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Hall Ticket No: Question Paper Code : A2505

VARDHAMAN COLLEGE OF ENGINEERING

(AUTONOMOUS) B. Tech III Semester, End Semester Regular Examinations, November - 2015

(Regulations: VCE-R14) DISCRETE MATHEMATICAL STRUCTURES

(Common to Computer Science and Engineering & Information Technology) Date: 16 November, 2015 FN Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. a) Without using the truth table prove the following: i. [ ( )]p p p q p ii. ( )p q p q r p q r

7M

b) Prove that the following are valid arguments ( )p q r

p sq

s r

and

( )

( )

p q rr s

q sp

8M

2. a) Without using truth table show that (( ) ( ( ))) ( ) ( )P Q P Q R P Q P R is a tautology.

7M

b) Obtain the disjunctive normal form of: i. ( )P P Q , ii. ( ) ( )P Q P Q

8M

Unit – II 3. a) For A=1,2,3,4,let R and S be the relations on A defined by,

R = (1,2),(1,3),(2,4),(4,4) and S=(1,1),(1,2),(1,3),(2,3),(2,4). Find:

i. R∘S ii. S∘R iii. R2 iv. S3

8M

b) Draw the Hasse diagram representing the partial ordering (a, b) |a divides b on 1, 2, 3, 4, 6, 8, 12.

7M

4. a) Define the following terms and give an example for each: i. Function ii. Onto function iii. One-to-one function iv. Constant function

8M

b) Let A = 1, 2, 3, 4 and B = a, b, c, d. Determine whether the following functions from A to B are invertible or not: i. F = (1 , a), (2 , a), (3 , c), (4 , d) ii. G = (1 , a), (2 , c), (3 , d), ( 4 , d)

7M

Cont…2

::2::

Unit – III 5. a) Let G be the set of real numbers not equal to -1 and * be defined by a*b = a+b+ab. Prove

that (G, *) is an abelian group. 8M

b) Let f: (ZxZ, ⊕)→(Z,+) be the function defined by f(x,y) = x-y. [(ZxZ, ⊕) be the

abelian group where (a,b) ⊕(c,d) = (a+c,b+d) here a+c and b+d are computed using ordinary addition in Z and (Z,+) is a group of integers under ordinary addition] Prove that f is homomorphism onto Z.

7M

6. a) Define lattice. List out the properties of lattice. 5M b) Define and give an example for each:

i. Lattice homomorphism ii. Direct Product of Lattices

10M

Unit – IV 7. a) How many arrangements are there of all the letters in SOCIOLOGICAL?

i. In how many of the arrangements are A and G adjacent ii. In how many of arrangements are all vowels adjacent

7M

b) Prove that for all integers n, 0r if 1n r then 1( 1, ) ( , )

1nP n r P n r

n r

and find

the value of n so that 2 ( ,2) 50 (2 ,2)P n P n .

8M

8. a) Find the coefficient of x3 in (1+x+2x2)(1-2x)5. 7M b) How many integer between 1 and 300 are:

i. Divisible by at least one of 5, 6, 8 ii. Divisible by none of 5,6,8

8M

Unit – V 9. a) Find the generating function for the number of integer solutions to the equation

1 2 3 4 20c c c c , 1 2 3 4where 3 , 3 , 5 5 0 .c c c and c 7M

b) Find the general solution of the recurrence relation 3 0, 3n na a n

8M

10. a) Let G be simple graph with n vertices and m edges where m is at least 3. If 1 ( 1)( 2) 2,2

m n n prove that G is Hamiltonian. Is converse true.

7M

b) Define Euler circuits and Euler trails: i. Is there a graph with even number of vertices and odd number of edges that contain

an Euler circuit? Explain. ii. Is there a graph with odd number of vertices and even number of edges that contain

an Euler circuit? Explain.

8M



(AUTONOMOUS) B. Tech III Semester End Semester Regular Examinations, November - 2015

(Regulations: VCE-R14) OPERATING SYSTEMS

(Common to Computer Science and Engineering & Information Technology) Date: 18 November, 2015 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) Explain Operating system operations in operating systems. 7M b) Explain the types of system calls provided by the operating system.

8M

2. a) Explain the activities of process management and memory management. 8M b) What is operating system? Explain the different possible views. 7M

Unit – II

3. a) Explain Shortest job first scheduling algorithm. Consider the following processes with their burst times and arrival times given:

Process Arrival Time Burst Time P1 0 8 P2 1 4 P3 2 9 P4 3 5

Write the Gantt chart. Using Pre-emptive Shortest job first algorithm, calculate the average waiting time and average turnaround time.

8M

b) Explain the threading issues in multithreading.

7M

4. a) State Dining philosopher’s problem and give a solution using semaphores. 8M b) Define Semaphores? Explain two primitive semaphore operations. What are its

advantages? 7M

Unit – III

5. a) Define deadlock. List the necessary conditions for deadlock. 5M b) Consider the following snapshot of a system:

Process Current

allocation Maximum allocation

Resources available

A B C A B C A B C

P1 0 1 0 7 5 3

3 3 2 P2 2 0 0 3 2 2 P3 3 0 2 9 0 2 P4 2 2 1 2 2 2 P5 0 0 2 4 3 3

Using Banker’s algorithm, find: What is the content of the need matrix? Is the system in a safe state? Is request from p1=(1,0,2) and then request from p4=(3,3,0) can be granted or not?

Cont…2

10M

::2::

6. a) Given reference to the following pages by a program, 0,9,0,1,8,1,8,7,8,7,1,2,8,2,7,8,2,3,8,3. How many page faults will occur if the program has three page frames available to it and uses FIFO and LRU page replacement algorithms?

5M

b) Explain the following : i. Segmentation vs. paging ii. Logical address space vs. physical address space iii. Dynamic linking vs. dynamic loading iv. Internal fragmentation vs. external fragmentation v. Justify why paging is faster than segmentation

10M

Unit – IV

7. a) Explain the different directory structure. 8M b) Explain the three most important aspects of tertiary storage performance.

7M

8. a) Explain the different disk allocation methods. 9M b) Explain any two disk scheduling techniques with examples. 6M

Unit – V

9. a) Describe the access matrix model and explain its implementation for protection purpose.

10M

b) Briefly explain the revocation of access rights.

5M

10. a) Explain different types of system threats. 10M b) Distinguish between system protection and system security. 5M

Hall Ticket No: Question Paper Code: A2406



(Regulations: VCE-R14)

DIGITAL LOGIC DESIGN

(Common to Computer Science and Engineering, Information Technology, Electronics and Communication Engineering & Electrical and Electronics Engineering)

Date: 20 November, 2015 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) Differentiate between signed and unsigned representation of binary numbers with suitable examples.

5M

b) A four bit binary number is represented as A3 A2 A1 A0, where A0 is equal to the LSB. Obtain the Boolean expression in canonical and standard form that will produce HIGH, whenever, the binary number %2 = 0?

10M

2. a) Perform the following operations: i. (A123B+ 1200F)16 =( )10 ii. (11101010-10000000)2 =( )8 iii. (1111.129)10 =( )2 iv. (FFFF-10000)16 =( )8

10M

b) Write the Boolean expression for the schematic shown in below Fig.1.

Fig.1

5M

Unit – II

3. a) Design a combinational logic circuit to convert 4-bit binary to gray code numbers. i. Construct the truth-table ii. Simplify each output function using K-map and write reduced equations iii. Draw the resulting logic diagram

10M

b) Determine the minimum Sum-of-product (SOP) expression for ( , , , ) (0,2, 4,9,12,15) (1,5,7,10)F w x y z m d

5M

4. a) Simplify using K-map, (A, , , ) (2,3, 4,6,7,10,11,12)F B C D m 5M

b) Simplify the following Boolean Function by using tabulation method and find out all prime implicants and essential prime-implicants,

(A, , , ) (0, 2,3, 6, 7,8,10,12,13)F B C D m

10M

Cont…2

:: 2 ::

Unit – III

5. a) What is triggering a sequential circuit? Explain different ways of triggering. 5M b) Obtain State table, State diagram and state equation for the sequential circuit shown in

below Fig.2.

Fig.2

10M

6. a) Write the truth table of 3 bit gray to binary code conversion. Show the realization using 4:1MUXs.

5M

b) Design and show the Fig.3 realization of sequential circuit characterized by state diagram shown below. Apply state reduction and state assignment.

10M

Fig.3

Unit – IV

7. a) Explain with suitable logic diagram: i. Serial-in-serial out shift register ii. Parallel-in-parallel out shift registers

7M

b) Explain switch tail counter and ring counter in detail along with diagram and truth-table.

8M

8. a) Design a synchronous Mod-6 counter using clocked JK flip-flops sequence given is 0-2-3-6-5-1.

