Question Paper Code : A3505 (AUTONOMOUS) B. Tech III ... · b) Write journal entries in the books...

Hall Ticket No: Question Paper Code : A3505

(AUTONOMOUS) B. Tech III Semester Supplementary Examinations, May - 2017

(Regulations: VCE-R15)

DISCRETE MATHEMATICAL STRUCTURES (Common to Computer Science and Engineering & Information Technology)

Date: 13 May, 2017 FN Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. a) Show that )()()( RPQPRQP is a tautology. 7M b) Find the Principal conjunctive normal form of )( RQP by constructing truth table.

8M

2. a) Show that SR is a valid conclusion from the premises PRSQP ),( and

.Q

7M

b) Verify the validity of the following argument. Tigers are dangerous animals. There are Tigers. Therefore there are dangerous animals.

8M

Unit – II

3. a) Define the following terms with examples: i. Function ii. Surjective function iii. Injective function iv. Bijective function

8M

b) Let X={1, 2, 3, 4, 5} and Let R={(1, 2), (3, 4), (2, 2)} and S={(4, 2), (2, 5), (3, 1), (1, 3)} be the relations defined on X. Find R◦S , S◦R , R◦(S◦R) , (R◦S)◦R , R◦R , S◦S and R◦R◦R.

7M

4. a) Let A be the set of factors of a particular positive integer m and let ≤ be the relation

divides where ≤ = { (x,y) | x ∈ A y A (x divides y) }. Draw the Hasse diagram for: i. m=12 ii. m=30 iii. m=45 iv. m=210

10M

b) X={1, 2, 3, 4} and R={ (x,y) | x>y } . Draw the graph of R and also give its matrix. 5M

Unit – III

5. a) Define: i. Sub lattice ii. Lattice homomorphism iii. Complete lattice iv. Distributive lattice

8M

b) Let ),( L be a lattice and Lcba ,, such that .cb Prove that:

i. caba ii. caba

7M

6. a) Prove that in any graph the number of vertices of odd degree is even 7M b) Define with an example:

i. Euler circuit ii. Hamiltonian circuit

8M

Cont…2

::2::

Unit – IV

7. a) Find the total number of positive integers that can be formed from the digits 1, 2, 3, 4 if no digit is repeated in any integer.

7M

b) Determine the coefficients of:

i. 39 yx in the expansion of 122yx

ii. 2yzx in the expansion of 4

12 3x y z

8M

8. a) Find the number of ways of selecting 4 persons out of 12 persons to a party if: i. There is no restriction in choice ii. Two particular persons will not attend separately iii. Two particular persons will attend together

8M

b) Determine the number of positive integer n such that 1001 n and n is not divisible by 2, 3 or 5.

7M

Unit – V

9. a) Find the solution of the recurrence relation:

8;2

5,2,044 1021 aanaaa nnn by the method of characteristic roots.

8M

b) Solve the recurrence relation 1)1(1 nfornnaa nn , where 10 a by substitution

method.

7M

10.

a) Solve the recurrence relation 20107 21 nforaaa nnn 4110 10 aanda using generating functions.

7M

b) Solve the recurrence relation 2 1 0 1, 0, 0, 1n n nF F F for n F F 8M

Hall Ticket No:

Question Paper Code: A3009



MATHEMATICS-III

(Common to Electronics and Communication Engineering & Electrical and Electronics Engineering)



Unit – I

1.

a) When n is a positive integer, prove that 1

2 1.3.5. ... . 2 12

n n n

7M

b) Show that

1 12

4 40 0 4 21 1

x dxdx

x x

8M

2.

a) Prove that 1

2 nn

n

xt

te t J x

8M

b) Show that 1 12 1 1n n nn xP x n P x nP x

7M

Unit – II

3.

a) Show that the function f z xy is not analytic at the origin although C-R equations are satisfied at that point.

7M

b) If w i represents the complex potential for an electric field and

2 2

2 2

xx y

x y

, determine the function

8M

4.

a) If f z is an analytic function of z then prove that

22

2

f z f z f zx y

7M

b) Show that 3

3sinu r is harmonic and hence find its harmonic conjugate.

8M

Unit – III

5.

a) If log tan4 2

u

then prove the following:

i. tanh tan2 2

u

ii. log tan4 2

ui i

8M

b) Express logsin x i y in the form a ib

7M

6. a) Find the bilinear transformation which maps the points , , 0z i onto

1, , 1.w i Also find the fixed points of the transformation.

7M

b) Show that under the transformation ,

z iw

z i

the real axis in the z-plane is mapped

into the circle 1w in the w-plane.

8M

Cont…2

:: 2 ::

Unit – IV

7.

a) Evaluate 22 3y x dx x y dy along the parabola 22 , 3 x t y t joining the

points 0,3 and 2,4 .

7M

b) Evaluate

2

3

sin

6

C

z

z

, where C is 1z using Cauchy’s integral formula.

8M

8.

a) Find the Taylor’s series expansion of 2

1

6z z about 1z

8M

b) Determine the zeros and poles of

cos

zf z

z

7M

Unit – V

9.

a) Find the residue at each pole of

3

2

1

1z

7M

b) Find the residues of

2 2

2

sin cos

1 2

z zf z

z z

in : 3C z and hence evaluate

C

f z dz

8M

10.

a) Show that 2 2

0

0cos

da b

a b a b

8M

b) Evaluate

2

0

cos

1

axdx

x

7M




MANAGERIAL ECONOMICS AND FINANCIAL ANALYSIS (Common to Computer Science and Engineering, Information Technology,

Electrical and Electronics Engineering & Civil Engineering) Date: 25 May, 2017 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) Define Managerial Economics. Briefly discuss the nature of Managerial Economics. 5M b) What is Elasticity of Demand? Discuss different types of Elasticity of Demand.

10M

2. a) Demand is dependent on several factors. What are they? Explain. 5M b) What is demand forecasting? Explain the statistical methods of demand forecasting. 10M

Unit – II

3. a) Define production function. What are the attributes of production function? Explain the laws of returns to scale.

9M

b) Discuss about least cost combination of inputs.

6M

4. a) Discuss about various cost concepts. Explain cost analysis in the long run. 9M b) A firm has a fixed cost of Rs.50,000, selling price per unit is Rs.50 and variable cost per

unit is Rs.25. Present level of production is 3500 units: i. Determine break-even point in terms of volume and sales value ii. Calculate margin of safety

6M

Unit – III

5. a) Compare and contrast different market structures. 8M b) What is monopoly? Explain features of monopoly market.

7M

6. a) What are the various pricing strategies in times of stiff competition? 7M b) What is Marginal cost pricing and Peak load pricing? Explain. 8M

Unit – IV

7. a) What is meant by working capital? What is the need of working capital to business enterprises?

7M

b) What is discounted cash flow method of capital budgeting? Explain its basic elements.

8M

8. a) What is Average rate of return technique of capital budgeting? What are its merits and demerits?

6M

b) Given the following information regarding cash inflow in respect of the two project proposals, rank them by applying the criteria of: i. Payback period ii. ARR If Initial investment for both the proposals are Rs.25,000

Years Proposal I (Rs.) Proposal II (Rs.)

1 11,750 13,500

2 12,250 12,500

3 12,500 12,250

4 13,500 11,750

9M

Cont…2

::2::

Unit – V

9. a) What do you mean by Double entry system of book keeping? Explain its advantages. 7M b) Write journal entries in the books of Chikky and Bros.

10th June : Paid wages Rs.12,000 11th June : Paid rent by cheque Rs.10,000 14th June : Purchased stationery from Kagaz and Co. and paid by cheque Rs.5,000 17th June : Paid for newspapers, magazines and periodicals Rs.1,500 18th June : Rent received from Mr. Mohan Rs.8,000 19th June : Goods taken by the proprietor for personal use. Rs.2,000 20th June : Carriage paid on purchase of goods Rs.3,000 22nd June : Carriage paid on sale of goods Rs.2,000

8M

10. Prepare a Balance Sheet from the following data: Stock Velocity = 6 times Capital Turnover Ratio = 2 times Fixed assets turnover = 4 times Gross Profit Turnover Ratio = 20% Debtors Velocity = 2 months Creditors velocity = 73 days The Gross Profit was Rs.60,000, Reserve and Surplus amounts to Rs.20,000. Closing Stock was Rs.5,000 in excess of Opening stock.

