DISCRETE MATHEMATICAL STRUCTURES · 2018-12-10 · 2. a) Convert the following pairs of decimal numbers to 5-bit 2 [s-complement numbers, then perform addition and subtraction on

Hall Ticket No: Question Paper Code: A3505

(AUTONOMOUS) B. Tech III Semester Regular/Supplementary Examinations, November - 2017

(Regulations: VCE-R15)

DISCRETE MATHEMATICAL STRUCTURES

(Common to Computer Science and Engineering & Information Technology)

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

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1.

a) Prove or disprove p p q q is a contingency using a truth table.

7M

b) By using logic equivalence, prove or disprove ( p (p q)) q T .

8M

2. a) Obtain the principal disjunctive normal form of P Q P R Q R using

the truth table.

7M

b) Suppose you have predicates A(x), E(x) and W(x). Negate the following logical statements and then push all negations inward so that they are only acting on predicates. For example, if you are given x E (x), negate it as ¬( x E(x)). Then push in the negation getting ¬E(x). Also, state whether the statement is a predicate or a proposition. You may assume that the domain of discourse is the same for the three predicates A(x),E(x),and W(x). (you also need to use A(x)→E(x)≡¬A(x) E(x) to push in negations on implications).

8M

Unit – II

3. a) i. Find the range of f(x), where f(x): R → R and f (x) = x2 / (x2 + 1). ii. Draw a Hasse diagram for (A, divisibility relation), where:

I. A = 1, 2, 3, 4, 5, 6, 7, 8 II. A = 1, 2, 3, 5, 11, 13 III. A = 2, 3, 4, 5, 6, 30, 60 IV. A = 1, 2, 4, 8, 16, 32, 64 V. A = 1, 2, 3, 6, 12, 24 VI. A = 2, 4, 6, 12, 24, 36

10M

b) The following arrays describe a relation R on the set A = 1, 2, 3, 4, 5, 6,.7, 8, 9, 10 Compute both the digraph of R and the matrix M. i. VERT=(6, 2), (8,7),(10, 2) ii. TAIL=(2, 2), (1, 1), (4, 3), (4, 5) iii. HEAD=(4, 3), (5,1), (2, 3), (5, 4), (2, 4) iv. NEXT=(3, 1), (4, 10), (10, 5), (9, 10), (10,10)

5M

4. a) Given A=2, 3, 4, B = 2, 5, 6, 7. Construct examples of each of the following: i. All injective mappings from A to B ii. All surjetive mappings from A to B which is not injective iii. All bijective mappings from B to A

7M

b) Let R be relation defined on the set of natural number N as follows: R=(x, y): x N,y N, 2x+y=41 Find the domain and range of the relation R. Also, verify whether R is reflexive, symmetric and transitive.

8M

Cont…2

:: 2 ::

Unit – III

5. a) Define the following and give suitable examples for each: i. Lattice ii. Sub lattice iii. Distributive lattice iv. Complemented lattice

7M

b) Let n be a positive integer and Sn be the set of all divisors of n. let D denote the relation of “division”. Draw the diagrams of lattices (Sn, D) for n=6, 8, 24 and 30.

8M

6. a) Define the following and give suitable example for each: i. Euler Circuit ii. Hamiltonian Circuit

7M

b) Show that the following two graphs are not Isomorphic.

Fig.1

8M

Unit – IV

7. a) There are 30 females and 35 males in the junior class while there are 25 females and 20males in the senior class. In how many ways can a committee of 10 be chosen so that there are exactly 5 females and 3 juniors on the committee?

7M

b) How many ways are there to select 2 cards (without replacement) from a deck of 52? How many ways are there to select the 2 cards such that: i. The first card is an ace and the second card is a king ii. The first card is an ace and the second is not a king iii. The first card is a heart and the second is a club iv. The first card is a heart and the second is a king v. The first card is a heart and the second is not a king

8M

8. a) Determine the coefficients of: i. x5y2 in the expansion of (2x-3y)7 ii. p2q3r2s5 in the expansion of (p+2q-3r+2s+5)16 iii. Find the number of terms in expansion of (a+3b-4c+2d)12

9M

b) From a group of 10 professors how many ways can a committee of 5 members be formed so that at least one of Professor A and Professor B will be included.

6M

Unit – V

9.

a) Solve the recurrence relation ( 1) 3n

n na a where 0 1a by substitution method.

7M

b) Solve the recurrence relation using generating functions

1 2 39 26 24 0n n n na a a a where 0 1 20, 1, 10a a a .