8M

b) Realize the Boolean expressions using 3 4 2 PLA’s: i)

1 ( , , ) (0,1,3, 4)F X Y Z m

ii) 2 ( , , ) (1, 2,3, 4,5)F X Y Z m

7M

Unit – V

9. a) What is finite state machine? Explain with an example. 7M b) Draw the block diagram for a divider that divides an 8-bit dividend by a 5-bitdivisorto give

a 3-bit quotient. The dividend register should be located when St=1. Draw state machine chart for the control unit.

8M

:: 3 ::

10. a) Differentiate between Mealy and Moore sequential circuits with suitable state diagrams. 6M b) Reduce the number of states in the following state table and tabulate the reduced state

table. Present

State Next State Output X=0 X=1 X=0 X=1

a f b 0 0 b d c 0 0 c f e 0 0 d g a 1 0 e d c 0 0 f f b 1 1 g g h 0 1 h g a 1 0

9M





DESIGN AND ANALYSIS OF ALGORITHMS

(Computer Science and Engineering)



Unit – I

1. a) Write the pseudo code for the four primary operations with respect to union. Find algorithm: i. Find (x) ii. Union (x, y) iii. Weighted union (x, y) iv. Collapsing find (x)

8M

b) Compute the time complexity for the below given functions using Master method: i. T(n) = 4T(n/2) + n ii. T(n) = 4T(n/2) + n2 iii. T(n) = 4T(n/2) + n3 iv. T(n) = 9T(n/3) + n2

7M

2. a) Explain the Big-Oh, Omega, and Theta notation used to represent time complexities with examples.

6M

b) Describe the DFS tree traversal. Traverse the graph given below using DFS traversal Indicate the order of the nodes visited.

Fig.1

9M

Unit – II

3. a) Write the algorithm for binary search and mention its applications. Mention the worst case, Best case performance, Average case performance.

8M

b) Apply Quick sort algorithm for the following array of elements and sort the elements. Take the element 28 from the list as the pivot element. 28, 32, 12, 5, 48, 13, 35, 11. Also discuss the complexity of the algorithm for worst case and best case.

7M

4. a) Differentiate between 0-1 knapsack and fractional knapsack with an example for each. 6M b) Explain the divide and conquer paradigm and illustrate Merge-Sort to sort elements in

ascending order. Derive the time complexity taken by the merge sort algorithm. 5 2 4 6 1 3 2 6.

Cont…2

9M

:: 2 ::

Unit – III

5. a) Apply all-pair shortest path algorithm to compute the shortest path for the following graph:

Fig.2

6M

b) Solve the travelling salesman Problem for the instance given using dynamic programming with the source vertex 1.

0 10 15 20 5 0 9 10 6 13 0 12 8 8 9 0

9M

6. a) Define principle of optimality with an example. 5M b) Apply dynamic programming algorithm to the following instance of the knapsack problem

Capacity W= 5 to find the optimal solution.

Item # Weight (Kg) Value (Rs.) 1 2 3 2 3 4 3 4 5 4 5 6

10M

Unit – IV

7. a) Explain explicit and implicit constraints with an example. 5M b) Let m=15 and w= 3, 5, 6, 7. Find all the possible sets of w that sum to m. Do this using

sum of subset. Draw the portion of state space tree that is generated.

10M

8. a) Define m-color decision problem and write an m-coloring algorithm using recursive backtracking schema.

10M

b) Generate a state space tree to find the optimal tour by applying branch and bound technique using Travelling salesman problem for the given graph below.

5M

Fig.3

Unit – V

9. a) Draw comparison tree for sorting four elements that is produced by the binary insertion method.

7M

b) How do you determine a problem is NP Hard or NP complete? Explain with examples.

8M

10. a) Define P, NP, NP-Hard and NP complete problems with examples. 9M b) Write a brief note on Cooks theorem. 6M





OBJECT ORIENTED PROGRAMMING THROUGH JAVA

(Common to Computer Science and Engineering & Information Technology)



Unit – I

1. a) Explain the three OOP principles that help to implement object oriented model. 6M b) What is an inner class? Write a program to demonstrate inner class. Discuss about

garbage collection.

9M

2. a) Compare the implementation differences in for loop and for each with suitable example. 5M b) i. Write a Java program to find largest and smallest number in an Array

ii. What is the difference between a String class and a StringBuffer class? Explain with an example

10M

Unit – II

3. a) What are the differences between method overloading and method overriding? 6M b) A Deemed University awards some grace marks to students who participate in the

national games. Therefore, total marks awarded = Exam_Marks + Sports_Grace_Marks. If total marks scored are greater than maximum marks then the final marks awarded will be equal to the maximum marks. An OO based implementation will contain a class called Results, which extends a class called Exam which itself extends a class called student it will also contain an interface called sports which is implemented by the Results class. The Results class will be responsible for computing the final marks scored by the students. Write a Java program along with an interactive driver class.

9M

4. a) Define package in Java and explain the categories of packages with suitable examples for each type.

9M

b) Write a program to illustrate the uses of final keyword in multilevel inheritance.

6M

Unit – III

5. a) Write a program to implement a thread using Runnable Interface. 7M b) Illustrate the concept of exception handling in inheritance tree. For example, create a

base class called “Father” and derived class called “Son” which extends the base class. In Father class, implement a constructor which takes the age and throws the exception WrongAge( ) when the input age<0. In Son class, implement a constructor that checks both father and son’s age and throws an exception if son’s age is >=father’s age.

8M

6. a) Write a program which shows altering order of threads by changing priority. 6M b) How to create user defined exceptions in java? Write a program to compute the factorial

of a number. The input value must be tested for validity. If it is greater than 15, the method ComputeFactorial() should raise an User defined Exception MyException with appropriate messages.

9M

Cont…2

:: 2 ::

Unit – IV

7. a) Create an applet to display different objects in different colors using AWT. 6M b) Explain Adapter class and its methods with an example program.

9M

8. a) Write a Java program to draw ellipse and rectangle using AWT. 6M b) Write a program using an applet which will print "key pressed" on the status window

when a key is pressed, "key released" on the status window when the key is released and display "Java Programming" at coordinates (50,50) on the applet window when the mouse is clicked.

9M

Unit – V

9. a) Write a program to demonstrate passing parameters to Applets. 5M b) Develop a program to demonstrate an icon-based button. It must display four push

buttons and a label. Each button must display an icon that represents the flag of a country. When a button is pressed, the name of that country must be displayed in the label.

10M

10. a) Discuss applet life cycle with a neat diagram. 7M b) Write a swing program to demonstrate creation of following components: JButton,

JCheckBox, JRadioButton, JTextField. 8M





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

Electronics Engineering & Civil Engineering)



Unit – I

1. a) What are the determinants of demand? Explain the process of developing a mathematical model for demand based on influencing variables. Give the typical structure of the Demand function.

9M

b) State the law of Demand. Mention two goods demonstrating exceptions to the law of demand.

6M

2. a) Define Elasticity of price expectation, Ee. In the context of a decision environment of business recession, state briefly the implications of Ee>1, Ee=1, 0<Ee<1, Ee=0 and Ee<0.

9M

b) Explain the concept of income elasticity of demand and explain its role in business decisions.

6M

Unit – II

3. a) Sketch Isoquants. Give reasons for the following properties of Isoquants: i. No two Isoquants intersect or touch each other ii. Isoquant is convex to the origin

9M

b) “A firm buys inputs in quantities determined by the production function and the prices of inputs.” Discuss.

6M

4. a) Explain the managerial significance of Break Even Analysis. Mention few of the Limitations of the Break Even analysis.

5M

b) A firm has a fixed cost of Rs.5,00,000, selling price per unit is Rs.25 and variable cost per unit is Rs.5. Maximum capacity output is 5,00,000 units per year. Calculate Break even output and margin of safety, contribution per unit, desired sales to earn a profit of Rs. 60, 000.

10M

Unit – III

5. a) When is a firm considered said to be in equilibrium? Explain and illustrate your answer. 6M b) Write a note on price and output decisions in the short run under monopoly. Illustrate

with graphs.

9M

6. a) Define the term “The Market”. Discuss the classification of market based on various criteria. In the recent time the term global market place is in use. How does this impact the market related decisions from the economics perspectives?

9M

b) Differentiate between perfect competition and monopoly.

6M

Cont…2

::2::

Unit – IV

7. a) What do you understand by joint stock company? What are the advantages of joint stock company?

9M

b) What are the advantages and disadvantages of Sole proprietorship?

6M

8. a) How do you calculate the accounting rate of return? What are its limitations? 5M b) A machine will cost Rs. 1, 00,000 and will provide annual net cash inflow of Rs. 30,000 for

six years. The cost of capital is 15 per cent. Calculate the machine’s net present value and the payback period. Should the machine be purchased?