15M




DIGITAL LOGIC DESIGN (Common to Computer Science and Engineering, Information Technology,

Electronics and Communication Engineering & Electrical and Electronics Engineering) Date: 18 May, 2017 FN Time: 3 hours Max Marks: 75


Unit - I 1. a) Perform the addition of following BCD numbers by converting them into binary:

10 10

511.97 632.76 ?

6M

b) Express the Boolean function i. F A BC in canonical sum of products ii. F XY XZ in canonical product of sums

9M

2. a) Perform the following operations: i.

162 5.AC D to Decimal, Binary and Octal

ii. 8

623.77 to Decimal, Binary and Hexadecimal

6M

b) State and prove the following laws: i. Commutative ii. Associative

9M

Unit – II

3. a) Simplify the Boolean Function using Quine Mccluskey method and find out all prime

implicants and essential prime implicant w, , , 5,6,7,8,9,12,13,14,15 .F x y z m 10M

b) Implement the following function with two level NOR gates , , 0,7 .F x y z m

5M

4. a) Simplify the Boolean Function in sum of products & product of sums using k-map.

w, , , 1,3,7,11,15F x y z m and Don’t care condition w, , , 0,5,5 .d x y z m 10M

b) Simplify the Boolean function in sums of products

, , , 0,1,2,4,6,7,8,9,10 .F A B C D m

5M

Unit – III

5. a) Design a logic circuit to accept a four bit input and generate logic 0 output whenever the input code is divisible either by 3 or 5.

9M

b) Write the truth table for binary to BCD code converter.

6M

6. a) Design a 4-bit parallel adder using full adders. 7M

b) Implement the following Boolean function using 8 : 1 Multiplexer.

A, , , 0,3,5,8,9,10,12,14f B C D M

8M

Unit – IV

7. a) Write short notes on 4 types of shift registers. 6M b) Implement the following Boolean functions using PAL:

i. A, , , 0,2,6,7,8,9,12,13w B C D m ii. A, , , 0,2,6,7,8,9,12,13,14x B C D m

iii. A, , , 2,3,8,9,10,12,13y B C D m

9M

Cont…2

:: 2 ::

8. a) Design a BCD to excess-3 code converter and implement using suitable PLA. 7M b) A 3-bit binary counter is first described by a state diagram which is shown the sequence of

states through which the counter advances when it is clocked. Analyze state table and excitation table for the state diagram.

Fig.1

8M

Unit – V

9. a) State the capabilities and limitations of finite state machine. 5M b) Determine the minimal state equivalent of the state table given below using partition

technique.

PS NS, z

X = 0 X = 1

Q0 Q0 , 1 Q4 , 0

Q1 Q0 , 0 Q4 , 0

Q2 Q1 , 0 Q5 , 0

Q3 Q1 , 0 Q5 , 0

Q4 Q2 , 0 Q6 , 1

Q5 Q2 , 0 Q6 , 1

Q6 Q3 , 0 Q7 , 1

Q7 Q3 , 0 Q7 , 1

10M

10. a) Draw the ASM chart for 4-bit Binary Multiplier. 8M b) Draw an ASM chart and state diagram for the synchronous circuit having the following

description. “The circuit has a control input X, clock and outputs A and B. If X=1, on every clock rising edge the code on BA changes from 0 0 0 1 1 0 1 1 0 0 and repeats. If X=0, the circuit holds the present state”.

7M




DESIGN AND ANALYSIS OF ALGORITHMS (Common to Computer Science and Engineering & Information Technology)



Unit – I

1. a) Compare time complexity with space complexity. Explain time complexity methods with a suitable example.

10M

b) Write a pseudo code for the weighed union (x,y) with respect to union algorithm.

5M

2. a) Sort the following sequence of keys using merge sort: 66, 77, 11, 88, 99, 22, 33, 44, 55.

8M

b) Sort the following recurrence relation:

, 1

2 f 1where and areconstant2

n

a m

T n nT c i n a c

7M

Unit – II

3. a) Explain the job sequencing problem with deadlines. 7M b) What is the knapsack problem? Find an optimal solution to the knapsack problem with

n=7, m=15, (p1,p2…..,p7)=(10,5,15,7,6,18,3) and (w1,w2,….w7)=(2,3,5,7,1,4,1).

8M

4. a) Explain Kruskal’s algorithm with an example. 7M b) Write greedy algorithm to generate single source shortest path. 8M

Unit – III

5. Find the optimal sequence by using traveling sales person for the following instance.

15M

6. a) Explain in detail about Reliability Design in Dynamic Programming. 6M b) Explain in detail about the sum of subsets problem by using dynamic programming. 9M

Cont…2

::2::

Unit – IV

7. a) Using backtracking, find the Hamiltonian circuit in the following graph using state space tree.

Fig.1

7M

b) Differentiate between graph traversal and tree traversal. Traverse the following graph using DFS and BFS techniques (starting vertex ‘a’):

Fig.2

8M

8. a) Apply backtracking to solve the following instance of the sum of subsets problem S = {5, 10, 12, 13, 15, 18} and d = 30.

7M

b) Solve the following graph coloring problem:

Fig.3

8M

Unit – V

9. Consider the travelling sales person instance defined by the cost matrix:

7 3 12 8

3 6 14 9

5 8 6 18

9 3 5 11

18 14 9 8

Obtained the reduced cost matrix and Draw the state space tree and describe the progress of the method from node to node.

15M

10. Answer the following: i. Non-deterministic algorithms ii. NP-Hard class iii. NP-Complete class

15M




COMPUTER ORGANIZATION AND MICROPROCESSORS (Computer Science and Engineering)



Unit – I

1. a) Explain Von-Neumann architecture with diagram. 7M b) Explain shift microoperations.

8M

2. a) Draw the functional diagram of the computer and explain. 7M b) A digital computer has a common bus system for 16 registers of 32bits each. The bus is

constructed with multiplexers. i. How many selection inputs are there in each multiplexer? ii. What sizes of multiplexers are needed? iii. How many multiplexers are there in the bus?

8M

Unit – II

3. a) Explain arithmetic pipeline for floating point addition and subtraction with neat sketch. 7M b) Explain design of control unit and draw a neat sketch for decoding of microoperation

fields.

8M

4. a) Define the following: i. Control word ii. Micro operation iii. Control memory

6M

b) Show the step-by step multiplication process using Booth algorithm when the following binary number are multiplied. Assume 5-bit registers that hold signed numbers. The multiplicand in both cases is +7. i. (+7) X(+3) ii. (+7)X (-3)

9M

Unit – III

5. a) With neat sketch explain the architecture of 8086 processor. 9M b) Compare minimum mode and maximum mode signals.

6M

6. a) What is addressing mode? Explain addressing modes of 8086 with examples. 9M b) Write the flag register of the 8086 and explain its functions.

6M

Unit – IV

7. a) Define direction flag. Explain string manipulation instructions of 8086 with sample programs.

8M

b) Compare and contrast the difference between procedures and macros.

7M

8. a) Explain branch and call instructions of 8086 with examples. 6M b) Write an assembly language program to find the average of 10 byte-type data stored in

an array in data segment.

9M

Unit – V

9. a) Explain the working of programmable peripheral interface (8255) with block diagram. 8M b) Explain Interface two 4Kx8 EPROMS and two 4Kx8 RAM chips with 8086.

7M

10. a) Explain the different modes of 8255. 8M b) Elaborate the procedure for interfacing4x4 keyboard with 8086 processor. 7M




OBJECT ORIENTED PROGRAMMING (Common to Computer Science and Engineering & Information Technology)



Unit – I

1. a) Draw the JVM architecture. What is type conversion and type casting? 8M b) Write a sample program on reading and writing console input and output.

