ENGINEERING DRAWING-I · 2018-12-10 · 2. a) Construct a vernier scale to read metres, decimetres and centimetres and long enough to measure upto 4m. The RF of the scale in 1/20

Hall Ticket No: Question Paper Code: A3302

(AUTONOMOUS) B. Tech I Semester Regular/Supplementary Examinations, December - 2017

(Regulations: VCE-R15)

ENGINEERING DRAWING-I

(Common to Mechanical Engineering & Civil Engineering)

Date: 18 December, 2017 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. a) Construct a plain scale of convenient length to measure a distance of 1cm and mark on it a distance of 0.94cm.

8M

b) An area of 144sq.cm on a map represents an area of 36sq.km on the field. Find the RF of the scale of the map and draw a diagonal scale to show Km, hectometers and decameters and to measure up to 10km. Indicate on the scale a distance 7km, 5hectometers and 6decametres.

7M

2. a) Construct a vernier scale to read metres, decimetres and centimetres and long enough to measure upto 4m. The RF of the scale in 1/20. Mark on it a distance of 2.28m.

8M

b) Construct a forward reading vernier scale to read distance correct to decameter on a map in which the actual distances are reduced in the ratio of 1:40,000. The scale should be long enough to measure up to 6km. Mark on the scale a length of 3.34km and 0.59km.

7M

Unit – II

3. A fountain jet is discharged water from the ground level at an inclination of 45°. The jet travels a horizontal distance of 10m from the point of discharge and falls on the ground. Trace the path of the jet.

15M

4. The foci of an ellipse are 90mm apart and the major axis is 120mm long. Draw the ellipse by using arcs method.

15M

Unit – III

5. A line AB measuring 70mm has its end A 15mm in front of VP and 20mm above HP and the other end B is 60mm in front of VP and 50mm above HP. Draw the projections of the line and find the inclinations of the line with both the reference planes of projections.

15M

6. A straight line PQ 65mm long is inclined at 450 to HP and 300 to VP. The point P is 70mm from both the reference planes and the point Q is towards the reference planes. Draw the projections.

15M

Unit – IV

7. A triangular plane figure of sides 25mm is resting on HP with one of its corners such that the surface the lamina makes an angle of 60° with HP. If the side opposite to the corner on which the lamina rests makes an Angle of 30° with VP, draw the top and front views in this position.

15M

8. A regular pentagonal lamina of 25mm side is resting on one of its sides on HP while the corner opposite to this side touches VP. If the lamina makes an angle of 60° with HP and 30° with VP, draw the projections of the lamina.

15M

Unit – V

9. A pentagonal pyramid with side of base 25mm and axis 50mm long is resting on one of its slant faces on H.P, such that its axis is parallel to V.P. Draw the projections.

15M

10. A hexagonal prism with a side of base 25mm and axis 60mm long is resting on one of its rectangular faces on H.P. Draw the projections of the prism when it is inclined at 45° to V.P.

15M

Hall Ticket No: Question Paper Code:

A3001



MATHEMATICS-I (Common for All Branches)



Unit – I

1.

a) Solve 2 3sec tandy

y x y xdx

8M

b) Find the orthogonal trajectories of the family of curves cosn nr a n where a as

parameter.

7M

2.

a) Solve 3 2 2 4( ) 2( ) 0xy y dx x y x y dy

7M

b) Under certain conditions, cane sugar is converted into dextrose at a rate which is proportional to the amount unconverted at any time. If out of 75gms of sugar at t=0, 8gms are converted during the first 30 minutes, find the amount converted in 1 ½ hrs.