10M

Unit – V

9. From the following balances extracted from the books of M/s Mythri & Co., pass the necessary closing entries; prepare a trading and profit and loss account and a balance sheet:

Particulars Rs. Particulars Rs. Opening stock 1,250 Plant and machinery 6,230 Sale 11,800 Returns outwards 1,380 Depreciation 667 Cash in hand 942 Commission (Cr). 211 Salaries 750 Insurance 380 Debtors 1,905 Carriage inwards 300 Discount (Dr.) 328 Furniture 670 Bills receivable 2,730 Printing charges 481 Wages 1,589 Carriage outwards 200 Return inwards 1,659 Capital 9,228 Bank overdraft 4,000 Creditors 1,780 Purchases 8,679 Bills payable 541 Bad debts 180

The value of stock on 31st December, 1990 was Rs. 3,700.

15M

10. Pass Journal Entries for the following transactions:

Jan 1 Started business with cash Rs.100,000 2 Deposited Rs.75,000 to bank 3 Purchased furniture Rs.20,000 and paid by cheque (Through Bank) 4 Purchased goods for cash Rs.15,000 and on credit for Rs.30,000 from Ganesh 5 Paid shop rent Rs.2,500 cash 6 Sold goods for cash Rs.5,000 & on credit Rs.20,000 to Priya 7 Withdrew from bank for personal use Rs.1,000 8 Sold goods on credit Rs.6,000 to Jithesh 9 Received Rs.19,500 from Priya in full settlement.

10 Received interest from bank Rs.600

15M





COMPUTER ARCHITECTURE AND ORGANIZATION (Information Technology)



Unit – I

1. a) What are the different registers in a processor? What are its uses? 7M b) Convert the decimal numbers 2 and 9 to:

i. BCD ii. Excess 3 gray code iii. Excess 3 code iv. Gray Code

8M

2. a) Bring out the various symbols for representation of register transfers with examples. 7M b) Draw the diagram for 4 bit binary incrementer. Explain its working.

8M

Unit – II

3. a) Explain the different addressing modes with an example. 7M b) Explain the following instructions with an example:

i. STA ii. BUN iii. ISZ iv. AND to AC

8M

4. a) Discuss the implementation of Memory Stack and also write the necessary steps needed to perform Push and Pop operations.

10M

b) Illustrate the steps needed to perform X = (A+B) (C+D) using two Address Instruction.

5M

Unit – III

5. a) Draw the diagram for micro-programmed control organization. Explain its stages. 7M b) Give the algorithm for adding and subtracting numbers in signed 2’s complement number

representation.

8M

6. a) Explain address sequencing. 7M b) Give the block diagram for BCD Adder. Explain its working.

8M

Unit – IV

7. a) Explain with a diagram 16 x 8 Memory chip organization. 7M b) Define Direct Memory Access and Explain the registers in a DMA interface with a diagram.

8M

8. a) Explain with a diagram pipeline for floating point addition and subtraction. 8M b) Discuss with a diagram separation of execution unit into eight functional units operating

in parallel.

7M

Cont…2

::2::

Unit – V

9. a) Discuss the Cache coherence problem and explain the hardware solution to overcome the problem.

8M

b) Discuss the three organizations used in design of operating system to prevent conflict of shared resources by processors.

7M

10. a) Explain with a neat sketch Time Shared Common Bus and Multiport Memory Organization.

10M

b) Distinguish between Tightly coupled and Loosely coupled multiprocessor. 5M



(AUTONOMOUS) B. Tech III Semester Regular Examinations, November - 2015


MATHEMATICS-III

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



Unit – I 1.

a) Express

1

0

1pm nx x dx in terms of the Gamma function and hence evaluate

1

105 3

0

1x x dx

7M

b) Show that

8 42

0 0

232

x xxe dx x e dx

8M

2. a) If n is an integer, show that 1 nn nJ x J x . 7M

b) Express 3 22 3f x x x x in terms of the Legendre’s polynomial in the interval

1 1x

8M

Unit – II

3.

a) Show that the function ,f x y xy is not analytic at the origin even though

Cauchy-Riemann equations are satisfied thereof.

7M

b) Show that 3 3u x y xy is harmonic and hence find its harmonic conjugate.

8M 4.

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

2 22 2

2 2 4f z f zx y

8M

b) Find the analytic function , ,f z u r iv r such that 2, cos 2 cos 2v r r r

7M

Unit – III

5. a) If coshx iy u iv show that:

i. 2 2

12 2cosh sinh

x y

u u

ii. 2 2 2 2 1 x sec v y cosec v

8M

b) Express log logi in the form of . a ib

Cont…2

7M

:: 2 ::

6. a) Find the bilinear transformation which maps the points z = ∞, i, 0 into points w = 0, i, ∞ respectively.

7M

b) Discuss the transformation w = z2 8M

Unit – IV

7.

a) Evaluate

22

,

0

iz dz

along the real axis to 2 and then vertically to 2+i 8M

b) Using the Cauchy’s integral formula, evaluate the integral 2 2sin cos1 2

z z dzz z

C

where C

is the circle 3z

7M

8.

a) Find the Taylor’s expansion of

3

2

2 1zf zz z

about the point a = i

8M

b) Define pole of complex function f z . Determine the poles of the following functions:

i. 21 ( 1)

zf zz z

ii. 2

3 2

42 2

zf zz z z

7M

Unit – V

9.

a) Find the residues at each pole of

2

2 41 1zf z

z z

7M

b) 2

Evaluate2 5 2C

z dzz iz using Residue theorem, where C is the circle 3z i

8M

10.

a) By integrating around a unit circle, evaluate

2

0

cos35 4cos

d

8M

b) Evaluate

0

sin mx dxx

when 0m 7M





ENVIRONMENTAL SCIENCE

(Common to Electronics and Communication Engineering, Mechanical Engineering & Civil Engineering)



Unit – I

1. a) Discuss how environmental science is a multidisciplinary as well as interdisciplinary subject.

8M

b) Discuss the role of the individual in conservation of natural resources with respect to soil erosion and desertification.

7M

2. a) Differentiate between renewable and non renewable sources of energy in detail with examples.

8M

b) Discuss the impact of overexploitation of extracting and using various mineral resources.

7M

Unit – II

3. a) Explain the various types of forest ecosystem with examples. 8M b) Define and explain the various steps involved in ecological succession.

7M

4. a) Explain the various levels of biodiversity and add a note on values of biodiversity. 8M b) Describe the Ex-Situ method for conservation of biodiversity.

7M

Unit – III

5. a) Summarize on sources, effects and control measures of soil pollution. 7M b) Mention the different types of solid wastes and discuss the concept of 3R for solid waste

management.

8M

6. a) Discuss about e waste and plastic waste recycling and reuse. 8M b) Write a concise note on:

i. Causes of Climate change ii. Composition and effects of Acid rain

7M

Unit – IV

7. a) Discuss the role of information technology in environment and human health with an example.

8M

b) What is meant by “polluter pay principle”?

7M

8. a) What are the approaches to green computing? 8M b) What is meant by green building concept explain in detail?

7M

Unit – V

9. a) Discuss about Indian forest act and briefly mention about its salient features. 8M b) Describe the salient features of environmental protection Act.

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





ELECTRONIC CIRCUIT ANALYSIS

(Electronics and Communication Engineering)



Unit – I

1. a) Draw the circuit of CE amplifier and obtain its equivalent hybrid model and derive expressions for Ai, Ri, Av and Ro using exact and approximation analysis.

9M

b) For the transistor connected in CE configuration determine Av, Ai, Ri and Ro using the complete hybrid equivalent model. Given RL=Rs=1kΩ, hie=1kΩ, hre=2x10-4, hfe=100, hoe=20µA/V.

6M

2. a) Draw the diagram of CG amplifier with the help of small signal model; derive the expressions for input impedances, output impedance and voltage gain.

7M

b) Derive the expression for gm in terms of ID and IDSS. For JFET if IDSS=20mA, VGS(OFF)= -5V and gmo=4ms. Determine the trans-conductance for VGS= -4V, and find Io at this point.

8M

Unit – II

3. a) Show that in Hybrid – π model, the diffusion capacitance is proportional to the emitter bias current.

7M

b) Two RC coupled amplifiers are connected to form a 2-stage amplifier. If the lower and upper cutoff frequencies of each individual amplifier respectively are 100HZ and 20kHZ, What these frequencies are for the 2-stage amplifier?

8M

4. a) Draw the circuit diagram of 2-stage RC coupled amplifier. Explain the function of various components and their effect on the frequency response.

