vardhaman college of engineering...ob) construct a regular hexagon having side 35mm having one side...

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Hall Ticket No: Question Paper Code : A3302 VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS) B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15) ENGINEERING DRAWING-I (Common to Mechanical Engineering & Civil Engineering) Date: 17 May, 2016 Time: 3 hours Max Marks: 75 Answer ONE question from each Unit All Questions Carry Equal Marks Unit - I 1. a) Construct a forward vernier scale to give reading of 1/10th of a mm up to 100mm and mark off on it the following: i. 81.3mm ii. 20.9mm Select a scale 1.5:1. 10M b) Construct a regular hexagon having side 35mm having one side inclined at 30 o to HP. 5M 2. The distance between two points on a map is shown by a line 35cm long. But the points are actually 1750mile apart. Construct diagonal corresponding scales of mile and kilometer, to read up to a minimum of single mile and kilometer. Mark on the scale a length of 745mile and find the corresponding length in kilometer using the scale 1 mile=1.6kilometer. 15M Unit - II 3. a) Inscribe an Ellipse in a rectangle of 120mmx80mm. 7M b) Draw an involute of a Pentagon of sides 25mm. 8M 4. a) Construct a parabola given that the distance of focus from the directrix is 50mm. 7M b) Draw the Cycloid of a circle of diameter 40 mm for one complete revolution. 8M Unit - III 5. The projections of a line measuring 80mm in the top view and 70mm in the front view. The midpoint of the line is 45mm in front of VP and 35 mm above HP. One end is 10mm in front of VP and nearer to it. The other end is nearer to HP. Draw the projections of the line, find the true length and true inclinations. 15M 6. a) A line AB has its ends A and B, 45mm and 20mm infront of the VP respectively. The end projectors of the line AB when measured parallel to the line of intersection of HP and VP are 50mm apart. The HT (horizontal trace) of the line is 10mm infront of VP. The line AB is inclined at 35 0 to the HP. Draw the projections of the line AB and locate the VT (vertical trace). Find the distance of the VT of the line from the HP and the inclination of the line with the VP. 10M b) The difference between the distances of the top and front views of a point lying above XY line is 25mm. The top view itself is 60mm above XY line. Draw the top and front views of the point and state the quadrant in which the point lies. 5M Unit - IV 7. A pentagonal lamina of sides 25mm is resting on one of its edges on HP such that the surface of the lamina is inclined at 60 deg. to it. The edge on which the lamina rests is also inclined at 45 0 to VP. Draw the Projections of the lamina. 15M Cont…2

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Page 1: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3302

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

ENGINEERING DRAWING-I (Common to Mechanical Engineering & Civil Engineering)

Date: 17 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit - I 1. a) Construct a forward vernier scale to give reading of 1/10th of a mm up to 100mm and

mark off on it the following: i. 81.3mm ii. 20.9mm Select a scale 1.5:1.

10M

b) Construct a regular hexagon having side 35mm having one side inclined at 30o to HP.

5M

2. The distance between two points on a map is shown by a line 35cm long. But the points are actually 1750mile apart. Construct diagonal corresponding scales of mile and kilometer, to read up to a minimum of single mile and kilometer. Mark on the scale a length of 745mile and find the corresponding length in kilometer using the scale 1 mile=1.6kilometer.

15M

Unit - II 3. a) Inscribe an Ellipse in a rectangle of 120mmx80mm. 7M b) Draw an involute of a Pentagon of sides 25mm.

8M

4. a) Construct a parabola given that the distance of focus from the directrix is 50mm. 7M b) Draw the Cycloid of a circle of diameter 40 mm for one complete revolution.

8M

Unit - III 5. The projections of a line measuring 80mm in the top view and 70mm in the front view. The

midpoint of the line is 45mm in front of VP and 35 mm above HP. One end is 10mm in front of VP and nearer to it. The other end is nearer to HP. Draw the projections of the line, find the true length and true inclinations.