8M

Unit – II

3.

a) Solve 2

22 sinxd y dy

y xe xdx dx

7M

b) Solve by method of variation of parameter xe

ydx

yd

1

2

2

2

8M

4.

a) Solve 2 2 5 3 logx D xD y x

8M

b) At the end of three successive seconds, the distance of a point moving with SHM from

its mean position is 1 2 3, ,x x x respectively. Show that the time of complete oscillation

1 1 3

2

2

cos2

x x

x

7M

Unit – III

5.

a) Employ Lagrange’s mean value theorem, prove that

2

11

2 1)(tan)(tan

1 a

abab

b

ab

where 1a b and hence deduce that 13 4 1tan

4 25 3 4 6

8M

b) If sin cos ,x r sin siny r and cosz r then find

, ,

, ,

x y z

r

7M

6.

a) Evaluate ydxdy over the region enclosed by the parabola 2x y and the line

2.y x

7M

b) Use the method of Lagrange’s multipliers to find the volume of the largest rectangular

Parallelopiped that can be inscribed in the ellipsoid 2 2 2

2 2 21

x y z

a b c

8M

Cont…2

:: 2 ::

Unit – IV

7.

a) Evaluate 2 sin 2 coste t t

Lt

7M

b) Using the method of Laplace transforms, solve

'' 9 cos2 , 0 1, 12

y y t y y

8M

8.

a) Find the Laplace transforms ofsin ,

( )cos ,

t o tf t

t t

8M

b) Using Laplace transform, evaluate 2 3

0

1 2 3 4 2te t t t U t dt

7M

Unit – V

9.

a) If 2 2 2( ) (3 ) (x z)F xyz i x y j z y k

find divF

and curlF

at (2, -1, 1)

6M

b) Verify Stoke’s theorem for ˆˆ ˆF yi zj xk

where S is the upper half of the sphere 2 2 2 1x y z and C is its boundary.

9M

10.

a) Evaluate by divergence theorem for 3 3 3 ˆˆ ˆF x i y j z k

taken over the surface of the

sphere 2 2 2 2x y z a

8M

b) Prove that 2 2 2(3 3 ) (3 3 ) (3 3 )F x yz i y zx j z xy k

is conservative and find

scalar potential such that F

7M

Hall Ticket No: Question Paper Code:

A3002



ENGINEERING PHYSICS (Common to Electronics and Communication Engineering,

Mechanical Engineering & Civil Engineering) Date: 22 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) With a neat sketch, obtain an expression for interplanar spacing in terms of Miller indices for a cubic lattice.

6M

b) Does the Miller indices (hkl) refer to a single plane or to the family of parallel planes? What interpretation is given to the Miller indices? A member of a family of planes cuts the a-axis, b-axis and c-axis at points P, Q and R respectively. If the origin of the axes is O and it is given that OA=a/3, OB=b/2 and OC=c/4 where a, b and c are the axial lengths then what is the Miller indices for the plane?

9M

2. a) What are the limitations of Bragg’s law? Using a neat diagram explain the rotating crystal method of diffraction.

10M

b) Using X-rays of wavelength 1.54Å a first order diffraction maximum is obtained at an angle of 32.51° from a cubic crystal whose unit cell dimension is 3.51Å. What are the possible Miller indices of the set of planes from which this reflection is obtained?

5M

Unit – II

3. a) Describe Davisson-Germer’s experiment and explain how it enabled verification of the deBroglie equation.

10M

b) A particle is confined to an infinite potential well of width L, calculate the probability of finding the particle between x=0 and x=L/2 in ground state.

5M

4. a) Explain the working of an LED. What kinds of semiconductor materials are necessary for creation of LED?

7M

b) Explain the Fermi level in intrinsic and extrinsic semiconductors with energy band diagrams.

8M

Unit – III

5. a) What are nano materials? Discuss various properties of nano materials. 5M b) Outline the procedure of the sol-gel method of synthesis of nano particles. What are

the inherent advantages of this method?

10M

6. a) Explain three distinguishing features of Ferroelectric materials. 9M b) Write down the Claussius-Mosotti relation and explain its significance. A dielectric

sample contains two species A and B, each of concentrations, 1028 and 3x1028/m3 respectively. If the polarizabilities of A and B are 10-40 and 2x10-40 respectively then what is the dielectric constant of the specimen.

6M

Unit – IV

7. a) Explain the different types of magnetic materials based on magnetic moment. 6M b) Explain the hysteresis loop with B-H curve. What should be voltage required to

introduce a material of dielectric constant 4 between the plates of a parallel plate capacitor of area 1000mm2 having plate separation of 5mm and a charge of 3x10-10 C? Also determine the applied electric field.