7M

b) The hybrid-π parameters of the transistor used in the circuit with Rs=100Ω and RL=1KΩ is shown below in Fig.1 are gm=50mA/V, rb’e=1 kΩ, rb’c=4MΩ,rce=80 kΩ, Cc = 3PF, Ce = 100PF and rbb’ = 100Ω, find:

i. Upper 3db frequency of current gain Li

i

IAI

ii. The magnitude of voltage gain oVS

S

VAV

at frequency of part(i)

Fig.1

8M

Cont…2

:: 2 ::

Unit – III

5. a) Derive the gain equation with feedback for negative feedback and explain its effects on the various characteristics of the amplifier.

8M

b) An amplifier has mid band gain of 125 and a bandwidth of 250KHz: i. If 4% negative feedback is introduced find the new bandwidth and gain ii. If bandwidth is restricted to 1MHz find the feedback ratio

7M

6. a) State and explain Barkhausen criterion to get sustained oscillations. 7M b) In a transistorised Hartley oscillator two inductances are 2mH and 20μH while the

frequency is to be changed from 950 kHz to 2050 kHz. Calculate the range over which the capacitor is to be varied.

8M

Unit – IV

7. a) Show that in case of transformer coupled class A power amplifier, maximum theoretical efficiency is 50%.

7M

b) Draw the circuit for a push-pull amplifier and discuss its working.

8M

8. a) Explain with neat circuit diagram complementary symmetry class B amplifier 6M b) A transformer coupled class A power amplifier having collector supply voltage of 15V,

delivers maximum output power of 3W to a load resistance of 1.5Ω connected to the secondary of the ideal output transformer. Determine: i. Turns ratio of the output transformer ii. Power rating of the transistor iii. D.C. power input to the amplifier. Assume maximum symmetrical swing for the

output voltage

9M

Unit – V

9. a) What are tuned amplifiers and explain requirements of tuned amplifiers. 7M b) Using the circuit diagram and equivalent circuit of inductively coupled single stage tuned

amplifier, derive expressions for bandwidth which interrelated to the circuit component values and quality factor of the tuned circuit and resonant frequency.

8M

10. a) The bandwidth for single tuned amplifier is 20kHz. Calculate the bandwidth if such three stages are cascaded. Also calculate the bandwidth for four stages.

5M

b) Design a single tuned amplifier for the following specifications: i. Centre frequency = 500kHz ii. Bandwidth = 10kHz Assume transistor parameters: gm = 0.04S, hfe=100, Cbe=1000pF, and Cb’c = 100pF. The bias network and the input resistance are adjusted so that r = 4kΩ and RL=510Ω.

10M





SIGNALS AND SYSTEMS (Electronics and Communication Engineering)



Unit – I

1. a) Determine whether the following discrete-time signals are periodic or not, if periodic, specify the period.

i. 6os cos13 6

n nx n c

ii. 4cos13

x n n

6M

b) Find the Fourier Series representation of the signal x(t) shown in Fig.1.

Fig.1

9M

2. a) Sketch the following signal and perform operation 2 53ty t x

0 if 42 if 4 32 f 3

tx t t t

t i t

7M

b) Find the trigonometric Fourier series for the waveform shown in the Fig.2 shown below.

Fig.2

8M

Unit – II

3. a) Find the Fourier transform of aperiodic unit impulse train shown in Fig.3 below:

Fig.3

7M

b) Consider an LTI system whose response to the input x(t)=[e-t+e-3t] u(t) is y(t)=[2e-t – 2e-4t]u(t). Determine the System impulse response by using Fourier Transform.

8M

Cont…2

:: 2 ::

4. a) State and prove the following properties of continuous signal Fourier Transform.

i. Time shifting property ii. Frequency differentiation property

8M

b) A causal Stable LTI System S has the frequency response 2

46 5

jwH jwjw

i. Determine the differential equation relating to input and output as x(t) and y(t). ii. Determine the impulse response h(t) of the system

7M

Unit – III

5. a) Derive the condition for distortion-less transmission of a signal through a linear time invariant system.

7M

b) Prove the following properties of convolution integral: i. Commutative Property ii. Associative Property

8M

6. a) Check and determine the following system for memory, Stability, Linearity, Time Invariance, Causality and Invertible 2 2cosy t At x t t x t B

6M

b) Perform the convolution between the signals x(t)and h(t) given below Fig.4.

Fig.4

9M

Unit – IV

7. a) Find, the output y(t) of the system described by the differential equation

)()(5)( txtydt

tdy by Laplace Transform method. Assume that the input

x(t)= 3e-2tu(t) and initial condition is y(0+)=-2.

7M

b) Find the Inverse Laplace transform of the following X(s)

)3410(3)( 2

SS

SX

8M

8. a) Verify the initial and final value theorem of the Laplace transform for the function f(t) = e-t (sin3t + cos5t)

8M

b) Find the Laplace transform of the full wave rectified output as shown in Fig.5

Fig.5

7M

Cont…3

:: 3 ::

Unit – V

9. a) State and prove sampling theorem for Low pass signal and also explain how signal is reconstructed from the sample values.

8M

b) Find the Z-transform of the following sequence and find the ROC

][)(sin31][ 0 nunnx

n

]1[)3(2][215][

nununx n

n

7M

10. a) Obtain the sequence x(n) by using long division method

1

1 2 11 1.414

ZX Z for ZZ Z

8M

b) The system equation is given by, y(n)-(7/2)y(n-1)+(3/2)y(n-2)=3x(n)-4x(n-1) Determine: i. Transfer function H(Z) ii. Impulse response h(n), assuming System is causal

7M





PROBABILITY THEORY AND STOCHASTIC PROCESSES

(Electronics and Communication Engineering)



Unit – I

1. a) A point is chosen randomly on a square whose side is 1m long. If the coordinates of the point are denoted by (x, y), find:

i. 1P2

x y

ii. P(0.75, 0.35)

8M

b) Gaussian random variable has a PDF of the form 2exp 2 3Xf X c x x a .

Find c.

7M

2. a) In a class, 60% students like sports, 70% like chocolate, and 40% like both. Determine the probability that a randomly selected student neither likes sports nor chocolates.

5M

b) An audio amplifier circuit has 6 transistors. Harry determines that 2 are defective but he does not know which two. He randomly removes 3 transistors and inspects them. Let X be the number of defective transistors that he finds, such that X may be 0, 1 or 2. Find and plot the cumulative distribution function and probability density function for X.

10M

Unit – II

3. a) Show that the moment generating function of the random variable X having a normal

distribution with mean µ and variance σ2 is given by 2 2

2t

xtM t e

8M

b) Determine: i. Marginal distributions of x and y ii. Cov(x, y) iii. ρ(x,y) for the joint following distributions

Y x -3 2 4

1 0.1 0.2 0.2 3 0.3 0.1 0.1

7M

4. a) Find the mean and variance of exponential density function.

1

0

x ab

xf x e if x ab

if x a

7M

b) Prove that density function of the sum of the two statistically independent random variables is the convolution of their individual density functions.

8M

Cont…2

:: 2 ::

Unit – III

5. a) Prove that the mean value of a weighted sum of uncorrelated random variables equals to the weighted sum of the means of the random variables.

7M

b) Two random variables x and y have the joint characteristic function 2 2

, 1, 2 1 2exp 2 8x y w w w w show that x and y are zero mean random variables and

that they are uncorrelated.

8M

6. a) Write a short on linear transformation of Gaussian random variables. 8M b) Let X be random variable with mean E (X) = 3, 2 2x . If 6 22Y X find:

i. E [X2] ii. E [Y] iii. Rxy iv. Check whether X and Y are orthogonal or not

7M

Unit – IV

7. a) Define correlation and covariance for a stochastic process. Illustrate with a suitable example and mathematical equations.

10M

b) A random process X(t) consists of three member functions: 1 2 31, 3, sin 2x T x t x t t

Each member function can occur with equal probability. Find the mean function and autocorrelation function of X(t).

5M

8. a) Define ergodicity and discuss its types. 5M b) With suitable example and mathematical equations, illustrate the difference between a

wide-sense stationary and strict-sense stationary stochastic process.

10M

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) Find the power spectral density for a process whose autocorrelation function is equal to one for all values of time delay. Can you find a practical scenario for such a situation?

5M

b) What methods are used for mathematical modeling of noise in electronics and communication circuits? Define noise temperature and explain its significance in analysis of system behaviour.

10M





ELECTRICAL MACHINES-I

(Electrical and Electronics Engineering)



Unit – I

1. a) Draw neat sketch of D.C. Generator and explain the main parts of it. 8M b) The brushes of a certain lap connected 400kw, 6 pole generator are given lead of 180

electrical. From the data given, calculate: i. The demagnetizing ampere turns ii. The cross magnetizing ampere turns iii. Series turns required to balance the demagnetizing component

The full load current is 750A and the total numbers of conductors are 900 and the leakage coefficient is 1.4.