15M

6. a) A line AB has its ends A and B, 45mm and 20mm infront of the VP respectively. The end projectors of the line AB when measured parallel to the line of intersection of HP and VP are 50mm apart. The HT (horizontal trace) of the line is 10mm infront of VP. The line AB is inclined at 350 to the HP. Draw the projections of the line AB and locate the VT (vertical trace). Find the distance of the VT of the line from the HP and the inclination of the line with the VP.

10M

b) The difference between the distances of the top and front views of a point lying above XY line is 25mm. The top view itself is 60mm above XY line. Draw the top and front views of the point and state the quadrant in which the point lies.

5M

Unit - IV 7. A pentagonal lamina of sides 25mm is resting on one of its edges on HP such that the surface

of the lamina is inclined at 60 deg. to it. The edge on which the lamina rests is also inclined at 450 to VP. Draw the Projections of the lamina.

15M

Cont…2

Page 2: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

::2::

8. A circular lamina of 60mm dia. rests on VP such that one of its diameter(line) is inclined at

450 to VP and the diameter(line) at right angle to the diameter (line) passing through the point on which the lamina rests is parallel to HP. Draw its Projections.

15M

Unit - V 9. Draw the top and front view of a right circular cylinder of base 45mm diameter and 60mm

long when it lies on HP, such that its axis is inclined at 30o to HP and the axis appears to be perpendicular to the VP in the top view.

15M

10. A cone of base 80mm diameter and height 100mm is lying with one of its generator on HP and the axis appears to be inclined to VP at an angle of 40o in the top view. Draw its top and front views.

15M

Page 3: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3001

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

MATHEMATICS-I (Common for All Branches)

Date: 19 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

UNIT – I

1. a) Solve 2 2 2 21 1 0  x y xy y dx x y xy x dy 7M

b) Find the orthogonal trajectories of cosn nr a n

8M

2. a) Solve 2 2 2 32 2 0x y xy dx yx x dy 7M

b) If number N of bacteria in a culture grew at a rate proportional to N. The value of N was initially 100 and increased to 332 in 1 hour. What is the value of N after 1.5 hours?

8M

Unit – II

3.

a) Solve 3 2 4 4 xD D D y e

8M

b) In case of a stretched elastic horizontal string which has one end fixed and a particle of mass m attached to the other, find the equation of motion of the particle given that ℓ is the natural length of the string and e is its elongation due to weight mg. Also find the displacement s of a particle when initially s = 0, v = 0.

7M

4.

a) Solve 2 24 4 8 sin 2D D y x x

8M

b) Solve 2''1 xy y

e

by the method of variation of parameters.

7M

UNIT – III

5. a) Verify the Cauchy’s mean value theorem for ( )f x and '( )f x , where ( ) logef x x in 1 e 7M b) Verify that 1 1JJ , given cos and y sin .u ux e v e v

8M

6. a) If x, y and z are the angles of a triangle then find the stationary points and the maximum value of cos cos cos .x y z

7M

b) Evaluate2 2( )

0 0

x ye dxdy

by changing in to polar coordinates.

8M

Unit – IV

7. a) Find the Laplace transform of sin cos 1te t t 8M

b) Represent 422sin tinttf and 0 otherwise in terms of unit step function and hence find its Laplace transform

7M

8.

a) Find the Laplace transform of the periodic function

20

0sin)(

tif

tifttf

7M

b) Evaluate

t t

dtt

tetL0

sin

8M

Cont…2

Page 4: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

:: 2 ::

Unit – V

9.

a) Find the direction derivative of xzzyyx 222 5.255 at (1,1,1) in the direction of

the line .23

21 zyx

8M

b) Using Green’s theorem evaluate c

dyxdxxy cossin where C is the plane triangle

enclosed by the lines y=0, x=2

and y=x2

.

7M

10.

a) Show that 22 1 nn rnnr

8M

b) Find the work done in moving a particle in the force field zkjyxzixf )2(3 2

along the curve zxyx 83,4 32 from x=0 to 2.

7M

Page 5: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3002

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

ENGINEERING PHYSICS (Common to Electronics and Communication Engineering,

Mechanical Engineering & Civil Engineering) Date: 21 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. a) Deduce an expression for interplanar spacing in terms of Miller Indices. Mention the significance of Miller indices.