8M

10. a) Find the solution of the recurrence relation using characteristic roots

1 2 37 16 12 0n n n na a a a where 0 1 21, 4, 8.a a a

8M

b) Find a particularsolution to the following inhomogeneous recurrence relation

1 25 6 2 2n

n n na a a for n .

7M




COMPUTER ORGANIZATION AND MICROPROCESSORS

(Computer Science and Engineering)



Unit – I

1. a) Briefly discuss the Connection between the processor and the main memory in a computer system.

8M

b) An 8-bit register contains the binary value 10011100. What is the register value after an arithmetic shift right? Starting from the initial number 10011 100, determine the register value after an arithmetic shift left, and state whether there is an overflow.

7M

2. a) Convert the following pairs of decimal numbers to 5-bit 2’s-complement numbers, then perform addition and subtraction on each pair. Indicate whether or not overflow occurs for each case: i. 7 and 13 ii. −12 and 9

8M

b) Design a digital circuit that performs the four logic operations of exclusive OR, exclusive-NOR, NOR, and NAND. Use two selection variables. Show the logic diagram of one typical stage.

7M

Unit – II

3. a) Briefly explain microprogrammed control organization with neat block diagram. 7M b) Show the step-by-step multiplication process using booth algorithm when the following

binary numbers are multiplied. Assume 5 bit registers that hold signed numbers the multiplicand in both cases is + 15: i. (+15) x (+13) ii. (+15) x (-13)

8M

4. a) Briefly explain the SIMD Array processor. 7M b) Derive an algorithm in flow chart form for the comparison of two signed binary numbers

when negative number are in signed 2’s Complement representation: i. By means of a subtraction operation with the signed 2’s Complement numbers ii. By Scanning and comparing pair of bits from left to right

8M

Unit – III

5. a) Illustrate the process computing addition of 16bit offset in IP to 16bit segment base address in CS to produce 20bit physical address.

8M

b) Explain the process of addition of Stack Segment Register and Stack Point Register to produce physical address of the stack.

7M

6. a) Briefly discuss different addressing modes in 8086 programming with an example for each.

8M

b) Explain the internal architecture of 8086 with help of block diagram. 7M

Cont…2

:: 2 ::

Unit – IV

7. a) Write an assembly language program by implementing a simple procedure named sum that adds the variables stored in the CX and DX register and returns the sum in the AX register.

8M

b) List and briefly explain different assembler directives in 8086 assembly language program with an example for each.

7M

8. a) Write an Assembly Language Program to evaluate a postfix expression. 8M b) Write an assembly language program to count number of vowels in a given string.

7M

Unit – V

9. a) Explain basic working modes of operation in 8255 that can be selected by the system software.

7M

b) Explain the block decoding address decoding technique in detail.

8M

10. a) Explain the working principle of Digital to Analog and Analog to Digital converter interfacing.

7M

b) Design a stepper motor controller and write an ALP to rotate shaft of a 4-phase stepper motor: In clockwise 5 rotations In anticlockwise 5 rotations. The 8255 port A address is 0740h. The stepper motor has 200 rotor teeth. The port A bit PA0 drives winding Wa, PA1 drives winding Wb and so on. The stepper motor has an internal delay of 10msec. Assume that the routine for this delay is already available.

8M




DIGITAL LOGIC DESIGN

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



Unit – I

1. a) Implement the following Boolean expressions using minimum number of 2 input NAND gates only: i. Y = ABCD ii. Y = A’B+AB’

7M

b) Represent the following expressions in both canonical maxterm and minterm forms in decimal notation: i. F= x’y+yz ii. F= (a’ + b) (b + c’)

8M

2. a) Perform the following: i. (11010)2 - (10000)2 Using 1’s and 2’s complement methods ii. (1000100)2 - (1010100)2 Using 1’s and 2’s complement methods

8M

b) Express the following functions by a minterm canonical form: i. F(a, b, c) = (a + b’) (a + c) ii. F(a, b, c) = a’(b’+c) + c’

7M

Unit – II

3. a) Obtain all the prime implicants and essential prime implicants for the following Boolean expression using Karnaugh map. f(a, b, c, d) = a’c’d + a’cd +b’c’d’ +ab’c +a’b’cd’.

8M

b) Find the minimal products of the following Boolean function using Karnaugh map. f(a, b, c, d)=Σm(7, 9, 11, 12, 13, 14)+ Σd(3, 5, 6, 15).

7M

4. a) Find the prime implicants and the essential prime implicants of the following Boolean function using Karnaugh map. f(a, b, c, d)=Σm(1, 3, 5, 7, 8, 10, 12, 13, 14)+ Σd(4, 6, 15).