7M

2. a) Explain clearly commutation in a D.C. generator and methods to improve it. 8M b) An 8 pole lap wound armature rotated at 350 rpm is required to generate 260V. The

useful flux per pole is about 0.05 Weber. If the armature has 120 slots, calculate the suitable number of conductors per slot and hence determine the actual value of flux required to generate the same voltage?

7M

Unit – II

3. a) Classify DC generators based on type of excitation. Also for each type, derive the equation for the induced emf.

8M

b) In a 50kW, 230/250V (no-load/full load) over compounded dc generator (long shunt) the flux per pole required to produce 230V on no load at 1050 RPM is 0.06 wb. The resistances of the armature and series field are 0.04 Ω and 0.01 Ω respectively and the shunt field resistance is 100 Ω. Calculate the value of the flux per pole at full load, 1000 RPM.Neglect brush drop.

7M

4. a) Explain clearly the working and importance of an equalizer bar for satisfactory parallel operation dc generators.

8M

b) What are the causes for the failure to build-up a dc generator? What are the remedies?

7M

Unit – III

5. a) Explain with neat figure 3 point starter and its protective devices. 8M b) A field’s test on two mechanically coupled D.C. series motors gave the following test data.

Motor: Armature current 50A, Armature voltage 500V, field winding voltage drop 38V. Generator: Armature current 38A, armature voltage 400V. Field winding voltage drop 36V. Resistance of each armature is 0.2 . Calculate the efficiency of each machine at this load.

7M

6. a) Explain with circuit diagram the speed control of armature voltage and field flux control methods. Mention the application of different types of motors.

10M

b) Explain Swinburne’s test to determine the efficiency of a D.C. shunt motor.

Cont…2

5M

:: 2 ::

Unit – IV

7. a) Explain with necessary circuit diagrams, the predetermination of efficiency and regulation of a single phase transformer from O.C test and S.C test.

9M

b) A 10kVA, 500V/100V transformer has the following circuit parameters referred to primary; Resistance R01=0.3 Ω; Reactance X01=5.2 Ω. When supplying power to a lagging load, the current, power and voltage measured on primary side were 20A, 8kW and 500V respectively? Calculate voltage on secondary terminals under these conditions.

6M

8. a) What is the effect of unequal voltage ratio and unequal p.u. impedance on the parallel operation of two transformers? Explain with relevant vector diagrams.

9M

b) Two 1-phase transformers with equal turns have impedances of (0.5+j3) Ω and (0.6+j10) Ω with respect to the secondary. If they operate in parallel, determine how they will share total a load of 100kW at 0.8 pf lagging?

6M

Unit – V

9. a) Describe in detail the star-star connection of three single phase transformers. What are the limitations of this connection? How they can be overcome?

9M

b) A 3 phase step down transformer is connected to 6.6 kV mains and takes 10A. Calculate the secondary line voltage, line current and output for the following connections: i. Star- delta ii. Delta-star. The transformation ratio is 1/12 neglect losses

6M

10. a) Explain the advantages of using a tertiary winding in a bank of star-star transformers. 7M b) Explain with necessary diagrams how two 3 phase transformers can be used to convert a

3 phase supply to a 2 phase one. If the load is balanced on one side, show that it will be balanced on the other side?

8M





ELECTRO MAGNETIC FIELDS (Electrical and Electronics Engineering)



Unit – I

1. a) Derive an expression for the electric field intensity at a point due to a line charge. 7M b) Find the work done in moving a 5 μC charge from the origin to the point 2, 1, 4P

through the field 2 22 x y zE xyz â x z â x y â V/m along a straight line path

2 2x y and z x

8M

2. a) Derive the expressions for the potential and electric field intensity due to an electric dipole.

8M

b) State and explain Point form of Gauss’s law. Using this, calculate the volume charge density at the point P(3, 5, 8), if the electric flux density is:

2 2 2 2 2 – – 2 /D xyz y a x z xy a x ya C m x y z

7M

Unit – II

3. a) Starting from Biot-Savart’s law, derive the expression for the magnetic field intensity due to an infinite length conductor carrying current, I.

8M

b) Obtain an expression of Magnetic field intensity H at a point due an infinite sheet of current.

7M

4. a) Define Magnetic flux density, B . Prove that div(B) = 0. 5M b) Explain Ampere’s circuit law and also Find H due to infinitely long straight conductor

using Ampere circuit law.

10M

Unit – III

5. a) Determine whether or not the following potential fields satisfy the Laplace’s equation: i. 2 2 2 V x y z ii. V r cos iii. V r cos

8M

b) Find the capacitance of a co-axial cable using concept of capacitance.

7M

6. a) Explain the terms: Current and Current density. Derive the continuity equation in terms of volume charge density.

7M

b) A solenoid with air case has 2000 turns, length of 50cm and case radius is 4cm. Find the inductance. Derive the expression used for inductance.

8M

Cont…2

::2::

Unit – IV

7. a) Explain Lorentz’s force equations and force on a differential current elements 8M b) A point charge for which Q = 2 × 10−16 C and m = 5 × 10−26 kg is moving in the combined

fields. E = 100ax − 200ay + 300az V/m and B = −3ax + 2ay − az mT. If the charge velocity at t = 0 is v(0) = (2ax − 3ay − 4az) × 105 m/s:a) Give the Lorentz’s force by which the charge is accelerating at t = 0, b) find the kinetic energy of the charge at t = 0.

7M

8. a) Explain briefly vector magnetic potential. 7M b) Show that the magnetic force between two parallel conductors carrying currents in

opposite and same directions is same in magnitude. Assume the current carrying conductors are parallel to z-axis and separated by a distance, d.

8M

Unit – V

9. a) Define the terms: conduction current density and displacement current density. For a time-varying fields, show that:

JcJd

7M

b) Explain the Maxwell’s equations in point form and integral form for time varying fields.

8M

10. a) State and prove the Poynting theorem. Write the expression for average power density by using Poynting theorem.

7M

b) The electric field intensity in a lossless medium is given by: H =2cos zt x â where 5 10 3 10 / , 1.2 10 /x H m x H m and

10 10 /rad sec . Deduce the expressions for B , D and E using Maxwell’s equations.

8M





NETWORK ANALYSIS (Electrical and Electronics Engineering)



Unit – I

1. a) Obtain expression for inductance of a coil in terms of reluctance and number of terms. 5M b) For the circuit shown in Fig.1 determine the equivalent inductance given K1 =0.5, K2 =0.6

derive necessary formula.

Fig.1

10M

2. a) Shown that in a series RLC resonant circuit: i. 1 2f f

ii. 0

W

fQB

8M

b) A series RLC circuit has 1 f capacitor and R = 16 . Calculate: i. f0 ii. Q iii. L iv. If Bw = 5000Hz

7M

Unit – II

3. a) From the two wattmeter readings derive an expression to measure the power factor of the circuit.

7M

b) Three impedances Z1= 20∠30, Z2=40∠60 and Z3=10∠-90 are delta connected to a 400 V, 3 Ø system. Determine: i. Phase currents ii. Line currents iii. Total power

8M

4. a) Show how the two wattmeter’s used to measure the power vary as the power factor of the circuit varies from unity to zero.

6M

b) A three phase three wire ABC system with line voltage VAB=311.1∠0, has line currents IA= 61.5∠116.6oA, IB= 61.2∠-48oA, IC= 16.1∠218oA. Fine the wattmeter readings connected in lines A and B.

9M

Cont…2

::2::

Unit – III 5.

a) For the circuit switch K is closed at t = D in Fig.2 determine i(0+), 0di

dt and

2

2

0d idt

Fig.2

7M

b) Derive an expression for step response of a RL circuit with zero initial conditions. Draw the response of current.

8M

6. a) For the circuit shown in Fig.3 switch K is closed at t=0 find icb for t>0 given v(t)=5e-2t volts.

Fig.3

9M

b) A series RL circuit with R=100 L=0.2H is connected to 100V source then a second source of 50V with same polarity is connected at t = t1 resulting in a consitant current of 0.5A for t>t1 Find t1.

6M

Unit – IV

7. a) What are the chief properties of a filter? 6M b) Design a T and π section constant – K high pass filter having cut off frequency of 12kHz

and nominal impedance R0=500 Ω. Also find: i. Its characteristic impedance and phase constant at 24kHz ii. Attenuation at 4kHz

9M

8. a) For the low pass filter shown in Fig.4, find the m derived section to have a resonant frequencies of 1700 Hz and 3300 Hz for T and π networks respectively:

Fig.4

8M

b) With a neat circuit diagram, explain a symmetrical resistance lattice attenuator and obtain expression for propagation constant.