7M

b) An x-ray diffraction analysis of a crystal is made with x-rays having wavelength of 0.58Å. Reflections are observed at angles: i. 6.45° ii. 9.15° iii. 13° What interplanar spacings are present in the crystal?

8M

2. a) Briefly explain powder crystal method to determine the interplanar spacing of the crystal.

7M

b) Show that percentage of void in FCC is less than BCC.

8M

Unit – II

3. a) What are matter waves? Explain Davisson and Germer experiment with suitable diagram. 9M b) A particle of mass 1.67x10-27kg is confined to the 2nd excited state in a one dimensional

potential well of infinite height and width L=0.1nm. Calculate its energy and momentum.

6M

4. a) Define Fermi level. Explain the variation of Fermi level in case of Intrinsic and Extrinsic semiconductors.

9M

b) What is meant by recombination radiation? Identify the colour of recombination radiation for an energy difference of 3.62x10-19 J.

6M

Unit – III

5. a) What are Nano materials? Mention any four applications of Nano materials. Why the properties of materials change at Nano scale?

6M

b) List the different types of polarizations in dielectric materials and explain them briefly.

9M

6. a) State the principle behind physical vapour deposition. Explain physical vapour deposition and mention its advantages.

8M

b) Derive an expression for internal field in dielectric solids.

7M

Unit – IV

7. a) Define and explain the variation of remanant field and cohercive field in case of ferromagnetic materials based on Weiss domain theory. Explain the situation of domain wall in case of paramagnetic materials.

10M

b) Explain with example why certain magnets are called as permanent magnets.

5M

8. a) What are the characteristic features of Type I and Type II superconductors? Discuss in detail the applications of superconductors.

10M

b) What are Cooper pairs? Explain in detail Meissner effect. 5M

Cont…2

:: 2 ::

Page 6: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Unit – V

9. a) Derive an expression for numerical aperture in terms of refractive indices of core and cladding and hence obtain the condition for propagation of light.

7M

b) Explain spontaneous emission and stimulated emission. Two energy levels are separated by 1.6eV. Calculate the ratio of rate of stimulated to spontaneous emission at 400K.

8M

10. a) With neat diagram, explain the construction and working of Ruby Laser. 7M b) What is attenuation? Derive an expression for attenuation coefficient. The refractive

indices of core and cladding are 1.5 and 1.47 respectively in an optical fiber. Find the angle of acceptance.

8M

Page 7: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3005

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

TECHNICAL ENGLISH (Common to Computer Science and Engineering, Information Technology &

Electrical and Electronics Engineering) Date: 21 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit - I 1. a) In the lesson, ‘Heaven’s gate’, how does the author juxtapose the young people of town

and the people in rural areas? Write briefly. 10M

b) Do as directed: i. Write the antonym of the word: Tolerance ii. Write the synonym of the word: Meagre iii. Write one word substitute: Murdering a king iv. Use the idiom in your own sentence: Let the cat out of the bag v. Where are the children’s park? (Correct and rewrite the sentence)

5M

2. a) Describe how Mother Teresa began her charity work and what objectives did she have to begin her work?

10M

b) Do as directed: i. Write the antonym of the word: Inspire ii. Write the synonym of the word: Obstruct iii. Use the phrasal verb in your own sentence: Call on iv. Give one word substitute : Non-believer of God v. The artist and the player is present at the function. (Correct the error and rewrite

the sentence)

5M

Unit - II 3. a) The story of Miss.Krishna is titled, “The Connoisseur”. Discuss briefly how it suits the

theme. 10M

b) Do as directed: i. Frame a sentence with the phrase: Give up ii. Fill in the blank with article: It is ________ one man’s committee iii. Add prefix to complete the sentence: Discipline iv. Use the idiom in your sentence: Cock and bull stories v. I buy _______ is this stop (Stationery, Stationary)

5M

4. a) What does Sam Pitroda’s write about ‘Higher education and knowledge’ and its importance in the present context?