7M

2. a) Explain about method overloading with example. 7M b) Write a program for Multiplication of Matrices (Test the validity of Matrix sizes before

performing Matrix multiplication).

8M

Unit – II

3. a) Explain method overriding with an example program. 8M b) Does Java support multiple inheritances? Justify your answer.

7M

4. a) What is meant by extension of interfaces? Explain with an example. 10M b) Write a Java program to demonstrate interfaces.

5M

Unit – III

5. a) Explain about the life cycle of a Thread. 7M b) Write a program to print even numbers in one thread and odd numbers in another

thread.

8M

6. a) Explain about the keywords try, catch, throw and throws. 7M b) Write a program to catch divide by zero and array out of bounds Exceptions.

8M

Unit – IV

7. a) What are the methods supported by KeyListener Interface? Explain in detail. 7M b) What are the methods supported by MouseListener Interface? Explain in detail.

8M

8. a) What are different AWT components available in java? Explain in detail. 7M b) What are Frames? How is it different when compared to applets explain with example.

8M

Unit – V

9. a) Explain about the importance of Swings. 7M b) Explain about JButton class and its methods.

8M

10. a) Explain about the Applet Life Cycle. Give the Skeleton of Applet. 7M b) Explain about the TabbedPanes. 8M




MECHANICS OF SOLIDS (Mechanical Engineering)



Unit – I

1. a) What is a bulk modulus? Derive an expression for Young’s Modulus in terms of bulk modulus and Poisson’s ratio.

7M

b) Three bars made of Copper, Zinc and Aluminium are of equal length and have cross

section 500, 750 and 1000mm2 respectively. They are rigidly connected at their ends. If this compound member is subjected to a longitudinal pull of 250kN, estimate the proportion of the load carried on each rod and the induced stresses. Take the value of E for Copper is 1.3X105N/mm2, for Zinc is 1X105N/mm2 and for Aluminium is 0.8X105N/mm2.

8M

2. a) Define the following terms : i. Thermal stresses ii. Resilience

2M

b) A steel rod of 20mm diameter passes centrally through a copper tube of 50mm external diameter and 40mm internal diameter. The tube is closed at each end by rigid plates of negligible thickness. The nuts are tightened lightly home on the projecting parts of the rod. If the temperature of the assembly is raised by 500C, Calculate the stresses developed in copper and steel. Take E for steel and copper as 200GN/mm2 and 100GN/mm2 and α for steel and copper as 12X10-6/ 0C and 18X10-6/ 0C.

13M

Unit – II

3. a) Derive relation between bending stresses, radius of curvature and bending moment. 5M b) A 2 meters long cantilever with rectangular cross section (60mm X 90mm) is subjected

to a uniformly distributed load 4kN/m throughout its length. Determine: i. Maximum bending stress and its location ii. Maximum shear stress and its location

10M

4. a) Write bending equation and elaborate the terms. 3M b) Determine the magnitude of the load P, acting at the free end for the beam shown in

Fig.1, provided the reactions at the supports are equal. Draw the SF and BM diagram and locate the salient point and point of contra flexure, if any.

Fig.1

12M

Unit – III

5. a) Derive the bending equation from the first principles. 8M b) A square beam 20mm X 20mm in section and 2m long is supported at the ends. The

beam fails when a point load of 400N is applied at the centre of the beam. What uniformly distributed load per meter length will break a cantilever of the same material 40mm wide, 60mm deep and 3m long?

7M

Cont…2

:: 2 ::

6. a) Define the following:

i. Sagging Moment ii. Hogging Moment

4M

b) A T- section of a beam as shown in Fig.2 is subjected to a vertical shear force of 100kN. Calculate the shear stress at the neutral axis and at the junction of the web and the flange. Moment of inertia about the horizontal neutral axis is 0.0001134m4.

Fig.2

11M

Unit – IV

7. a) Derive differential equation for deflection of beam. 7M b) A beam of length 5m and of uniform rectangular section is simply supported at its

ends. It carries a uniformly distributed load of 9kN/m run over the entire length. Calculate the width and depth of the beam if permissible bending stress is 7N/mm2 and central deflection is not to exceed 1cm.

8M

8. A beam of length 6m is simply supported at its ends and carries two point loads of 48kN and 40kN at a distance of 1m and 3m respectively from the left support. Find: i. Deflection under each load ii. Maximum deflection iii. The point at which maximum deflection occurs Given E = 2x105 N/mm2 and I = 85X106 mm4.

15M

Unit – V

9. a) Derive expression for longitudinal and hoop stresses in thin cylinder. 5M b) A hollow cast iron column, whose outside diameter is 200mm and has a thickness of

20mm is 4.5m long and is fixed at both ends. Calculate the safe load by Rankine formulas using a factor of safety of 2.5. Find the ratio of Euler to Rankine loads. E=1 x 105N/mm2, Rankine constant a =1 /1600 for hinged ends and ςc=550N/mm

2.

10M

10. a) Derive the expression for circumferential and radial stresses in the wall of thick cylinder (Lames equation).

10M

b) A 2m long column has a square cross section of side 40mm. taking the factor of safety as 4; determine the safe load for the end conditions: i. Both ends are hinged ii. Both ends are fixed Take E= 210GPa.

5M




SIGNALS AND SYSTEMS (Electronics and Communication Engineering)



Unit – I

1. a) What are the different types of representation of discrete time signals? Represent a sequence in all types.

7M

b) Determine whether the following discrete time signals are periodic or not:

i. 2 2

sin cos3 5

n nx n

ii. 2j n

x n e

8M

2. a) The input and impulse response to the system are given by:

1x t u t , 3h t u t Determine output of the system graphically.

8M

b) Verify the Parseval’s theorem for energy signal 4 .tx t e u t

7M

Unit – II

3. a) State the Dirichlet’s conditions for Fourier series. 4M b) What are the types of symmetry present in waveforms? Explain each and how does it

helpful in simplifying the calculations. A system produces an output of ty t e u t

for an input of 2tx t e u t . Determine the impulse response of the system.

11M

4. a) Check whether the following system is linear, Time invariant, Casual and Memory less or not:

2 2y t at x t bt x t

8M

b) Obtain the exponential Fourier series for the signal:

0

2

A for tx t

A for t

7M

Unit – III

5. a) Obtain the Fourier Transform of the following functions: i. Signum Function ii. Rectangular pulse

8M

b) What is Hilbert transform? State and prove the properties of Hilbert transform.

7M

6. a) Explain about filter characteristics of linear systems. 6M b) Find the Fourier transform of the following:

i. 2 cos5te t u t

ii. 3te u t

iii. 2 21/x t a t

9M

Cont…2

:: 2 ::

Unit – IV

7.

a) Use the convolution theorem of Laplace transform to find 1 2y t x t x t where

1x t and 2x t are given below:

i. 1 cos4x t t u t and 2 sin 2x t t u t

ii. 31tx t e u t and 2 2x t u t

8M

b) Using Laplace Transform, solve the following differential equation:

2

26 8 16 t

d y t dy ty t e

dt dt

. Neglect initial conditions.

7M

8. a) Using initial value and final value theorem, find the initial and final value of the system with the transfer function.

i.

7 10

2

sX s

s s

ii.

22 3

5 62

sX s

s s

8M

b) Determine the Laplace Transform, ROC, and the location of poles and zeros of X s for the signal:

i. 0jw tx t e u t

ii. sin 3x t t u t

7M

Unit – V

9. a) With the help of graphical example, state and prove sampling theorem for band-limited signals.

8M

b) Find the z-transform and ROC of x z for 3 5 / 7 2 1/ 3n n

x n u n u n . Also

find pole-zero location.