7M

Unit – V

9. a) Draw the current locus diagram for: i. Series RL circuit having variable L ii. Series RC circuit in parallel with variable R

10M

b) For series RL circuit shown in Fig.5 draw current locus diagram when R = 10 V2 = 100V with variable XL = 0 to 10

Fig.5

5M

Cont…3

::3::

10. a) Draw current locus diagram for the circuit shown in Fig.6 and explain.

Fig.6

10M

b) Draw current locus diagram for the circuit shown in Fig.7. Find currents corresponding to values of reactance increasing from 3 to 4 .

Fig.7

5M





MACHINE DRAWING (Mechanical Engineering)



Unit – I

1. Draw to 1:1 scale the top view and sectional front view of double riveted lap joint with chain riveting. The thickness of the plate is 9 mm. Show at least three rivets in each row. Indicate all dimensions. Use snap head rivets.

15M

2. Taking the diameter of rods d = 20 mm, draw the front view showing Top half in section of a SOCKET & SPIGOT COTTER JOINT. Add a view looking from the socket end. Show all dimensions in terms of ‘d’.

15M

3. Fig.1 shows the details of a BUSHED BEARING. Draw to 1:1 scale the Front view in full section of the assembled bearing. Add a top view.

15M

Fig.1

Cont…2

:: 2 ::

Unit – II

4. The details of PETROL ENGINE CONNECTING ROD are shown in Fig.2. Assemble all the parts and draw the following views to 1:1 scale:

i. Front view with top half in section ii. A view looking from big end

45M

Fig.2





MECHANICS OF SOLIDS (Mechanical Engineering)



Unit – I

1. a) Define the terms: i. Poison’s Ratio ii. Factor of Safety

2M

b) A steel bar 35mm x 35mm in section and 100mm in length as shown in Fig.1 is acted upon by a tensile load of 180kN along its longitudinal axis and 400kN and 300kN along the axes of the lateral surfaces. Taking E=205GPa and = 0.3, determine: i. Change in dimensions of the bar ii. Change in volume iii. Longitudinal axial load acting alone can cause the same longitudinal strain:

Fig.1

13M

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

2M

b) An element in a stressed material has tensile stress of 500MN/m2 (x-face) and a compressive stress of 350MN/m2 (y-face) acting on two mutually perpendicular planes and equal shear stresses of 100MN/m2 (upward on x-face) on these planes. Find, by Mohr’s Circle Method, maximum shearing stress, principal stresses, and position of principal planes.

13M

Unit – II

3. a) What are the types of beams? Differentiate between a cantilever and simply supported beam.

4M

b) Draw the SF and BM diagrams for the cantilever beam of 4m length carrying a load whose intensity varies uniformly from zero at the free end to 2kN/m at the fixed end?

11M

4. a) What are the conventions used for Shear Force and Bending Moment in general? 4M b) A beam of length 12m is simply supported at two supports which are 8m apart, with an

overhang of 2m on each side? The beam carries a concentrated load of 1000N at each end. Draw the SF and BM diagram.

11M

Cont…2

::2::

Unit – III 5. a) Write bending equation and explain:

i. Its salient terms ii. Its practical application

5M

b) A timber beam is freely supported on supports 6m apart. It carries a uniformly distributed load of 12kN per meter run and a concentrated load of 9kN at 2.5 meters from the left support? If the stress in timber is not to exceed 8N/mm2, design a suitable rectangular section making the depth twice the width?

10M

6. Symmetrical I section beam has two (100mm x 10mm) flanges and a (300mm x 10mm) web. If the beam is subjected to shear force F, determine the percentages of shear force shared by the flanges and web?

15M

Unit – IV

7. a) Derive differential equation for deflection of beam. 7M b) A simply supported beam of 6m span is subjected to a concentrated load of 18kN at 4m

from left support. E= 200GPa, I=15x106mm4. Calculate: i. The position and the value of maximum deflection ii. Deflection at the load point

8M

8. Find the maximum deflection and the maximum slope for the beam loaded as shown in Fig.2 Take flexural rigidity EI=15x109 kN-mm2.

Fig.2

15M

Unit – V

9. a) Distinguish between thin and thick cylinders. 5M b) A pipe of 400mm internal diameter and 100mm thickness contains a fluid at a pressure

of 80MPa. Find the maximum and minimum hoop stresses across the section.

10M

10. a) A thin cylindrical shell, 2m long has 200mm diameter and thickness of metal 10mm. It is subjected to an internal pressure of 4.1858MPa? Find hoop stress developed and changes in diameter and length.

8M

b) A thick cylinder of internal diameter 160mm is subjected to an internal pressure of 40MPa. If the allowable stress in the material is 120MPa, find the thickness required?

7M





MECHANICS OF FLUIDS

(Mechanical Engineering)



Unit – I

1. a) Define surface tension. Obtain expression for the same in case of: i. A droplet ii. Liquid jet

8M

b) Define Total pressure and Center of pressure for a submerged surface. Determine the total pressure and center of pressure on a circular plate of diameter 1.5m which is placed vertically in water in such a way that the center of the plate is 3m below the free surface of water. Find the position of center of pressure also.

7M

2. a) Discuss the conditions for equilibrium of: i. Floating body ii. Submerged body

8M

b) A block of wood of specific gravity 0.7 floats in water. Determine the metacentric height of the block if its size is 2m x 1m x 0.8m.

7M

Unit – II

3. a) Distinguish between: i. Steady and Unsteady flow ii. Uniform and Non uniform Flow iii. Laminar and Turbulent flow iv. Rotational and Irrotational flow

8M

b) The velocity distribution in a three-dimensional flow is given by u = - x, v = 2y and w = (3-z). Find the equation of the stream line that passes through point (1, 1, 1).

7M

4. a) Obtain the continuity equation in three dimensional form. 8M b) The stream function and velocity potential for a flow are given by = 2xy and = x2 – y2.

Show that the conditions for continuity and irrotational flow are satisfied.

7M

Unit – III

5. a) Derive Bernoulli’s equation of fluid motion from Euler’s equation. State clearly the assumptions made.

8M

b) Water under pressure of 323.924 10 N

m is flowing through a 0.3mpipe at the rate of

0.25m3/sec. If the pipe is bent by 1350 find the magnitude and direction of the resultant force on the bend.

7M

6. a) With usual notations, obtain an expression for rate of flow through a venturimeter. 8M b) A 20cmx10cm venturimeter is inserted in a vertical pipe carrying oil of specific gravity 0.8

the flow of oil is in upward direction. The difference in levels between throat and inlet section is 50 cm. The oil-mercury differential manometer gives a reading of 30 cm of mercury. Neglecting losses, determine the discharge of oil.

7M

Cont…2

:: 2 ::

Unit – IV

7. a) Define displacement thickness as referred to boundary layer formation. With usual notations, obtain an expression for the same.

8M

b) A flat plate 1.5m x 1.5 m moves at 50 kmph in stationary air of density 1.15 kg/m3. If the coefficients of drag & lift are 0.15 & 0.75 respectively, determine: i) Lift force (ii) Drag force (iii) Power required to keep the plate in motion.

7M

8. a) Give the velocity distribution in laminar boundary layer on a flat plate as3 4

2 2u y y yU

. Obtain expression for the boundary layer thickness and

force on one side of the pate.

8M

b) What do you understand by the term boundary layer? Describe with reference to flow over a flat plate.

7M

Unit – V

9.

a) An airplane flies at 600 kmh

at sea level where the temperature is 150C. What is the

speed of the airplane at the same mach number at an altitude 10,000m? What are the temperature and pressure at the stagnation point?

7M

b) Methane gas flows in an adiabatic, no-work system with negligible change in potential. At

one section p1=14 bar, T1=500K and 1 125 mVs

. At a downstream section M2 = 0.8:

i. Determine T2 and V2 ii. Find P2 assuming that there are no friction losses

iii. What is the area ratio 2

1

AA

8M

10. a) Sketch and explain the propagation of pressure waves in a compressible fluid for: i. Subsonic ii. Sonic iii. Supersonic cases

8M

b) Argon flows through a duct at section 1 the area is 0.05m2 and V1 = 180m/s P1 = 500kPa. and T1 = 470K. Compute: i. Initial stagnation temperature ii. M1 iii. P0 iv. If at section 2 the area is 0.036 m2 then compute M2 and p2. Assume 1.4

7M





THERMODYNAMICS

(Mechanical Engineering)



Unit – I

1. a) Define: i. Intensive property ii. Extensive property iii. Thermodynamic cycle iv. Quasi-static process v. Isolated system

10M

b) An engine cylinder has a piston of area 0.12m2 and contains gas at a pressure of 1.5MPa. The gas expands according to the process which is represented by a straight line on a PV diagram and the final pressure is 0.15MPa. Calculate the work done by the gas on the piston if the stroke is 0.3m.