10M

b) Do as directed: i. Write the synonym for the word: Acknowledge ii. Write the autonym for the word: Discipline iii. My brother is _________ university professor (Fill in the blank with suitable article) iv. Why does she comes late everyday? (Identify the error and rewrite it) v. I buy _______ is this stop (Stationery, Stationary)

5M

Cont…2

Page 8: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

::2::

Unit - III

5. a) Briefly summarise the differences in Indian context and in the context of Hollywood pertaining to film making as Ray has chronicled.

10M

b) Do as directed: i. Frame a sentence with the phrase: Call for ii. Use the idiom in your sentences: Eleventh hour iii. Write the autonym for the word: Popular iv. Write the synonym for the word: Compassion v. Punctuate the sentence: I don’t understand why students fail in English

5M

6. a) How does Martin Luther King Jr. express his hope for a ‘Discrimination Free Nation’, in ‘I have a Dream’?

10M

b) Do as directed. i. Write the synonym for the word: Catastrophe ii. Write the autonym for the word: Competent iii. Identify the error and rewrite it: Why English does important in the present

context iv. Use the idiom in your sentence: Snake in the grass v. Use an appropriate preposition: There are many differences ________ living and

non-living beings. (between, among)

5M

Unit - IV 7. a) Briefly explain the reasons for the backwardness of Cuddalore. 8M b) Infosys foundation has invited application for the award merit scholarship for

meritorious students. You are a student of Ist year Engineering. Draft an application for merit scholarship. Give necessary details.

7M

8. a) Government engineering college, Hyderabad requires competent and dynamic lecturers to teach computer science. Experience in an added advantage. Draft an application giving your personal profile, education, experience and other details.

8M

b) Give one word substitute for the following: i. Fear of high places ii. The life story of a person written by himself iii. The life story of a person written by others iv. Study of Birds v. One looks at the dark side of life vi. People working together in the same office vii. A person who knows reading and writing

7M

Unit - V 9. a) How does Barack Obama propose to support development in Science and Technology? 8M b) What does Obama say about terrorism across the globe?

7M

10. You are The Principal, Government Science college. The minister for Higher Education has directed you to visit a few Science colleges in and around Hyderabad and submit a report on the status of admission to B.Sc. courses. Suggest a few measures to improve admissions to science streams in degree colleges.

15M

Page 9: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3003

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

ENGINEERING CHEMISTRY (Common to Electronics and Communication Engineering,

Mechanical Engineering & Civil Engineering) Date: 24 May, 2016 FN Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. a) What is a concentration cell? Give an example. Derive an expression for the emf of electrode and electrolyte concentration cell.

7M

b) Write the active materials used at anode, cathode and write the cell reactions for the following: i. Lead-acid battery ii. Ni-Cd battery iii. Lithium-MnO2 battery

8M

2. a) What is cathodic protection? Give an account on cathodic protection methods given to metals exposed to corrosion environment.

7M

b) For the cell, FeFe++(0.01M)Ag+ (0.1M)Ag, write the cell reaction and calculate the emf of the cell at 298K, if E0

Fe2+|Fe and E0

Ag+|Ag are -0.44V and 0.8V respectively.

8M

Unit – II

3. a) Describe desalination of water by reverse osmosis process. Mention its advantages 7M b) Explain the following:

i. Why do we express hardness of water in terms of CaCO3 equivalent? ii. Buffer is added during the determination of hardness of water using EDTA. iii. What happens when temporary hard water is boiled? (Give the reaction) iv. Why hard water fails to produce lather with soap solution.

8M

4. a) Explain cold-lime soda process of purification of water with a neat diagram and cell reactions.

7M

b) List the salts responsible for temporary hardness and permanent hardness. Mention the disadvantages of using hard water for domestic and industrial purpose.

8M

Unit – III

5. a) Distinguish between the thermoplastic resins and thermosetting resins. 8M b) What are lubricants? Mention the qualities of good lubricants.

7M

6. a) Give the synthesis and engineering applications of: i. Teflon ii. Buna-S rubber

8M

b) Discuss the characteristics of thermal insulators.

7M

Unit – IV

7. a) Explain how is the percentage of carbon, hydrogen and sulphur estimated by ultimate analysis of coal.