7M

10. a) State and prove initial value theorem and final value theorem of z-transforms. 7M

b) Find the inverse z-transform of

1

1 1

3

1 1 2

zx z

z z

i. If ROC; 2z

ii. If ROC; 1z

iii. If ROC; 1 2z

8M




RANDOM SIGNALS AND STOCHASTIC PROCESSES (Electronics and Communication Engineering)



Unit – I

1. a) List and explain properties of conditional distribution. 7M b) Define central moment, variance and skew.

8M

2. a) Define characteristic function and moment generating function. 7M b) Let , ,x y z be independent, identically distributed random variables, each with density

function 56f x x for 0 1x , and 0 elsewhere. Find the distribution and density functions of the maximum of ,x y and z .

8M

Unit – II

3. a) Show that the characteristic function and probability density function of a random variable forms a Fourier transform pair. State the central limit theorem.

8M

b) Two complex random variables are defined as 1 1 1Z X jY and 2 2 2Z X jY :

i. Find the covariance between 1Z and 2Z

ii. State the conditions when 1Z and 2Z are statistically

7M

4. Consider the function ,f x y defined as

Projection of ,f x y on the x-y-plane:

1 10 0

2 2

1 12 0 1

2 2

1 1, 4 1 0

2 2

1 13 1 1

2 2

0 otherwise

c for x and y

c for x and y

f x y c for x and y

c for x and y

i. Find the value of ‘c’ such that ,f x y is a valid joint pdf ii. Find the expected value of ‘ x ’ i.e. E* x ]=? iii. Find the expected value of ‘ y ’ i.e. E* y ]=?

15M

Cont…2 :: 2 ::

Unit – III

5. a) Define statistical independence. Explain first order stationery process. 7M

b) Show that random process )cos()( 0 tAtX is wide sense stationary if A and 0

are constants and is uniformly distributed over 0,2 .

8M

6.

a) Given two random processes X t and Y t . Find an expression for auto correlation

function of W t X t Y t , if

i. X t and Y t are correlated

ii. X t and Y t are uncorrelated

iii. X t and Y t are uncorrelated with zero mean

8M

b) Prove that for a Gaussian random process x t (with mean zero), if it is WSS, it implies

that x t is also Strict Sense Stationary (SSS) process.

7M

Unit – IV

7. a) Consider the auto-correlation function

0 1 / ,0,

xxR A T T T

otherwise

We assume 00, 0T A const and .

i. Find the Power Spectral Density (PSD) xxS w of the random process

ii. Plot xxR and xxS w

7M

b) Consider a Gaussian process x t with mean zero and variance one.

i. Find the Power Spectral Density (PSD) xxS w

ii. Show that PSD and auto-correlation function (ACF) xxR T of x t both are Fourier transform pair

8M

8.

a) Find the power of the following random process, 0 0cos ,x t A w t where 0A ,

0w are constant and is uniformly distributed 0,2

. Also check, the stationarity of

the process.

7M

b) Consider two Gaussian process x t and y t with mean 1m , 2m and variance 1v , 2v respectively.

i. Find the cross Power Spectral Density (PSD) xyS w and yxS w

ii. Show that cross PSD function xyS w or yxS w and cross-correlation function

xyR T or yxR T both are Fourier transform pair.

8M

Unit – V

9. a) Discuss any two types of noise, giving two special characteristics about each type. 8M

b) For a sinusoidal process cosX t t , whose phase angle is uniformly

distributed over 0,2 , find the power spectral density. Draw your conclusion about how the power of the process is distributed.

7M

10. a) Define the terms: i. White Noise ii. Thermal Noise iii. Autocorrelation function iv. Power density spectrum of white noise

8M

b) What methods are used for mathematical modelling of noise in electronics and communication circuits?

7M




ELECTRONIC CIRCUIT ANALYSIS (Electronics and Communication Engineering)



Unit – I

1. a) Calculate Av, AI, Ri, and Ro for single stage CE Amplifier using h-parameter model. 9M b) Explain different methods of coupling with frequency response.

6M

2. a) State and prove Millers Theorem. 9M b) For the passive RC low pass filter:

i. Determine the mathematical expression for the phase angle Ө between Vo and Vi ii. Calculate the break frequency iii. Calculate phase angle Ө at f=100Hz, 1KHz, 2KHz, 5KHz, 10KHz. iv. Sketch the phase angle versus frequency plot using the results obtained in part III

6M

Unit – II

3. a) Explain hybrid-π parameters for CE configuration. 9M b) A BJT has gm=38m , rb’e=5.9kΩ, hie=6kΩ, rbb’=100Ω, Cb’c=12pF, Cbé=63pF and hfe=224 at

1kHz. Calculate α and β cutoff frequencies and fT.

6M

4. a) Derive the equation for CE Short-circuit current gain obtained with the hybrid-π model.

10M

b) Explain gain-bandwidth product of the CE transistor in hybrid-π model. 5M

Unit – III

5. a) Draw the basic four feedback topologies. Derive the expression for transfer gain of an amplifier with feedback.

9M

b) The circuit given below has an overall trans-conductance gain of -1mA/V and desensitivity of 50. If hfe=150, hie=1K, RS=1K and RL=4K, find: i. transconductance gain without feedback ii. AVf iii. Rif

Fig.1

6M

Cont…2

::2::

6. a) Explain the operation of RC phase shift oscillator using FET and derive the expression for output frequency.

11M

b) An amplifier with open loop voltage gain AV = 1000 100 and bandwidth BW = 250KHz is available. It is necessary to have an amplifier whose voltage gain varies by no more than 0.1%: i. Find the amount of feedback to be introduced ii. Find gain with feedback iii. Find the bandwidth of amplifier with feedback

4M

Unit – IV

7. a) Derive the percentage efficiency for class B power amplifier. 9M b) Explain about thermal stability and condition for thermal stability.

6M

8. a) Explain the operation of push-pull amplifier. 8M b) For a class B amplifier providing a 20V peak signal to a 16Ω load and a power supply of

VCC=30V; Determine the input power, output power and circuit efficiency.

7M

Unit – V

9. a) What are tuned amplifiers? Explain the classification of small signal tuned amplifiers. 7M b) Draw a neat circuit diagram of inductively coupled single tuned amplifier and explain

its working.

8M

10. a) Explain the working of double tuned amplifier with the help of circuit diagram. 8M b) A single tuned RF amplifier uses a transistor with an output resistance of 50K, output

capacitance of 15 pF and input resistance of next stage is 20K. The tuned circuit consists of a capacitance of 47pF in parallel with a series combination of an inductance of 1mH and a resistance of 2 Ω. Calculate: i. Resonant frequency ii. Effective Q iii. Bandwidth of circuit

7M




DATABASE MANAGEMENT SYSTEMS (Information Technology)



Unit – I

1. a) What is Data Model? Explain about Relational Model in detail. 9M b) Explain various functions of DBA.

6M

2. a) What an attribute of a relation tells? Define the following terms with suitable example: i. Derived attribute ii. Primary Key attribute iii. Multivalued Attribute

6M

b) Define relationship and relationship set. Explain key constraint and participation constraint with an example.

9M

Unit – II

3. a) Explain Left outer join, right outer join and full outer join with examples. 6M b) Consider the set of schema:

Student(snum: integer, sname: string, major: string, level: string, age: integer) Class(name: string, meets at: string, room: string, fid: integer) Enrolled(snum: integer, cname: string) Faculty(fid: integer, fname: string, deptid: integer). Write the SQL queries for the following: i. Find the names of all Juniors (level = JR) who are enrolled in a class taught by

‘I.Teach’. ii. Find the age of the oldest student who is either a History major or enrolled in a course

taught by ‘I.Teach’. iii. Find the names of all classes that either meet in room R128 or have five or more

students enrolled. iv. Find the names of all students who are enrolled in two classes that meet at the same

time.

9M

4. a) Explain the importance of Triggers in active databases with examples. 8M b) How null values are treated in the logical connectives? Explain.

7M

Unit – III

5. a) Why Normalization? Which Normal Form is mostly acceptable for Database Design? Explain with an example.