9M

Cont…2

:: 2 ::

8. a) Describe the high temperature superconductivity with examples. 6M b) Discuss the phenomenon of superconductivity and Meissner effect with example.

Also explain the validity of Meissner effect in Type-I and Type-II superconductors.

9M

Unit – V

9. a) Show that the probability of stimulated emission is the same as the probability of absorption.

8M

b) What are the characteristics of laser beam? What is the ratio of populations of the two energy levels correspondence to the lasing wavelength of 694.3nm in ruby laser?

7M

10. a) Using neatly labeled diagrams represent the trajectories of light rays in: i. Step index ii. Graded index optical fibers

6M

b) What is attenuation in optical fibers? Write an equation for the attenuation coefficient. Explain the extrinsic causes of attenuation of signals in optical fibers.

9M




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

Electrical and Electronics Engineering) Date: 22 December, 2017 Time: 3 hours Max Marks: 75


Unit – I 1. a) Write notes on Tse-Chu Festival in Ladhak and Service rendered by Helena Nordberg-

Hordge. 10M

b) Do as directed: i. Write the antonym for the word : Wax ii. Write the synonym for the word : Annihilation iii. Fill in the blank with appropriate article : They went to zoo and saw ____

elephant. iv. Underline the nouns in the sentence : Foreigners were asked to follow mindful

tourism. v. Underline the adjective in the sentence : The water was dirty.

5M

2. a) Summarize the services rendered by Mother Teresa. 10M b) Do as directed:

i. Use the given suffix to form a new word: able ii. Rewrite correct sentence: I have returned all the books to the library yesterday. iii. One word substitute: A stage of growth between boyhood and youth. iv. Use the idiom in your own sentence : ‘See eye to eye’ v. Each man and each woman have the right to vote

5M

Unit – II 3. a) Justify the title of the story ‘The Connoisseur’. 10M b) Do as directed:

i. Identify the adjective in the sentence: Is there any news? ii. Jane is happy. She smiles ………. iii. Underline the noun phrase in the sentence: The glistening snow covered the field. iv. Identify the infinitive phrase in the sentence: My dog needs to take a walk. v. Underline the noun phrase in the sentence : Leela gave the little boy a candy.

5M

4. a) Sketch the career of Sam Pitroda. 10M b) Do as directed:

i. Correct the sentence: I am understanding you. ii. Use appropriate quantifier: ------ students are absent today. iii. Fill in the blank with suitable preposition : The sparrows took notice____the

bread. iv. Use the phrasal verb in your own sentence : Break down v. Rearrange the words to form a meaningful sentence: wore a hat he of coconut

made fiber his on head.

5M

Unit – III 5. a) What according to the writer are the guiding factors while choosing a story for the

film? 10M

b) Do as directed: i. Write one word substitute: A person who believes in God ii. Find the adverb in the sentence: The colors are vibrantly given to stand out iii. Form a word using prefix ‘Un’ : iv. Use this idiom in your own sentence: a herculean task v. Correct the sentence: Sit besides and watch the show

5M

Cont…2

::2::

6. a) Give an account of Martin Luther King’s historical speech. 10M b) Do as directed:

i. Identify conjunction: As we drove, we enjoyed the scenic beauty. ii. Write the synonym for the word: proclaim iii. Identify the phrase in the sentence: I get up at six in the morning iv. Use this idiom in your sentence: at arm’s length v. Correct the sentence: Here are the informations given.

5M

Unit – IV

7. a) Describe the efforts taken by the administration to tackle the after effects of tsunami attack in Cuddalore.

10M

b) Fill in each of the blanks with the correct form of the tense and specify the tense. i. Janet ……. Karate class every Saturday. (attend) ii. The market ……… usually noisy in the morning. ( to be) iii. The athletes’ …….. for Canada tomorrow. (leave) iv. You are late. The bus …….. already. (leave) v. The post man …….. the parcel already. (delivery)

5M

8. a) Write a Resume for the position of Computer Programmer. Write a job application letter.