8M

b) Describe the synthesis of petrol by Fischer-Tropsch process.

7M

8. a) Give the relative merits and demerits of solid, liquid and gaseous fuels. 8M b) Explain the analysis of flue gas using Orsat’s apparatus. 7M

Cont…2

Page 10: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

:: 2 ::

Unit – V

9. a) Mention the assumptions of Langmuir theory of adsorption. Derive an expression for Langmuir adsorption isotherm.

8M

b) Write a short note on: i. Tyndal effect ii. Applications of colloids

7M

10. a) What is degree of freedom? With an example each, give a brief account on univariant, bivariant and invariant degrees of freedom.

8M

b) Draw the phase diagram for lead-silver system with labeling. Calculate the number of degrees of freedom in area, on a line, at eutectic point. Explain the salient features of the phase diagram.

7M

Page 11: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3004

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

PROBABILITY, THEORY AND NUMERICAL METHODS (Common to Computer Science and Engineering, Information Technology &

Electrical and Electronics Engineering) Date: 24 May, 2016 FN Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. a) In a race the odds in favour of the four horses H1, H2, H3, H4 are 1:4, 1:5, 1:6, and 1:7 respectively. Assuming that dead heat is not possible then find the chance that one of them wins the race.

7M

b) A committee consists of 9 students of which 2 are from I year, 3 are from II year and 4 from III year. Three students are to be selected at random. What is the probability that the: i. Three belong to different classes ii. Two belong to the same class and third to the different class iii Three belong to the same class

8M

2. a) The contents of three urns are one white, two red, three green balls; two white, one red, one green balls and four white, five red, three green balls. Two balls are drawn from an urn chosen at random. These are found to be one white and one green. Find the probability that the balls so drawn are from third urn.

7M

b) A and B alternately roll a pair of dice. The one who gets 9 first wins. Show that the chances of their winning are 9:8. Assume that A begins the game.

8M

Unit – II

3. a) Assume that 50% of all Engineering students are good at Mathematics. Determine the probability that among 18 engineering students: i. Exactly 10 ii. At least 10 iii. At most 8 iv. At least 2 v. At most 9 are good at Mathematics

8M

b) X is a continuous random variable with probability density function given by

644220

62

xinxinxin

kkxk

kxxf

Find k and expected value of x.

7M

4. a) Assume that the reduction of a person’s oxygen consumption during a period of meditation is a continuous random variable with mean 37.6 cc/mt and standard deviation 4.6 cc/mt. Determine the probability that during a period of mediation a person’s oxygen will be reduced by: i. At least 44.5 cc/mt ii. At most 35 cc/mt iii. Anywhere from 30 to 40 cc/mt

8M

b) The average number of phone calls per minute coming into a switch board between 2 and 4 PM is 2.5. Determine the probability that during one particular minute there will be: i. None ii. 4 or fewer iii. more than 6 calls

7M

Cont…2

Page 12: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

:: 2 ::

Unit – III

5. a) The bacteria concentration in a reservoir varies as tt eec 1.024 using Newton-Raphson method calculate the time required for the bacteria concentration to be 0.5. It is known that such concentration will reach around 4 units of time.

8M

b) Estimate the value of f(42) from the from the following data: x 20 25 30 35 40 45 f(x) 354 332 291 260 231 204

7M

6. a) Find a root of the equation 0943 xx using bisection method in four iterations. 7M b) Using Lagrange’s interpolation formula find f(3)for the data:

x 0 1 2 5 f(x) 2 3 12 147

8M

Unit – IV

7.

a) Evaluate

1

20

1

x dxx by using Simpson’s 1/3 rd rule taking six equal strips and hence

deduce the approximate value of log2.

7M

b) In a tensile test of a metal bar the following observations were made, where x is the load and y is the elongation in appropriate units

x 1 2 3 4 5 y 14 13 9 5 2

Using the method of least squares fit a straight line for the above data.

8M

8.

a) Using the trapezoidal rule, evaluate

1

0

xe dx by dividing the interval [0, 1] into 10 equal

parts. Compare with the exact result.