6M

b) Consider a Relation R(A,B,C,D,E,F,G) and a set of FD’s as follows: BC->A, BC->E, A->F, F->G, C->D, A->G. Determine the following: i. Determine Candidate Key ii. Decompose R into 3NF

9M

6. a) Explain the problems related to decomposition. 6M b) Explain 5NF with an example.

9M

Unit – IV

7. a) What are the anomalies that arise due to Interleaved Execution? 7M b) What is a deadlock and explain strategies to prevent deadlocks. 8M

Cont…2

:: 2 ::

8. a) Explain View serializability and conflict serializability. 6M b) In Time stamp-based concurrency control transactions are assigned time stamp at the

startup. How it is used to ensure serializability? How does Thomas Write Rule improve concurrency?

9M

Unit – V

9. a) Explain Tree-Based Indexing in detail. 9M b) Explain Fixed-Length and Variable-Length records with example.

6M

10. a) Explain the Insertion, deletion of nodes in B+ tree with examples. 6M b) Explain first four RAID Levels in detail. 9M

Hall Ticket No: Question Paper Code: A3010



ENVIRONMENTAL SCIENCE (Common to Electronics and Communication Engineering & Civil Engineering)



Unit – I

1. a) Explain the multidisciplinary nature of environmental science. 8M b) Discuss the impacts of over exploitation of mineral resources.

7M

2. a) Summarize the role of an individual in conservation of natural resources. 8M b) Discuss the effects of modern agriculture techniques. 7M

Unit – II

3. a) Explain the concepts of food chain and food web. 8M b) Discuss in detail about the forest ecosystem.

7M

4. a) Define biodiversity and explain threats to biodiversity. 8M b) What is conservation of biodiversity in situ and ex-situ conservation of biodiversity? 7M

Unit – III

5. a) Discuss the causes, ill effects and remedial measures of air pollution. 8M b) Write a summary on municipal solid waste management.

7M

6. a) Discuss the disaster management in case of floods and cyclones. 8M b) Write a brief note on rain water harvesting. 7M

Unit – IV

7. a) Explain the concept of clean development mechanism. 8M b) Discuss briefly about various ISO 14000 standards.

7M

8. a) Explain in detail about the various applications of nanotechnology. 8M b) Write short notes on:

i. Carbon foot print ii. Carbon sequestration

7M

Unit – V

9. a) Discuss about Indian forest act and briefly mention about its salient features. 8M b) Discuss in detail about environmental ethics.

7M

10. a) Discuss how NGO’s are creating environmental activities in India. 8M b) What is meant by Environmental Impact Assessment and state its importance. 7M

Hall Ticket No: Question Paper Code: A3102



BUILDING MATERIALS AND CONSTRUCTION (Civil Engineering)



Unit – I

1. a) Mention the properties of a good building stone and discuss briefly. 7M b) Classify different types of stones and briefly explain each type.

8M

2. a) Differentiate between clamp burning and kiln burning. 7M b) Discuss the various methods of manufacture of bricks. 8M

Unit – II

3. a) Illustrate the cross section of a tree. 8M b) Explain the Field tests for cement.

7M

4. a) Describe the types of knots and shakes. 8M b) Explain why aluminum is an important building material in economically advanced

countries. 7M

Unit – III

5. a) Explain the combined strap and mat footings. 8M b) What are the inspections to be done during the construction of brick walls?

7M

6. a) Explain stretcher bond and header bond with neat sketch. 7M b) List out the various types of stone masonry and Explain briefly about Ashlar masonry. 8M

Unit – IV

7. a) List out the various types of Flooring. 7M b) Explain the construction of Concrete flooring.

8M

8. a) Explain in detail about Queen post truss with neat sketch. 8M b) Explain briefly about different types of windows. 7M

Unit – V

9. a) Explain the ingredients with their functions of the paint. 8M b) Write the causes and effects of dampness.

7M

10. a) Describe about the distempering and white washing. 8M b) Explain the purposes and methods of underpinning. 7M




NETWORK ANALYSIS (Electrical and Electronics Engineering)



Unit – I

1. a) Obtain expression for Inductance of a coil. 5M b) Three inductances LA = 9H, LB = 4H and LC = 16H are connected in series while the first

two coils are in series addition having a coupling coefficient of 0.5 while the second and third coil are in series opposition with a coupling coefficient of 0.6. Determine the equivalent inductance and derive the formula.

10M

2. a) Obtain expressions for half power frequencies in terms of circuit elements R, L, C for a series resonant circuit.

7M

b) For a series circuit R=28.8Ω, L=0.024H and C=0.008μF. Determine the following: i. Resonant frequency ii. Half power frequencies iii. Q factor iv. Bandwidth

8M

Unit – II

3. a) Derive the relation between line and phase voltages and currents in balanced delta - delta connected systems.

7M

b) A balanced abc sequence star connected source with Van = 100∠ 100 V is connected to a

Δ connected balanced load (8+j4) Ω per phase. Calculate the phase and line currents.

8M

4. For the unbalanced circuit shown in Fig.1 find: i. The line currents ii. The total complex power absorbed by the load

Fig.1

15M

Unit – III

5. a) A series RC circuit has R=1Ω, C=0.5F and is excited by v=10e-t with zero initial charge. Find expression for i(t).

8M

b) Define time constant of RL circuit. Find the current at one time constant for a series RL circuit excited by 100V with R=10Ω and L=1H.

7M

Cont…2

:: 2 ::

6. a) Find the response of RC network with sinusoidal excitation using Laplace transform method.

5M

b) The circuit shown in Fig.2 consists of resistance, inductance and capacitance in series with a 200V constant source. When the switch is closed at t=0. Find the transient current using differential equation approach.

Fig.2

10M

Unit – IV

7. a) Mention the disadvantages of constant K filter. 5M b) Design an m-derived ∏ section high pass filter with a cut off frequency fc=10KHZ,

RK=600Ω and f∞=8KHZ.

10M

8. a) Write short notes on symmetrical bridged T- attenuator. 7M b) Design a T-attenuator pad to give an attenuation of 20db. The characteristic resistance

of 500Ω.

8M

Unit – V

9. a) Write the procedure to draw locus diagram. 5M b) Draw the locus diagram of a series RC circuit with:

i. R Variable ii. C Variable

10M

10. a) Draw the locus diagram of a series RLC circuit with L and C varying. 5M b) A series circuit consisting of R=250Ω, L=0.25H and C=9µF is connected to a variable

frequency supply of voltage of 120V. If the frequency is varied through 30 to 70Hz, draw the locus diagram of current. Determine the current and power factor at 30 and 70Hz.

10M




ELECTRO MAGNETIC FIELDS (Electrical and Electronics Engineering)



Unit – I

1. a) Derive the inverse square law related to force between two charged particles. 6M b) Define electric field intensity. Find E at point (1, 1, 1) caused by four identical 3 nano

coulomb charges located at p1(1, 1, 0), p2(-1, 1, 0), p3(-1, -1, 0) and p4(1, -1, 0).

9M

2. a) Define electric dipole and dipole moment. Derive the expression for electric potential due to dipole.

9M

b) Derive the relationship between E and V.

6M

Unit – II

3. a) Write the relation between Magnetic flux density B and magnetic flux φ and magnetic field intensity H . Also show that . 0.B

6M

b) Using Biot-Savart’s Law, obtain an expression of magnetic field intensity H at a point due an infinite sheet of current.

9M

4. a) State and explain Ampere’s circuital law. Also derive expression for it in differential form. 7M b) Using Ampere’s Circuital law, derive the expression for the magnetic field intensity at all

regions in an infinitely long coaxial transmission line.

8M

Unit – III

5. a) Find the capacitance of parallel plate capacitor using concept of capacitance and also derive the continuity equation of current.

9M

b) A uniform solenoid 100 mm in diameter and 400mm long has 100 turns of wire and a current of 3amps. Find the magnetic field at the centre of the axis of the solenoid.

6M

6. a) Determine self inductance of a toroid. 7M b) Derive expression for energy stored and energy density in a magnetic field.