5M

2. a) Write a note on: i. Thermodynamic system and different types ii. State, path, process iii. Statement of Zeroth law of thermodynamics

9M

b) The temperature “t” on a thermometric scale is defined in terms of a property “k” by the relation t = a ln k +b where “a” and “b” are constants. The values of k are 1.83 and 6.78 at ice and steam points, the temperatures of which are assigned 00 C and 1000 C respectively. Find the temperature corresponding to a value of k equal to 2.42.

6M

Unit – II

3. a) i. State first law for a closed system undergoing a cycle. ii. The heat capacity at constant pressure of a certain system is a function of

temperature only and may be expressed as 41.872.093

100pJC

t R

where t is the temperature of the system in oC. The system is heated while it is maintained at a pressure of 1 atmosphere until its volume increases from 2000 cm3 to 2400 cm3 and its temperature increases from 00C to 100oC. Find the magnitude of heat interaction and increase in internal energy of the system.

9M

b) A certain gas of mass 4kg is contained with a piston and cylinder assembly. The gas undergoes a process for which pV1.5= constant. The initial state is given by 3bar, 0.1m3. The change in internal energy of gas in the process is u2-u1 = -4.6 kJ/kg. Find the net heat transfer for the process when the final volume is 0.2m3. Neglect the change in KE and PE.

Cont…2

6M

:: 2 ::

4. a) Apply the steady flow energy equation for the following: i. Diffuser ii. Rotary air compressor iii. Throttling device

6M

b) Air at a temperature of 150C passes through a heat exchanger at a velocity of 30m/sec where its temperature is raised to 8000C. It then enters a turbine with the same velocity of 30m/sec and expands until the temperature falls to 6500C. On leaving the turbine, the air is taken at a velocity of 60m/sec to a nozzle where it expands until the temperature has falls to 5000C. If the air flow rate is 2kg/sec, calculate: i. The rate of heat transfer to the air in the heat exchanger ii. The power output from the turbine assuming no heat loss iii. The velocity at exit from the nozzle, assuming no heat loss. Take the enthalpy of

air as h=Cpt, where Cp is specific heat of air equals to 1.005kJ/kgK and t the temperature.

9M

Unit – III

5. a) i. Define heat engine , heat pump , refrigerator ii. Show that COP of a heat pump is greater than COP of a refrigerator by unity

5M

b) Two reversible heat engines A and B are arranged in series. A rejecting heat to B through an intermediate reservoir. A receives 200 kJ at a temperature of 4210C from a hot source while B is in communication with a cold sink at 4.40C. If the work output of A is twice that of B, evaluate: i. Intermediate temperature between A and B ii. Efficiency of each engine iii. Heat rejected to cold sink

10M

6. a) State and prove Clausius theorem. 6M b) A heat engine is supplied with 278 kJ/s of heat at a constant fixed temperature of

2830C and heat rejection takes place at 50C. The following results were reported: i. 208 kJ/s of heat rejected ii. 139 kJ/s of heat rejected iii. 70 kJ/s of heat rejected

Classify which of the results report a reversible, irreversible and impossible cycle.

9M

Unit – IV

7. a) Define the following terms as applied to a pure substance: i. Triple point ii. Critical point iii. Sub cooled liquid state iv. Dry vapor state

8M

b) Find the enthalpy and entropy of steam when pressure is 2MPa and specific volume is 0.09m3/kg.

7M

8. a) What is quality of steam? What are the different methods of measurement of quality? Explain anyone with a neat sketch.

9M

b) Steam initially at 0.3 MPa , 2500C is cooled at constant volume. i. At what temperature will the steam become saturated vapor ii. What is the quality at 800C

6M

Cont…3

::3::

Unit – V

9. a) What is air standard cycle? With the help of P-v and T-s diagrams Derive an expression for efficiency of Otto cycle.

8M

b) An engine working on Otto cycle has an air standard cycle efficiency of 56% and rejects 544 kJ/kg of air. The pressure and temperature of air at the beginning of compression are 0.1 MPa and 600C respectively. Compute: i. The compression ratio of the engine ii. The work done per kg of air iii. The pressure and temperature at the end of compression iv. The maximum pressure in the cycle

7M

10. a) For the same compression ratio and heat rejection, which cycle has highest efficiency: Otto, Diesel or Dual? Explain with P-v and T-s diagrams.

7M

b) With the help of P-v and T-s diagrams, derive the expression for cycle efficiency for Brayton cycle.

8M





METALLURGY & MATERIAL SCIENCE (Mechanical Engineering)



Unit – I

1. a) Find atomic packing factor for FCC and HCP structures. 7M b) Differentiate edge and screw dislocations with sketches.

8M

2. a) Define degrees of freedom, Phase and equilibrium. Explain Hume-Rothary rules. 8M b) Why alloying is required? Mention why the following elements are added.

Chromium, Nickel and Vanadium.

7M

Unit – II

3. a) With cooling curve data, explain how phase diagrams are constructed. 7M b) Two metals A and B are completely soluble in liquid state. A melts at 6000C and B at

4000C. Gradual cooling results an eutectic at 40% A and 60% B. Assume that the liquidus lines are straight. The eutectic solidifies at 2500C. Find for an alloy of 75% A and 25% B: i. The temperature at which the solidification will begin to crystallize from the melt and

at which the melt will be completely solid ii. The percentage of solid in the solid solution at 3000C iii. The percentage of eutectic in the solid solution at room temperature

8M

4. a) Draw an iron carbon equilibrium diagram and explain the three invariant reactions associated with it.

12M

b) State Gibbs phase rule and explain the terms.

3M

Unit – III

5. a) What are the different types of cast iron? 5M b) i. Give the classification of steels.

ii. Briefly explain the properties of plain carbon steels.

10M

6. a) To relieve the internal stresses, which heat treatment technique is preferred? Explain the same.

7M

b) For 0.8% carbon steel draw the TTT diagram and explain the phases. 8M

Unit – IV

7. a) List the engineering properties and applications of copper. 7M b) List the applications of aluminum alloys. Mention the formable aluminum series.

8M

8. a) Classify ceramic materials. Mention the characteristics of ceramic materials. 8M b) List the applications of silicon carbide and aluminum oxide.

7M

Unit – V

9. a) Classify composites. List the properties of composites. 7M b) Sketch and explain hand lay-up process of producing polymer composites.

8M

10. a) Explain the applications of Polymer matrix composites. 6M b) Sketch and explain vacuum bag moulding process of producing composites. 9M



(AUTONOMOUS) B. Tech III Semester, End Semester Regular Examinations, November - 2015

(Regulations: VCE-R14) SURVEYING-I

(Civil Engineering) Date: 16 November, 2015 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) What is surveying? Explain briefly the principle of surveying. 7M b) Sketch the map conventional symbols for the following:

i. Temple ii. Railway double line iii. Lake iv. Buildings

8M

2. a) Distinguish between: i. Plane survey and Geodetic Survey ii. Plan and Map

8M

b) List the different sources of error in surveying? Briefly explain the types of errors. 7M

Unit – II

3. a) Explain the stepping method of chaining on slopping ground. 7M b) Explain briefly the direct distance measurement methods.

8M

4. a) Explain different types of EDM instruments. 7M b) Explain the working method of electromagnetic distance measuring instrument. 8M

Unit – III

5. a) Explain the temporary adjustments of leveling instruments. 7M b) Explain the characteristics of contour with the neat sketch.

8M

6. a) The following staff readings were taken with a dumpy level. The instruments have been moved after third, sixth and eighth readings: 0.988, 1.065, 2.090, 2.228, 2.864, 1.262, 1.982, 0.602, 1.044, 2.684 meters. The reduced level of the starting point = 432.384m. i. Rule out a page of the level book and enter the above reading ii. Carry out reductions of levels by collimation method iii. Apply the arithmetic check

7M

b) Define the following: i. Contour ii. Contour Interval iii. Bench Mark iv. Turning Point

8M

Cont…2

:: 2 ::

Unit – IV

7. a) What are the parts of a prismatic compass? Explain the function of each part. 7M b) In a closed traverse ABCDE, the bearings of the line AB was measured as 150o30’. The

included angles were measured as under: A=130o10’, B=89o45’, C=125o22’, D=135o34’, E=59o9’ Calculate the bearing of all other lines.