7M

b) Fit a parabola 2y a bx cx by the method of least squares to the following data: x -3 -2 -1 0 1 2 3 y 4.63 2.11 0.67 0.09 0.63 2.15 4.56

8M

Unit – V

9. a) Employing Taylor’s series method, find an approximate solution for the initial value

problem 2 3 , 0 0,xdy y e ydx

at x = 0.1

7M

b) Compute y at x = 0.4 by applying Admas-Bashforth method, given 2 ,dy x y

dx and the

data: x 0 0.1 0.2 0.3 y 1 1.1 1.231 1.402

8M

10.

a) Use modified Euler’s method to solve , 0 1,dy x y ydx

for 0.2 0.4,x by

taking h = 0.2.

7M

b) By Runge-Kutta fourth order method, solve the equation 3 2 , 0 1,dy x y ydx

for

y(0.2) taking step length h =0.2.

8M

Page 13: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3201

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

BASIC ELECTRICAL ENGINEERING (Common to Computer Science and Engineering, Information Technology,

Electronics and Communication Engineering & Electrical and Electronics Engineering) Date: 26 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit - I 1. a) For the circuit shown in Fig.1, Calculate source voltage and power delivered by the

source.

Fig.1

9M

b) Reduce the circuit shown in Fig.2 into a single equivalent current source.

Fig.2

6M

2. a) Calculate the current flowing in all the resistors for the circuit shown in Fig.3.

Fig.3

9M

b) Calculate the current ‘I’ in the circuit shown in Fig.4.

Fig.4

6M

Cont…2

Page 14: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

:: 2 ::

Unit – II

3. a) Obtain the expressions for star to delta and delta to star transformations. 7M b) Use nodal analysis method to find currents in the various resistance of the circuit shown

in fig.5.

Fig.5

8M

4. a) Define: i. Graph ii. Oriented graph iii. Tree iv. Link

8M

b) Draw the incidence matrix of the following graph.

Fig.6

7M

Unit – III

5. a) What is average value and RMS value of an alternating quantity? Derive its value for sinusoidal voltage.

7M

b) Prove that in a pure inductive circuit, if excited by sinusoidal excitation, currents lags voltage by 90. Draw the phasor diagram and waveforms of voltage and currents.

8M

6. a) An alternating current varying sinusoidally with a frequency of 50Hz has an RMS value of 20A. Write down the equation for the instantaneous value and find this value. 0.0025 seconds and 0.0125 seconds after passing through a positive maximum value. At what time, measured from a positive maximum value, will the instantaneous current be 14.14A?

7M

b) A pure resistance of 50 ohms is in series with a pure capacitance of 100 microfarads. This series combination is connected across 100V 50Hz supply. Find: i. The impedance ii. Current iii. Power factor iv. Phase angle

8M

Unit – IV

7. a) State and explain compensation theorem. 7M b) Obtain the Norton’s equivalent circuit shown in Fig.7.

Fig.7

8M

Cont…3

Page 15: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

:: 3 ::

8. a) In the circuit shown in Fig.8 find the load connected at AB for which the power transferred will be maximum. Also find maximum power.

Fig.8

9M

b) Obtain current through the load resistance using superposition theorem.

Fig.9

6M

Unit – V

9. a) Obtain expression for Y in terms of Z parameters. 8M b) Obtain Y parameters for the circuit shown in Fig.10.

Fig.10

7M

10. a) Obtain Z parameters in terms of ‘g’ parameters. 8M b) Obtain ABCD parameters for the circuit shown in Fig.11.

Fig.11

7M

Page 16: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3301

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

ENGINEERING MECHANICS-I (Common to Mechanical Engineering & Civil Engineering)

Date: 26 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit - I 1. a) Explain Parallelogram and Triangular law of forces with example. 7M b) The resultant of two forces P and Q is R. If Q is doubled, the new resultant is observed to

be perpendicular to P. Show that Q=R.