10M

b) What are the messages you received from the reading of Obama’s inspirational speech?

5M

Unit – V

9. a) How does Obama react to the issue of terrorism? What are his views on religious freedom?

10M

b) Do as directed: i. Convert the sentence to indirect: Clinton said, “I am very busy now." ii. Give an example of compound sentence. iii. Indicate whether the sentence is simple, compound or complex: Some people tell

me that money can’t buy happiness. iv. Give one word substitute for: a place where government or public records are

kept v. Give an example of complex sentence.

5M

10. a) Imagine you are the coordinator of the NSS team at your college. Draft a report on the recent activities initiated by the NSS team to be submitted to the Managing Director of your institution.

10M

b) Narrate views of religious freedom according to Obama. 5M




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

Electrical and Electronics Engineering) Date: 27 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) Five men in a company of 20 are graduates. If 3 men selected out of 20 at random, what is the probability that: i. They are all graduates ii. At least one is graduate

7M

b) A and B throw a pair of dice one after the other and it is agreed that the one who throws a sum of 9 first wins. Show that the chances of their winning is 9:8.

8M

2. a) A bag contains 10 white and 15 black balls. Two balls are drawn in succession. What is the probability that one is black and the other is white?

7M

b) In a bolt factory, machines A,B,C manufacture 25%, 35% and 40% of the total and of their output 5%,4%,2% are defective bolts. A bolt is drawn at random from the product and is found to be defective. What are the probabilities that it was manufactured by: i. Machine A ii. Machine B

8M

Unit – II

3. a) In a large institution, 2.28% of employees have income below Rs. 4500 and 15.87% of employees have income above Rs.7,500 per month. Assuming the distribution of income is normal, find its mean and standard deviation.

8M

b) Assuming that one in 80 births is a case of twins, calculate the probability of 2 or more sets of twins on a day when 30 births occurs by using Binomial distribution.

7M

4. a) Out of 800 families with 5 children each, how many would you expect to have: i. 3 boys ii. 5 girls iii. Either 2 or 3 boys Assume equal probability for boys and girls.

7M

b) The daily wages of 1000 worker men are normally distributed around a mean of Rs.70 and with standard deviation of Rs.5. Estimate the number of workers whose daily wages will be: i. Between Rs.70 and 72 ii. More than Rs. 75

8M

Unit – III

5. a) Using Regula – Falsi method, find a root of the equation 6 4 3 1 0x x x upto four decimals.

8M

b) Using Newton’s backward difference formula, compute 1.9e from the following table:

x 1 1.25 1.5 1.75 2 xe 0.3679 0.2865 0.2231 0.1738 0.1353

7M

Cont…2

::2::

6. a) Find a cubic Polynomial passing through the Points (0, 2), (1, 3), (2, 12) and (5, 147) using Lagrange’s interpolation.

8M

b) Find a real root of the equation log cos 0ex x correct to three decimal places using

Newton Raphson method.

7M

Unit – IV

7. a) Find 'y and ''y at 1x for the following data:

x 1 2 3 4 5 6 y 1 8 27 64 125 216

8M

b) By the method of least squares, find the curve 𝑦 = 𝑎𝑥 + 𝑏𝑥2 that best fits the following data.

x 1 2 3 4 5 y 1.8 5.1 8.9 14.1 19.8

7M

8.

a) Using Simpson’s 1

3

rd

rule, evaluate

6

20 1

dx

x and compare with exact value.

7M

b) Fit a curve of the form bxy ae for the following data.

x 1 2 3 4 5 6 y 1.6 4.5 13.8 40.2 125 300

8M

Unit – V

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

problem , (2) 2,dy

x x y ydx

at 2.1x

7M

b) By Runge-kutta fourth order method, solve

2 2

2 2, (0) 1

dy y xy

dx y x

for (0.2)y taking step

length h=0.2

8M

10. a) Using Modified Euler’s method, find an approximate value of y when 20.2x given

that 10log , (20) 5dy x

ydx y

taking step length h=0.2

7M

b) Compute 0.8y at x by applying Adams-Bashforth method, given

2 , (0) 0, (0.2) 0.02, (0.4) 0.0795 (0.6) 0.1762dy

x y y y y and ydx

8M




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

Electronics and Communication Engineering & Electrical and Electronics Engineering) Date: 29 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) Find the current IL using source transformations.