6M

b) Obtain all the prime implicants of the following Boolean function using Quine-McCluskey method. f(a, b, c, d)=Σm(0, 2, 3, 5, 8, 10, 11).

9M

Unit – III

5. a) Design a general purpose adder/subtractor circuit that can perform one’s complement and two’s complement subtraction.

8M

b) Differentiate between synchronous and asynchronous sequential circuit.

7M

6. a) Explain the working of a JK flip-flop. What is race around condition? How can it be eliminated?

8M

b) Realize the function f(A, B, C, D)=∑m(0, 1, 5, 7, 10, 14, 15) using: i. 16:1 Multiplexer ii. 8:1 Multiplexer

7M

Unit – IV

7. a) What is the shift register? What are the four modes of operation? Explain in detail. 8M b) Implement the following functions using PLA:

F1(a,b,c) = Σ m (1,2,3,6), F2(a,b,c) = Σ m (0,1,3,6,7). 7M

Cont…2

:: 2 ::

8. a) Design MOD-8 twisted ring counter using D Flip-Flops and write the sequence of MOD-8

twisted ring counter. 7M

b) Design a ripple 4-bit UP counter. How will you convert the same counter to down counter?

8M

Unit – V

9. a) Write the excitation table and state diagram for the sequential circuit shown in Fig.1.

Fig.1

8M

b) What are synchronous sequential circuits? Explain the differences between Mealy and Moore models.

7M

10. a) What are the salient features of ASM charts? Give an example. 8M b) Write the state diagram for the given excitation table.

Present State Next State Output

Q1 Q0 X=0 X=1 X=0 X=1

Q1(t+1) Q0(t+1) Q1(t+1) Q0(t+1) y y

0 0 0 0 0 1 0 0

0 1 1 1 0 1 0 0

1 0 1 0 0 0 0 1

1 1 1 0 1 1 0 0

7M




DESIGN AND ANALYSIS OF ALGORITHMS




Unit – I

1. a) Define and explain asymptotic upper bound function with a help of a simple graph and a simple mathematical function example.

6M

b) Write a Recursive Pseudocode for Merge sort. Sort the below given sequence by showing each step of Merge sort. Initial Sequence: 14 7 3 12 9 11 6 2.

9M

2. a) Explain Master’s Theorem with examples. 5M b) Write the Binary Search Pseudocode for iterative version and Recursive version. What is

the worst case time complexity for the above two algorithms? Is the Analysis same or different for each version?

10M

Unit – II

3. a) Given a set S of n activities with start time 𝑠𝑖 and finish time 𝑓𝑖 of activity 𝝯𝑖, find a maximum size subset A of compatible activities (maximum number of activities). Activities are compatible if they do not overlap. Can you suggest a greedy choice?

8M

b) Consider the following network of a highway map, and the number on the edge is the maximum elevation encountered in traversing the edge. A traveler plans to drive from node 1 to node 12 on this highway. This traveler dislikes high altitudes and so would like to find a path connecting node 1 to node 12 that minimizes the maximum altitude. Formulate this as a minimum spanning tree problem and find the best path for this traveler.

Fig.1

7M

4. a) Discuss how greedy approach can be used for knapsack problem. Outline Greedy algorithm for knapsack.

7M

b) Explain optimal storage on tapes and find the optimal order for given instance n = 3, and (L1, L2, L3) = (5, 10, 3).

8M

Unit – III

5. a) Measure the String Edit distance between strings PARK and SPAKE using dynamic programming. Consider 1 unit of cost for insert, delete and 2 units of cost for change.

7M

b) Give a dynamic-programming solution to the 0-1 knapsack problem that runs in O(nW) time, where n is the number of items and W is the maximum weight of items that the thief can put in his knapsack.

8M

Cont…2

:: 2 ::

6. a) Find All pairs shortest paths for the following graph:

Fig.2

7M

b) Show how to multiply this matrix chain optimally and also calculate the minimum number of multiplications, show the steps of calculations.

Matrix Dimension

A1 30x35

A2 35x15

A3 15x5

A4 5x10

A5 10x20

A6 20x25

8M

Unit – IV

7. a) Write the complete pseudocode for solving n-Queens problem using Backtracking. 6M b) Show each step of BFS for the below given graph – Consider Source vertex as S.

Fig.3

9M

8. a) Draw the DFS Tree for the following graph – Consider Source vertex as x.

Fig.4

7M

b) Draw a tree that shows all possible 3-colouring for the below given graph.