8M

8. a) Explain the terms: i. Magnetic meridian ii. Dip iii. Declination iv. Isogonic lines

6M

b) The following are the bearings taken in a closed compass traverse. Compute the interior angles and correct them for observational errors:

Side Fore- bearing Back-bearing AB 142° 30’ 322° 30’ BC 223° 15’ 44° 15’ CD 287° 00’ 107° 45’ DE 12° 45’ 193° 15’ EA 60° 00’ 239° 0’

9M

Unit – V

9. a) Describe various accessories of plane table. Give the functions of each. 7M b) Explain different types of errors in plane table surveying.

8M

10. a) What is orientation? What are different methods of orientation of a plane table? 7M b) Explain the procedure of graphical method of plane table by Bessel’s method. 8M





BUILDING MATERIALS AND CONSTRUCTION (Civil Engineering)



Unit – I

1. a) What do you mean by dressing of stones? Discuss various types. 7M b) Define quarrying of stone and briefly explain the method of quarrying of stones.

8M

2. a) What are the characteristics of good tiles? 5M b) Classify the types of bricks in brief. 10M

Unit – II

3. a) List the various stages of processing of timber. Write a note on various methods of seasoning of wood.

8M

b) Explain the manufacturing process of cement by dry process method.

7M

4. a) List the physical properties of cement. Explain any two. 8M b) Explain the importance of preservation of timber and the methods of preservation. 7M

Unit – III

5. a) Classify the stone masonry. Give safe permissible load on the following types of stone masonry with cement mortar: i. Coursed rubble masonry ii. Ashlar masonry iii. Random rubble masonry

6M

b) Explain with neat sketches: i. Square Rubble (Uncoursed) ii. Square Rubble (Built to courses) iii. Ashlar Fine Tool

9M

6. a) What are the different types of brick masonry? List out the types of bonds in brick work. 7M b) What is strap footing? Explain the load transfer mechanism in strap footing with a neat

sketch. 8M

Unit – IV

7. a) What are the classifications of arches based on materials? Explain them in brief with neat sketches.

7M

b) Explain the method of laying Concrete and Terrazzo flooring.

8M

8. a) Write a note on: i. Glazed windows ii. Panelled doors

8M

b) What are lintels? Explain the classification of lintels with neat sketches. 7M

Cont…2

::2::

Unit – V

9. a) What are the various methods of damp proofing? Explain them briefly. 8M b) What are the constituents of paint? Explain briefly.

7M

10. a) What is underpinning? List the circumstance under which underpinning is adopted. Explain any one method with a neat sketch.

8M

b) What is plastering? What is the importance of plastering? 7M





FLUID MECHANICS (Civil Engineering)



Unit – I

1. a) Distinguish between: i. Specific weight and specific volume ii. Density and relative density iii. Adhesion and cohesion

9M

b) Calculate capillary depression when two vertical plates separated by a distance 0.04mm are dipped in a dish of mercury. Assume a surface tension force of 0.5248N/m and a contact angle of 128.90.

6M

2. a) Explain with neat sketch the working principle of the following: i. Inverted differential manometer ii. Micro manometer

8M

b) A vessel of uniform area of 1000mm2 and height 2meters contains water to a depth 1.5m and oil of specific gravity 0.8 for the remaining portion. The vessel is open to the atmosphere. Find the gauge pressure and absolute pressure on the base of the vessel.

7M

Unit – II

3. a) Define velocity potential function and stream function. 6M b) A stream function is given by 5 6 .x y Calculate the velocity components and also

magnitude and direction of the resultant velocity at any point.

9M

4. a) Define vortex flow. Explain the types of vortex flow. 6M b) An open circular cylinder of 15cm diameter and 100cm long contains water up to a height

of 80cm. find the maximum speed at which the cylinder is to be rotated about its vertical axis so that no water spills.

9M

Unit – III

5. a) Identify and explain the growth of boundary layer over a flat plate. 5M

b) If the velocity profile in boundary layer is given by u yU

calculate the:

i. Displacement thickness ii. Momentum thickness iii. Energy thickness in terms of the nominal thickness of the boundary layer

10M

6. a) List and explain the types of drags. 7M b) A submarine which may be supported to approximate a cylinder 3m in diameter and 15

m long travels submerged at 1.54m/s in sea water at 4oC. Find the drag exerted on it. Take kinematic viscosity of sea water at 4oC as 1.67x10-6m2/s and mass density as 1025kg/m3. Also find the friction drag. Cd=0.7.

Cont…2

8M

::2::

Unit – IV 7. a) Explain the parts of Venturimeter and its design consideration and derive discharge

equation for Venturimeter. 9M

b) A vertical venture meter 40cm x 20cm is provided in a vertical pipe to measure the flow of oil of relative density 0.80. The difference in elevations of the throat section and the entrance section is 0.5m, the direction of flow being upward as shown in Fig.1. The oil-mercury differential gauge shows deflection of mercury equal to 40cm. Determine the quantity of oil flowing in the pipe. Neglect the losses:

Fig.1

6M

8. a) Derive discharge equation for flow over triangular notch. 9M b) A rectangular weir 6m long is divided into 3 bays by two vertical posts each 0.3m wide.

Find the discharge when the head is 0.45m, Crest length 3.05m, Cd = 0.6.

6M

Unit – V

9. a) What are the causes for minor and major energy losses in pipes? Explain. 7M b) For the distribution main of a city water supply a 36cm diameter pipe is required. As

pipes above 30cm are not available, two parallel mains of the same diameter are used. Assuming the friction factor of all the pipes to be same, determine the diameter of the parallel mains.

8M

10. a) Derive Darcy-Weisbach equation for loss of head due to friction in pipes. 8M b) Two pipes 1 and 2, each of 10cm diameter branch off from a point A in a and rejoin at B.

Pipe 1 is 400m long and pipe 2 is 600m long. The total head at A is 30m. A short pipe 8cm diameter is fitted at B and the flow is discharged into atmosphere through it Fig.2. Assume f= 0.02 for both the pipes. Find the total discharge and division of discharge in pipes 1 and 2.

Fig.2

7M





STRENGTH OF MATERIALS-I (Civil Engineering)



Unit – I

1. a) Define the terms factor of safety and normal stress. 5M b) Calculate the Modulus of rigidity and Bulk modulus of cylindrical bar of diameter 20mm

and length 2.0m, if the longitudinal strain in bar during tensile test is four times the lateral strain. Find the change in volume, when bar is subjected to pressure of 100N/mm2 and E=2 x 105N/mm2.

10M

2. a) Derive the relationship between modulus of elasticity and modulus of rigidity. 5M b) A bar of 20mm diameter is tested in tension, is observed that a load of 37.7KN is applied.

The extension measured over a gauge length of 200mm is 0.12mm and contraction in diameter is 0.0036mm. Find Poisson ratio and the elastic constants E, G, and K.

10M

Unit – II

3. a) Sketch different types of beams and supports. 5M b) Draw the shear force and bending moment diagram for the beam shown below Fig.1.

Fig.1

10M

4. a) Obtain the relationship between load intensity, shear force and bending moment. 5M b) Draw the SF and BM diagrams for the beam shown below Fig.2.

Fig.2

10M

Unit – III

5. a) Define the Thin Cylinder and Thick Cylinder. 2M b) A Cylinder of Inner diameter of 3.0m and Thickness of 6.0cm contain gas. If tensile stress

in material not exceed 80 N/ mm2. Determine the Internal pressure of gas. Derive the expression for circumferential stress and longitudinal stress.

13M

6. a) Derive the expression for volumetric strain in Thin cylinder. 8M b) Find the thickness of metal necessary for a cylindrical shell of inner diameter 180 mm to

with stand an internal pressure of 8.0N/mm2. The maximum hoop stress in section is not exceeding 35 N/mm2.

7M

Cont…2

:: 2 ::

Unit – IV

7. a) Define the terms: i. Bending stress ii. Neutral axis iii. Shear stress iv. Section modulus

4M

b) An I-section shown in Fig.3 is simply supported over span of 12.0m. If permissible bending stress is 100 N/mm2. Determine concentrated load can be carried at a distance of 5.0m from support?

Fig.3

11M

8. a) What are the assumptions made in Bending Theory? 6M

b) Prove the relationship M f EI Y R

9M

Unit – V

9. a) Calculate the Deflection of simply support beam carries Uniform Distribution Load of W/m over entire span.

7M

b) A Cantilever beam of 150mm wide and 300mm deep and 3.0m long. And what is the Uniform Distribution Load which the beam can carry in order to produce a deflection of 5.0mm at free end? Take E=200 GN/m2.

8M

10. a) Determine the deflection of Cantilever beam is shown in Fig.5.

Fig.5

7M

b) A simply supported beam as shown in Fig.6 is carrying two point loads. Find the Deflection at point of application of the loads. Take EI=41500 KN/m2.

Fig.6

8M

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