Fig.1

8M

b) Determine the total resistance and current in the circuit shown in Fig.2.

Fig.2

7M

2. a) State and explain: i. Kirchhoff’s laws ii. Dependent and Independent sources

8M

b) Determine the value of current in the branch BE circuit shown in Fig.3 applying Kirchhoff’s law.

Fig.3

7M

Unit – II

3. a) Three resistances r, 2r and 3r are connected in delta. Determine the resistances for an equivalent star connection.

6M

b) Find the voltage across 1Ω resistor and current through 2Ω resistor for the circuit shown in Fig.4 using nodal method.

Fig.4

9M

Cont…2

::2::

4. a) Explain basic cut set and tie set matrices with an example. 7M b) Determine the current in the 5 ohm resistor in the network shown in Fig.5.

Fig.5

8M

Unit – III 5. a) Derive average and RMS value of a sine wave and cosine wave in terms of maximum

value. 8M

b) The circuit, having two impedances of Z1= (8 +J15)Ω and Z2=(6 -J8)Ω in parallel, is connected to a single phase AC supply as shown in Fig.6 and the current drawn is 10A. Find I1 and I2

.

Fig.6

7M

6. a) Obtain the relationship between current through and voltage across a pure capacitor applied to a sine wave. Draw the Phasor diagram.

7M

b) A resistor of 50Ω in parallel with an inductor of 30mH, is connected in series with a capacitor, C as shown in Fig.7. A voltage of 230 V, 50 Hz is applied to the circuit. Find: i. The value of C to give unity power factor ii. The total current iii. The current in the inductor

Fig.7

8M

Unit – IV

7. a) Explain Thevenin’s theorem with an example. 8M b) Find the value of resistance R in the circuit shown in Fig.8 to have maximum power

transfer. Also obtain the amount of maximum power.

Fig.8

7M

Cont…3

::3::

8. a) Explain Millman’s theorem with an example. 8M b) For the circuit shown in Fig.9 calculate the current in 6Ω resistor by using Norton’s

theorem

Fig.9

7M

Unit – V

9. a) Explain hybrid parameters with necessary equations. 7M b) Find the Z parameters for the circuit shown in Fig.10.

Fig.10

8M

10. a) Find the relation between Transmission parameters (ABCD) and Y parameters. 7M b) The Z parameters of a two port network are z11=10Ω, z22=15Ω, z12=z21=5Ω. Find the

equivalent ABCD parameters. 8M




ENGINEERING MECHANICS-I

(Common to Mechanical Engineering & Civil Engineering)



Unit - I 1. a) Explain the different types of force systems giving an example for each one of them. 7M b) Determine the resultant of the five forces shown in Fig.1.

Fig.1

8M

2. a) A force F1 = 1200N is acting vertically on an incline as shown in Fig.2. Find its components along x and y axes.

Fig.2

7M

b) A 3kN crate is to be supported by the rope and pulley arrangement shown in Fig.3 Determine the magnitude and direction of the force F, which should be exerted at the free end of the rope.

Fig.3

8M

Cont…2

::2::

Unit – II

3. a) Define free body diagram. Describe types of forces acting on a body. Explain them briefly.

7M

b) Determine the reactions at contact points for the system shown in Fig.4.

Fig.4

8M

4. a) Write a note on: i. Roller Support ii. Hinged Support iii. Fixed Support

7M

b) Determine the equivalent system of force and couple at ‘A’ for the system of loading as shown in Fig.5.

Fig.5

8M

Unit – III

5. A ladder is supported against a wall as shown in Fig.6. It weighs 250N and a man of weight 500N force to climb the entire ladder, determine how far can be climb along the ladder without slipping. Coefficient of friction between floor and ladder is 0.25 and between wall and ladder is 0.15.