8M

Unit – IV

7. a) Explain Lorentz force equation and scalar magnetic potential and its limitations. 7M b) A charged particle of mass 2 kg and charge 3 C starts at a point (1,-2,0) with velocity

4ax+3azm/s in an electric field of intensity E=12ax+10ayV/m. At the time t=1sec determine: i. Acceleration ii. Velocity iii. Kinetic energy iv. Position of particle

8M

8. a) Derive the expression for vector magnetic field A from Biotsavart’s law formula. 7M b) Given magnetic vector potential A=10sinθ aθ in spherical coordinates, find the flux

density at (2,π/2,0). 8M

Unit – V

9. a) Obtain the Differential form of Faraday’s Laws of electromagnetic induction. 8M b) Obtain the expression for dynamically induced EMF.

7M

10. a) List all the Maxwell’s equations in differential and integral forms for static fields and time varying fields.

8M

b) A capacitor has a capacitance of 2.5 pico farads. Find the displacement current at t=0, if a voltage 10sin150πt is applied to it.

7M




METALLURGY AND MATERIAL SCIENCE (Mechanical Engineering)



Unit – I

1. a) Show that FCC and HCP crystals have the same atomic packing factors. 7M b) Explain Tilt boundaries and Twin boundaries with neat sketches.

8M

2. a) What are solid solutions? Explain Hume Rothery rules for formation of solid solutions. 7M b) Explain the effect of alloying elements on properties.

8M

Unit – II

3. a) Explain Gibb’s phase rule and Lever rule. 6M b) Sketch and explain phase diagram for binary eutectic alloy formed by partially soluble

elements in solid state.

9M

4. a) What is an invariant reaction and also explain invariant reactions in Fe-Fe3C system. 7M b) Explain the equilibrium phases in Fe-Fe3C system.

8M

Unit – III

5. a) Explain the properties of various types of plain carbon steels. 6M b) Give composition, properties and uses of:

i. White cast iron ii. Malleable cast iron

9M

6. a) Explain possible transformations that involves in austenite decomposition. 8M b) How does annealing differ from normalizing?

7M

Unit – IV

7. a) Write the classification of copper alloys. Also write general composition, properties of alpha brasses.

7M

b) Write composition and properties of Al-Cu alloys and Al-Zn alloys.

8M

8. a) Write the composition of maraging steels also explain the heat treatment cycle. 7M b) List and explain classification of high temperature alloys.

8M

Unit – V

9. a) Explain the classification of ceramics based on their composition with examples. 8M b) State briefly the different varieties of glasses.

7M

10. a) Explain physical and chemical properties of ceramics. 6M b) Write a brief note on carbon – carbon composite. 9M




ELECTRICAL MACHINES-I (Electrical and Electronics Engineering)



Unit – I

1. a) Derive the e.m.f equation of a dc generator. 7M b) The armature of a 2 pole, 200V generator has 400 conductors and runs at 300rpm.

Calculate the useful flux per pole. If the number of turns in each field coil is 1200, what is the average value of the emf induced in each coil on breaking the field, if the flux dies away completely in 0.1s?

8M

2. a) With a neat diagram explain the process of commutation in DC machine. 8M b) The brushes of 4 pole, 48 KW, 400V wave connected D.C generator are shifted from the

geometrical neutral axis by 4 mechanical degrees. If the generator has 720 conductors and delivers full load current find: i. Demagnetizing ampere turns/pole ii. Cross magnetizing ampere turns/pole

7M

Unit – II

3. a) What is critical field resistance and critical speed? How do you calculate the critical field resistance, practically?

7M

b) The following table give the open circuit characteristic of a d.c. shunt generator running at 300rpm: Armature voltage(v): 0 2 3 4 5 6 7 Field current(A): 7.5 92 132 162 183 190 212 i. Determine the voltage to which machine will excite, if field circuit resistance is

40ohms and runs at 375rpm ii. What additional resistance would have to be inserted in the field circuit to reduce the

voltage to 200v at 375rpm iii. Without additional resistance determine the load current supplied by the generator

when the terminal voltage is 200v. Ignore armature reaction and assume speed to be constant. Armature resistance is 0.4 ohms

8M

4. a) What are the reasons for the parallel operation of DC generator? What are the conditions necessary for parallel operation of DC shunt generators?

7M

b) The terminal voltage of a shunt generator G1 falls from 550V at no load to 470V when delivering a current of 600A; for a second generator G2, the figures are 505V at no load and 470V at 400A. When connected in parallel generators supply a total load of 400KW. Assuming that the voltage/power characteristics are linear, determine the common bus voltage and the current delivered by each machine.

8M

Unit – III

5. a) Explain the principle of working of a d.c. motor. 7M b) A 200V d.c. series motor runs at 1000 rpm and takes 20A. Combined resistance of

armature and field is 0.4Ω. Calculate the resistance to be inserted in series with so as to reduce the speed to 800 rpm., assuming torque to vary as square of the speed and linear magnetization curve.

8M

Cont…2

:: 2 ::

6. a) Explain the Hopkinsons’s Test in DC machines. 8M b) A 250V DC shunt motor on no load runs at 1000 rpm and takes 5 A. The total armature

and shunt field resistance are 0.2Ω and 250 Ω respectively. Calculate the speed when loaded and taking a current of 50 A, if the armature weakens the field by 3%.

7M

Unit – IV

7. a) With neat phasor diagram explain the operation of transformer with capacitive load and inductive load.

7M

b) The voltage ratio of single phase 50Hz transformer is 5000/500V at no-load. Calculate the number of turns in each winding, if the value of the flux in the core is 7.82mWb.

8M

8. a) Derive the condition for maximum efficiency of a transformer. 7M b) In a transformer, the core loss is found to be 52watts at 40hz and 90watts at 60hz, both

losses being measured at the same peak flux density. Compute the hysteresis and eddy current losses at 50hz.

8M

Unit – V

9. a) Distinguish between core and shell type of a three phase transformers. 7M b) A 120 KVA, 6000/400 V, y/y, 3- ϕ, 50Hz transformer has an iron loss of 1600 W. The

maximum efficiency occurs at ¾ full load. Find the efficiency of transformer at: i. Full load and 0.8 power factor ii. Half load and unity power factor iii. The maximum efficiency

8M

10. a) Explain about Scott connection of a transformer. 7M b) What are the purposes of three winding transformer? And hence explain its equivalent

circuit in detail. 8M




MECHANICS OF FLUIDS (Mechanical Engineering)



Unit – I

1. a) Explain mass density, specific weight, vapour pressure and compressibility. 7M b) Determine the intensity of shear of oil having viscosity 1.2poise and is used for lubrication

in the clearance between a 10 cm diameter shaft and its bearing. The clearance is 1.0 mm and shaft rotates at 20rpm.

8M

2. a) State and explain briefly different types of manometers. 7M b) What are pressure gauges? Explain briefly. 8M

Unit – II

3. a) Explain the classification of flows. 7M b) The stream function for a two-dimensional flow is given by Ψ= 2xy, calculate the velocity

at the point P(2, 3). Find the velocity potential function.

8M

4. a) Derive an expression for conservation of mass equation in three dimensional form for steady state condition.

7M

b) A garden hose attached with a nozzle is used to fill a 0.004m3 bucket. The inner diameter of the base is 2cm and it reduces to 0.8cm at the nozzle exit. If it takes 50secs to fill the bucket of water. Determine: i. The volume and mass flow rates of water through the hose ii. The average velocity of water at the nozzle exit

8M

Unit – III

5. a) Derive an expression for Euler’s equation of motion. 7M b) Water is flowing through a pipe having diameter 300mm and 200mm at the bottom and

upper end respectively. The intensity of pressure at the bottom end is 24.525N/cm2 and the pressure at the upper end is 9.81N/cm2. Determine the difference in datum head if the rate of flow through pipe is 40 lit/s.

8M

6. a) Derive an expression for loss of head due to friction in pipes. 8M b) An orifice of diameter 150mm is fitted at the bottom of a boiler drum of length 8m and of

diameter 3metres. The drum is horizontal and contains water upto a height of 2.4m. Find the time required to empty the boiler. Take Cd = 0.6.

