that

    =02

    35 A

    and=

    10

    01 I

    , the value of

    3 A

    is

    (A) I A 1215 + (B) I A 3019 + (C) I A 1517 + (D) I A 2117 +

    75

    The maximum value of ( ) 5249 23 ++= x x x x f in the interval [ ]6,1 is(A) 21 (B) 25 (C) 41 (D) 46

    76

    Let A be annm

    matrix B be anmn

    matrix. It is given that determinant ( ) AB I m + = determinant( ) BA I n + , where k I is the k k identity matrix. Using the above property, the determinant of the givenmatrix is

    2111

    1211

    1121

    1112

    (A) 2 (B) 5 (C) 8 (D) 16

    77

    The outward drawn unit normal vector to the surface of the sphere 1222 =++ z y x at the point

    0,2

    1,

    2

    1

    is

    (A)

    k

    (B)

    ji 2

    12

    1 (C)

    ji 2

    12

    1 + (D)

    k ji 3

    13

    13

    1 ++

    78

    Choose the correct set of functions, which are linearly dependent.

    (A) x x x22 cosandsin,sin (B) x x x

    22 cosandsin,2cos

    (C) x x x tanandsin,cos (D) x x x cosandsin,2cos

    79If

    =

    010

    101

    001

    A

    , then

    50 A

    is

    (A) 1050

    0150

    001

    (B) 1048

    0148

    001

    (C) 1025

    0125

    001

    (D) 1024

    0124

    001

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    80

    For the matrix=

    31

    35 A

    , one of the normalized Eigen vectors is given as

    (A)

    23

    21

    (B)

    21

    21

    (C)

    5

    25

    1

    (D)

    10

    110

    3

    F LOGICAL REASONING

    81

    Which one will replace the question mark?

    a. 25 b) 37 c) 41 d) 47

    82

    1. Which one will replace the question mark ?

    a. 6

    b. 7

    c. 8

    d. 9

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    85

    Two positions of a dice are shown below. Which number will appear on the face opposite to the face

    with the number 5?

    a. 2

    b. 6

    c. 4

    d. 2 or 6

    86

    How many points will be on the face opposite to the face which contains 3 points?

    a. 2

    b. 4

    c. 5

    d. 6

    87

    1. Eleven students A, B, C, D, E, F, G, H, I, J and K are sitting in first line facing to the teacher.

    2. D who is just to the left of F, is to the right of C at second place.

    3. A is second to the right of E who is at one end.4. J is the nearest neighbour of A and B and is to the left of G at third place.

    5. H is next to D to the right and is at the third place to the right of I.

    Who is just in the middle ?

    a. B b) C c) G d) I

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    88

    A man walks 2 km towards North. Then he turns to East and walks 10 km. After this he turns to North

    and walks 3 km. Again he turns towards East and walks 2 km. How far is he from the starting point?

    a. 10km b) 13km c) 15km d) None of these

    89

    Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother."

    How X is related to the person of photograph?

    a. Daughter b) Son c) Nephew d) None of these

    90

    Here are some words translated from an artificial language. plekapaki means fruitcake. pakishillen

    means cakewalk. treftalan means buttercup. Which word could mean "cupcake"?

    a. Shillenalan b) treftpleka c) pakitreft d) alanpaki

    G GENERAL ENGLISH

    91Spot the error in the following sentence:

    (a) The train/ (b) left the station/ (c) when we reached/ (d) the station.

    92

    Choose the appropriate preposition:

    A good judge never jumps _________ the conclusion.

    (a) to (b) for (c) at (d) on

    93

    Choose an idiom to replace the expression in the brackets:

    The boy has been (anxious) all day because he is waiting for his exam results.

    a) On edge b) on the brink c) off his rocker d) out of the woods

    94

    Pick-up the correct order for the followings to form a meaningful sentence:

    P: In fact, never choose an activity just because it is good for you.

    Q: By all means work up a good sweat and even a thirst perhaps.

    R: If you can, combine this with enjoyment, then so much' the better.

    S: You will soon get bored of it.

    a) PRSQ b) PSRQ c) QRPS d) RPSQ

    95Pick the correct synonym for the following:Transitory

    a) Short-lived b) idle c) unexpected d) clear

    H CURRENT AFFAIRS

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    96

    Who of the followings is appointed as Executive Chairman of Infosys, Indias second largest software

    exporter?

    a) K.R. Narayanan b) Raghuram Rajan c) Montek Singh Ahluwalia d) N.R.

    Narayana Murthy

    97Whose new book, My Journey: Transforming Dreams into Actions has been released recently?

    a) Jhumpa Lahiri b) A P J Abdul Kalam c) Arvind Kejriwal d) Riki Ponting

    98Who has been recently appointed as first women chairman of State Bank of India?

    a) Arundhati Bhattacharya b) Anjum Nayar c) Meera Kumar d) Arifa Ibrahim

    99Which Indian Badminton player faces life ban over Indian Badminton League row?

    a) Saina Nehal b) Jwala Gutta c) P V Sindhu d) Ashiwini Ponnappa

    100

    Who has been elected as the new President of Pakistan?

    a) Mamnoon Hussain b) Hussain Muhammad Ershad c) Abdul Hamid d) Sayed

    Ashraful Islam

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