Fig.6

15M

Cont…3

:: 3 ::

6. a) Briefly explain:

i. Angle of repose ii. Cone of friction

5M

b) Determine whether the 50kg block shown in Fig.7 is in equilibrium and find the magnitude and direction of the frictional force: i. Ɵ=200 ii. Ɵ=100 Take µ=0.3.

Fig.7

10M

Unit – IV

7. Using the analytical method, determine the centre of gravity of the plane uniform lamina shown in Fig.8.

Fig.8

15M

8. a) Determine the y-coordinate of centroid of the triangular area of base b and height h

from first principles.

6M

b) Locate the centroids of the following area shown in Fig.9.

Fig.9

9M

Unit – V

9. a) State and prove parallel axis theorem. 8M b) Find the moment of inertia of the section shown in Fig.10 about horizontal centroidal

axis and also find the radius of gyration about the same axis:

Fig.10

7M

Cont…4

:: 4 ::

10. Determine the second moment of the area about the horizontal centroidal axis as shown in

Fig.11. Also find radius of gyration.

Fig.11

15M


(AUTONOMOUS) B. Tech I Semester Regular/Supplementary Examinations, January - 2018


COMPUTER PROGRAMMING (Common for All Branches)

Date: 03 January, 2018 Time: 3 hours Max Marks: 75


Unit – I

1. a) Why C language supports many data types? What is the effect of mixing types in C? Explain briefly the numeric types supported by C.

9M

b) Write a C Program to find largest of three integers using Conditional Operator. Note: The program must find the largest of the three integers in a single C statement.

6M

2. a) Write a C Program to find the roots of a quadratic equation. 7M b) Consider the following code snippets:

i. #include<stdio.h> int main(void) int x = 19; printf ("x << 1 = %d\n", x << 1); printf ("x >> 1 = %d\n", x >> 1); return 0;

ii. #include<stdio.h> int main() int a; a = 1, 2, 3; printf("%d", a); return 0;

iii. #include <stdio.h> int main() int i = (1, 2, 3); printf("%d", i); return 0;

iv. #include <stdio.h> int main(void) int i = 3; printf("%d", (++i)++); return 0;

Do the codes execute? If yes, write the output and one line explanation for that output. If no, identify and fix the bug.

8M

Unit – II

3. a) Differentiate while and do-while loop giving suitable examples. 5M b) Upper triangular matrix can be extracted from a square matrix by extracting the

elements of principle diagonal and the elements that lie above it. Write a C program to extract the upper triangular matrix from a square matrix.

10M

Cont…2

::2::

4. a) Develop a C program that checks whether two matrices can be multiplied or not. If yes,

multiply them and display the resultant matrix in the matrix format. 8M

b) Develop a C program to check whether the string given by the user is a palindrome or not without using string library functions.

7M

Unit – III

5. a) What is the relationship between array and pointers? Illustrate with suitable examples. 7M b) Define recursion. Making use of recursion to:

i. Find the factorial of a given number ii. Generate the Fibonacci numbers up to N

8M

6. a) Why are pointers passed to functions as arguments? Like other variables, pointer

variables can be used in expressions – Comment. 7M

b) Write a C program to find the sum of the elements in one dimension array using pointers.

8M

Unit – IV

7. a) Discuss the uses of typedef and Enumerations with suitable example. 5M b) Define a structure by name ‘complex’ consisting of real and imaginary parts of a complex

number. Write a C program to add and multiply two such complex numbers.

10M

8. a) Write a short note on the following: i. Structure with in a structure ii. Array of structures iii. Self-referential structures

8M

b) Write a C program to demonstrate passing structures through pointers.

7M

Unit – V

9. a) What are the various file access modes? Demonstrate various file accessing modes. 7M b) Develop a ‘C’ program that counts the number of characters present in a file.

8M

10. a) Explain the general format of ftell(), rewind() and fseek() functions. 5M b) Write a program in C to append the contents of one file to the end of another file. 10M

Documents

ENGINEERING DRAWING-I · 2018-12-10 · 2. a) Construct a vernier scale to read metres, decimetres and centimetres and long enough to measure upto 4m. The RF of the scale in 1/20