7M

Unit – IV

7. a) Explain the boundary layer approximation procedure. 5M b) Air at 19oC flow through a wind tunnel section of 30cm in diameter and 30cm in length.

The flow through the test section is uniform as possible. The wind tunnel speed ranges from 1 to 8m/s and the design is to be optimized for an air speed of V=4m/s. Estimate the displacement thickness and velocity at the exit.

10M

Cont…2

::2::

8. a) Compare laminar and turbulent boundary layer. 6M b) Air at 20oC flows at V=10m/s over a smooth flat plate of length L=1.52m:

i. Compare the laminar and turbulent boundary layer thickness ii. Compare the laminar and turbulent skin friction coefficient

9M

Unit – V

9. a) Define Mach number. What is the significance of Mach number in compressible fluid flows?

7M

b) An aircraft is flying at a cruising speed of 250m/s at an altitude of 5000m, when the atmospheric air temperature is 255.7 K. The ambient air is first decelerated in a diffuser before it enters the compressor. Assuming both the diffuser and the compressor to be isentropic. Determine: i. Stagnation pressure at the compressor inlet ii. Compressor work required per unit mass. If the stagnation pressure ratio is 8

8M

10. a) Argon flows through a tube such that its initial conditions are p1=1.7Mpa, ρ1=18 kg/m3and

its final condition is p2=248kpa, T2=400 K. Estimate: i. The initial temperature ii. Final density iii. Change in enthalpy iv. Change in entropy of the gas

8M

b) A pitot tube is pointed into an air stream which has a pressure of 105kpa. The differential pressure is 20kpa and the air temperature is 20oC. Calculate the air speed.

7M




THERMODYNAMICS (Mechanical Engineering)

Date: 23 May, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) What is the difference between work transfer and heat transfer? 7M b) During a particular process, the specific heat of the working fluid comprising a system is

given by the relation C = (0.4 + 0.004 T) kJ/kg K, where T is the absolute temperature in kelvin. What amount of heat is required to be supplied to this fluid system to raise its temperature from 298K to 398 K? Also determine the mean value of specific heat if the mass of the system is 5 kg.

8M

2. a) Explain reversible and irreversible process and what are the causes for irreversible process.

8M

b) A mass of gas is compressed in a quasi-static process from 80kPa, 0.1m3 to 0.4MPa, 0.03 m3. Assuming that the pressure and volume are related by pvn = constant, find the work done by the gas system.

7M

Unit – II

3. a) Explain joule’s experiment. 7M b) A fluid is confined in a cylinder by a spring loaded, frictionless piston so that the pressure

in the fluid is a linear function of the volume p= a+bV. The internal energy of the fluid is given by U = 34+3.15pV. Where U is in kJ, p is in kPa and V in m3. If the fluid changes from an initial state of 170kPa, 0.03 m3 to a final state of 400kPa, 0.06m3, with no work other than done on the piston, find the direction and magnitude of the work and heat transfer.

8M

4. a) Deduce the steady-flow energy equation for reciprocating compressor, turbine and nozzle.

7M

b) 100KJ of heat is supplied to a system at a constant volume. The system rejects 90KJ of heat at constant pressure and 20KJ of work is done on it. The system is brought back to original state by adiabatic process? Determine the adiabatic work and the values of internal energy at all end states if initial value is 110 KJ.

8M

Unit – III

5. a) Show that the efficiency of all reversible heat engines operating between the same temperature levels is the same.

7M

b) A heat pump is run by reversible heat engine operating between reservoirs at 8000C and 50oC. The heat pump working on Carnot cycle picks up 15kW heat from reservoir at 10oC and delivers it to a reservoir at 50oC. The reversible engine also runs a machine that needs 25kW. Determine the heat received from highest temperature reservoir and heat rejected to reservoir at 50oC.

8M

Cont…2

::2::

6. a) Discuss the following:

i. Significance of clausius inequality ii. Show that entropy of universe is increasing iii. Available and unavailable energy

9M

b) Calculate the entropy change of the universe as a result of the following processes: A copper block of 600gm mass and with Cp of 150J/K at 100

oC is placed in a lake at 8oC. The same block, at 8oC, is dropped from a height of 100m into the lake. Two such blocks, at 100 and 0oC are joined together.

6M

Unit – IV

7. a) Draw the phase equilibrium diagram for pure substance on h-s plot with relevant constant property lines and why the isobars lines are diverges from one another?

7M

b) Steam initially at 1.5MPa, 300oC expands reversibly and adiabatically in a steam turbine to 40oC. Determine the ideal work output of the turbine/kg of steam.

8M

8. a) Explain separating and throttling calorimeter with neat sketch. 7M b) Steam expands isentropically in a nozzle from 1MPa, 250˚C to 10kPa. The steam flow rate

is 1kg/s. Find the velocity of steam at the exit from the nozzle, and the exit area of the nozzle. Neglect the velocity of the steam at the inlet to the nozzle.

8M

Unit – V

9. a) Explain with P-v and T-s plot for same compression ratio and heat rejection. Which cycle is highest efficiency (Otto, Diesel and Dual cycle)?

7M

b) In an air standered Otto cycle the compression ratio is 7 and compression begins at 35oC, 0.1MPa. The maximum temperature of the cycle is 1100oC. Find: i. The work done per kg of air ii. The cycle efficiency iii. The mean effective pressure of the cycle

8M

10. a) Explain Bell- Coleman cycle with P-v and T-s diagram. 8M b) Explain simple Rankine cycle with h-s plot. 7M


(AUTONOMOUS)

Four Year B. Tech III Semester Supplementary Examinations, May - 2017


MACHINE DRAWING

(Mechanical Engineering)


Answer TWO questions from Unit - I

Unit – II is compulsory

Unit – I

1. Draw the following thread forms:

i. Square thread

ii. Whitworth thread

iii. Acme thread

15M

2. Draw the sectional front view and top view for the double riveted zig-zag lap joint with thickness

9mm.

15M

3. Draw sectional front view and right side view of split muff coupling with shaft diameter of

30mm.

15M

Cont…2

:: 2 ::

Unit – II

4. Assemble all parts of the screw jack, shown in Fig.1 and draw the following views:

i. Half sectional view from the front

45M

ii. View from above

Fig.1




FLUID MECHANICS (Civil Engineering)



Unit – I

1. a) A thin plate is placed between two flat surfaces h cm apart such that the viscosity of liquids on the top and bottom of the plates are μ1and μ2 respectively. Determine the position of the thin plate such that the viscous resistance to uniform motion of the thin plate is minimum

8M

b) Two vertical glass tubes of bore 1mm and 2mm are introduced inside a liquid. The capillary rise of liquid in the two tubes indicates a difference 1.30cm in height between the two menisci. If the mass density of the liquid is 800kg/m3, estimate the surface tension of the liquid. Take angle of contact of the liquid with glass as zero.

7M

2. a) In Fig.1 if the pressure at the bottom of the tank is 200kN/m2, estimate the pressure gauge reading G.

Fig.1

7M

b) A certain fluid of specific gravity 0.8 flows upward through a vertical pipe. A and B are two points on the pipe, B being 0.3m higher than A. A U-tube mercury manometer is connected at points A and B. If the difference in pressure between A and B is 5kPa, find the difference in heights of the mercury column in the manometer.

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Unit – II

3. a) Explain the classification of fluid flow. 8M

b) A fluid flow field is given by 2 2 2 .V x yi y zj xyz yz k Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity at the point (2, 1, 3).

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4. a) Derive the three dimensional continuity equation. 7M b) The stream function for a two-dimensional flow is given by ψ = 2xy. Calculate the velocity

at the point P (2, 3). Find the velocity potential function Φ.

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Unit – III

5. a) Determine the hydraulic coefficients and derive the expression Cd = CvX Cc. 7M b) Find the head over a right angled V-notch if the discharge over it is 0.05m3/s. Take

Cd=0.6. If 2mm error was made in measuring this head, what is the corresponding error in the discharge?