8M

2. a) Two cables are tied together at C and are loaded as shown in Fig.1. Determine the tension in cable AC & BC:

Fig.1

7M

b) Determine the tension in the string BC and the reaction at the hinged support D for the beam ABD shown in Fig.2 in equilibrium:

Fig.2

8M

Unit - II 3. a) Explain the vectorial representation of moments and couples with one example. 5M b) Determine the angle α for which the moment of the 500N forces shown in Fig.3 is

maximum about O. Also Find the maximum moment:

Fig.3

10M

Cont…2

::2::

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4. a) Describe Varignon’s Theorem. 5M b) Find the resultant of the force system acting on a body OABC as shown in Fig.4. Also find

the where the resultant will cut the X and Y axis:

Fig.4

10M

Unit - III 5. a) State the Coulomb’s law of dry friction. 5M b) Two blocks A and B having masses 50kg and 100kg respectively are connected by a string

which passes over frictionless pulley as shown in Fig.5 coefficient of friction between block and surface is 0.2 for both A and B. determine force P if: i. The system is prevented to move towards left ii. The system is just on the point of moving towards right

Fig.5

10M

6. Find the minimum horizontal force ‘P’ to be applied to block ‘A’ weighing 500N so as to keep block ‘B’ of 1500N in limiting condition of equilibrium for the Fig.6 shown below:

Fig.6

15M

Unit - IV 7. a) Find the first moment of area about x and y axes of a semicircular area symmetric about

Y axis. 5M

b) A uniform semicircular rod of weight W and radius r is attached to a pin at A and rests against a frictionless surface at B as shown in Fig.7. Determine the reactions at A and B:

Fig.7

10M

Cont…3

::3::

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8. Determine the position of centroid for the lamina with a circular cutout shown in Fig.8:

Fig.8

15M

Unit - V 9. Define and Explain the following:

i. Radius of Gyration ii. Perpendicular Axes Theorem iii. Parallel Axes Theorem

15M

10. A steel forging consists of a 150x50x50mm rectangular prism and two cylinders of diameter 50mm and length 75mm as shown in Fig.9. Determine the moments of inertia of the forging with respect to the coordinate axes knowing that the density of the steel is 7850 kg/m3:

Fig.9

15M

Page 19: VARDHAMAN COLLEGE OF ENGINEERING...ob) Construct a regular hexagon having side 35mm having one side inclined at 30 to HP. 5M 2. The distance between two points on a map is shown by

Hall Ticket No: Question Paper Code : A3501

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech I Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R15)

COMPUTER PROGRAMMING (Common for All Branches)

Date: 28 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit - I 1. a) Explain the structure of a C Program with an example. 7M b) Discuss the different data types supported by C language. Also list their memory

capacity.

8M

2. a) What are the console I/O functions available in C? Explain with an example. 6M b) Discuss the following operators with an example:

i. Relational operators ii. Logical operators iii. Increment and decrement operators

9M

Unit - II 3. a) Explain the switch statement with an example. 6M b) Write a C program to compute all the possible roots of a quadratic equation.

9M

4. a) Define an array. Give the syntax for 1D array and 2D array. Write a C program to add two matrices.

7M

b) Explain the following string functions with their syntax and an example: i. strcmp() ii. srcpy() iii. strrev() iv. strlen()

8M

Unit - III 5. a) Define recursion. Write a C program to find factorial of number using recursion. 6M b) Explain the following with an example each:

i. Function definition ii. Function call iii. Function declaration

9M

6. a) Write a C program using pointers to compute the sum of all elements stored in an array. 6M b) List out the dynamic memory allocation functions and explain any two with an example

each.

9M

Unit - IV 7. a) What is the need of array of structures? Write a C program to read and display

information [rollno, name, fees, DOB (date of birth)] of all students in a class. 10M

b) Write a C program to determine size of the structure.

5M

8. a) Illustrate the concept of union with example. 7M b) Explain the following:

i. Passing Structure to Function ii. Pointers to structure

8M

Cont…2

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::2::

Unit - V 9. a) Discuss the three methods of opening a binary file. 6M b) Explain the following functions with respect to a file:

i. rewind() ii. ftell() iii. fseek()

9M

10. a) Write a C Program to read the N students data having fields Rollno, Name,Branch,address from the console. Store these data into a text file.

10M

b) Explain the syntax of the following: i. fscanf() ii. fprintf()

5M