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Cont…2

:: 2 ::

6. a) Explain the principle of venturimeter with a neat sketch. Derive an expression for the

discharge through a venturimeter. 8M

b) A hemispherical tank of diameter 4m contains water upto a height of 1.5m. An orifice of diameter 50mm is provided at the bottom. Find the time required by water: i. To fall from 1.5m to 1.0m ii. For completely emptying the tank Take Cd = 0.6.

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Unit – IV

7. a) With a neat sketch explain the growth of boundary layer over a flat plate. 7M b) Explain the concepts displacement thickness and momentum thickness applicable to

boundary layers.

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8. a) List and explain different types of drags. 7M b) Calculate the total drag, shear drag and the pressure drag exerted on 1m length of an

infinite circular cylinder which has a diameter equal to 30mm, air of density 1.236kg/m3 flowing past the cylinder with velocity 3.6m per minute. Take total drag coefficient equal to 1.4 and shear drag coefficient equal to 0.185.

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Unit – V

9. a) Write short notes on: i. Total Energy Line ii. Hydraulic Gradient Line iii. Moody’s chart

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b) Find the loss of head and power due to sudden enlargement of the horizontal pipe carrying water from a diameter of 240mm to 490mm. The flow is 0.4m3/s and pressure in smaller pipe is 145kN/m2. What is the pressure in larger pipe?

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10. a) Derive an expression for the loss of head due to: i. Sudden enlargement ii. Sudden contraction of a pipe

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b) Three reservoirs A, B and C are connected by a pipe as shown in Fig.2. Find the discharge into or from the reservoirs B and C if the rate of flow from reservoir A is 60litres/s. Find the height of water level in the reservoir C. Take f = 0.006 for all pipes.

Fig.2

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STRENGTH OF MATERIALS-I (Civil Engineering)

Date: 23 May, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) Define stress and strain. Write down the S.I. and M.K.S. units of stress and strain. 5M b) An axial pull of 35000N is acting on a bar consisting of three lengths as shown in Fig.1. If

the Young’s modulus = 2.1×105 N/mm2, determine: i. Stresses in each section ii. Total extension of the bar

Fig.1

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2. a) Define the terms: i. Resilience ii. Proof resilience iii. Modulus of resilience

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b) A tensile load of 60kN is gradually applied to a circular bar of 4cm diameter and 5m long. If the value of E = 2×105 N/mm2, determine: i. Stretch in the rod ii. Stress in the rod iii. Strain energy absorbed by the rod

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Unit – II

3. a) Define and explain the following terms: i. Shear force ii. Bending moment iii. Shear force diagram iv. Bending moment diagram

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b) A cantilever of length 2.0m carries a uniformly distributed load of 2kN/m length over the whole length and a point load of 3kN at the free end. Draw the S.F and B.M. diagrams for the cantilever.

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4. a) What are the different types of loads acting on a beam? Differentiate between a point load and a uniform distributed load.

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b) Draw the shear force and bending moment diagram for a simply supported beam of length 9m and carrying a uniformly distributed load of 10kN/m for a distance of 6m from the left end. Also calculate the maximum B.M. on the section.

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Cont…2

::2::

Unit – III

5. a) Define the terms: i. Bending stress in a beam ii. Neutral axis iii. Section modulus

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b) A beam is simply supported and carries a uniformly distributed load of 40kN/m run over the whole span. The section of the beam is rectangular having depth as 500mm. If the maximum stress in the material of the beam is 120N/mm2 and moment of inertia of the section is 7×108mm4, find the span of the beam.

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6. A rectangular beam 100mm wide and 250mm deep is subjected to a maximum shear force of 50kN. Determine: i. Average shear stress ii. Maximum shear stress iii. Shear stress at a distance of 25mm above the neutral axis

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Unit – IV

7. a) Write the deflection and slope expressions for simply supported beam with uniformly distributed load.

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b) A beam of uniform rectangular section 200mm wide and 300mm deep is simply supported at its ends. It carries a uniformly distributed load of 9kN/m run over the entire span of 5m. If the value of E for the beam material is 1×104N/mm2, find: i. The slopes at the supports ii. Maximum deflection

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8. a) Describe about conjugate beam method. 5M b) A cantilever of length 3m carries a uniformly distributed load of 80kN/m over the entire

length. If E = 2×105N/mm2 and I = 108mm4, find the slope and deflection at the free end using conjugate beam method.

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Unit – V

9. a) Derive the expression for stresses on a oblique plane when the member is subjected to direct stress in one plane.

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b) The stresses at a point in a bar are 200N/mm2 (tensile) and 100N/mm2 (Compressive) determines the resultant stress in magnitude and direction on plane inclined 600 to the axis of the major stress. Also determine the maximum intensity of shear stress in the material at the point.

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10. a) Explain in detail about maximum strain energy theory. 5M b) Determine the diameter of a bolt which is subjected to an axial pull of 9KN together with

a transverse of SF of 4.5KN using: i. Max. Principal stress theory ii. Max. Principal strain theory Given the elastic limit in tension= 225N/mm2 factor of safety=3 and Poisson’s ratio= 0.3.

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ELECTRICAL TECHNOLOGY (Mechanical Engineering)



Unit – I

1. a) Find the currents in the various branches of the given network shown in Fig.1.

Fig.1

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b) In the circuit shown in Fig.2, find the mesh currents.

Fig.2

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2. a) State and explain KVL and KCL with an example. 6M b) In the network shown in Fig.3, find resistance between the points A and B.

Fig.3

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Unit – II

3. a) State and explain super position theorem. 6M b) Determine the maximum power delivered to the load in the circuit shown below Fig.4:

Fig.4

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Cont…2

::2::

4. a) State and explain Norton’s theorem. 6M b) Determine the current through the branch AB using millman’s theorem.

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Fig.5

Unit – III

5. a) State and explain faradays laws of electromagnetic induction. 5M b) Derive the expression for E.M.F equation of a dc generator.

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6. a) Give the constructional features of D.C machine. 7M b) A 6-pole, lap connected 230 V shunt motor has 410 armature conductors. It takes 41 A

on full load. The flux per pole is 0.05 wb. The armature and field resistances are 0.1Ω and 230Ω respectively. Contact drop per brush=1 V. Determine: i. Speed of motor ii. Total Torque developed in the motor

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Unit – IV

7. a) With a neat sketch briefly explain the equivalent circuit diagram of a transformer. 7M b) Explain the procedure for conducting O.C and S.C test on transformer.

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8. a) Explain briefly about the losses in a transformer. 7M b) A 25KVA, 2000/200V, 50Hz transformer has maximum efficiency of 80% at full load. It’s

per unit resistance and impedance is 0.012 and 0.05 respectively. The no-load current is 4% of its full load current at 0.2 pf. Determine its efficiency and voltage regulation at half of the full load and at 0.8 pf lagging.

8M

Unit – V

9. a) Write the comparison between squirrel cage & slip ring induction motor. 8M b) A three phase, 4-pole, 50Hz induction motor supplies a useful torque of 159N-M.

Calculate at 4% slip: i. The rotor input ii. The motor input iii. The motor efficiency If fraction and windage loss is 500W and the stator losses equal to 1000W.

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10. a) What are the different types of starting methods for an induction motor? Explain any one method.

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b) A 20 HP, 4-pole, 25 Hz, three phase induction motor is taking 13000 watts from the lines. Core loss, stator copper loss and rotor copper loss are 450 watts, 900 watts and 600 watts. The mechanical losses are 150 watts. Determine: i. Power transferred from stator to rotor ii. Mechanical power developed by rotor iii. Mechanical power output iv. Efficiency v. Slip

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Question Paper Code : A3505 (AUTONOMOUS) B. Tech III ... · b) Write journal entries in the books...

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Transcript of Question Paper Code : A3505 (AUTONOMOUS) B. Tech III ... · b) Write journal entries in the books...