Fig.5

Also find the maximum number of solutions that can exist for this graph for 3-colouring mention atleast 2 solutions that exist.

8M

Cont…3

:: 3 ::

Unit – V

9. a) Explain NP-complete class. Show the relation between P, NP, NPC problems using a venn diagram.

5M

b) Solve the below given TSP Matrix using branch and bound method. Give the state space tree for the same.

1 2 3 4 5

1 - 10 8 9 7

2 10 - 10 5 6

3 8 10 - 8 9

4 9 5 8 - 6

5 7 6 9 6 -

10M

10. a) Explain NP-Hard class. Show the relation between P, NP, NPC, NP Hard problems using a venn diagram.

5M

b) Consider the knapsack instance n=4, M=15, (p1,p2,p3,p4)=(10,10,12,18) and (w1,w2,w3,w4)=(2,4,6,9). Draw the FIFO branch and bound tree for the above.

10M




OBJECT ORIENTED PROGRAMMING




Unit – I

1. a) What is the use of ‘this’ keyword in Java? Bring out the significance of using ‘this()’ in constructor overloading with a suitable example.

8M

b) Consider the following code snippets:

public class Test public static void main(String[] args) System.out.print("Y" + "O"); System.out.print('L' + 'O');

public class Test public static void main(String[] args) System.out.print("Y" + "O"); System.out.print('L'); System.out.print('O');

What is the output of the code? Justify (Hint: ASCII Values of Y is 89, L is 76 and O is 79).

7M

2. a) What is a nested class? What are the two types of nested classes in Java? 8M b) Write a Java method that accepts two strings as parameters and returns a string that

contains all unique two-character strings whose first character comes from the first string and second character comes from the second string. All two-character strings in your returned string should be separated by a space. Use ordinary string concatenation in your solution. Look at the examples below for a "hint" on how to proceed and look at the String API for methods you can use to simplify your solution.

First string Second string Returned string

ABCD EFGH AE AF AG AH BE BF BG BH CE CF CG CH DE DF DG DH

ACDC ABBA AA AB CA CB DA DB

7M

Unit – II

3. a) What is inheritance? Explain the types of inheritance supported by java. 10M b) What is interface? Can interface be extended? Give an example.

5M

4. a) Illustrate the concept “Dynamic method dispatch” with a suitable example program. 7M b) Answer the following:

i. Can I import same package/class twice? Will the JVM load the package twice at runtime

ii. Are the imports checked for validity at compile time? Explain iii. If interface and abstract class have same methods and those methods contain no

implementation which one would you prefer iv. Why abstract classes cannot be instantiated

8M

Cont…2

::2::

Unit – III 5. a) i. What are the states/lifecycle of a thread? Explain with a neat diagram

ii. Differentiate between Error and Exception 9M

b) Suppose that a statement2 causes an exception in the following try-catch block. try Statement1; Statement2; Statement3; catch (Exception1 el) catch (Exception2 e2) statement4; Answer the following and justify your answer: i. Will the statement3 be executed ii. If the exception is not caught, will statement4 be executed iii. If the exception is caught in the catch clause, will statement4 be executed

6M

6. a) Explain thread priority. Write a program to demonstrate getPriority() and setPriority() methods.

10M

b) What is a stream? Explain Byte Stream and Character Stream.

5M

Unit – IV

7. a) Write a program to accept a single string from command line. Rather than writing to the screen, the program must open a new window and displays the string in that window. Note that, the background color of the new window should be red, and the color of the text must be blue.

8M

b) Most AWT listener interfaces, unlike ActionListener, contain more than one method. For example, the MouseListener interface contains five methods: mousePressed, mouseReleased, mouseEntered, mouseExited, and mouseClicked. Even if you care only about mouse clicks, if your class directly implements MouseListener, then you must implement all five MouseListener methods. Unfortunately, the resulting collection of empty method bodies can make code harder to read and maintain. Suggest a solution for this problem.

7M

8. a) Write a Program in Java that creates a Frame containing two components: A TextField that initially contains "Hello World!". (Note that the user will be able to modify the text in this TextField.) A button labelled "reset". When the user clicks this button with the mouse, the text in the TextField is reset to contain "Hello World!". (Note: to reset the text, you will need to use a method of the TextField's parent class.)

9M

b) Is it possible to create a set of mutually exclusive check boxes in which one and only one check box in the group can be checked at any one time? Justify your answer.

6M

Unit – V

9. a) In Java, with the JTree class, you can display hierarchical data. Write program to create a tree node with title “Java Series” with two categories of books namely “Books for Java Programmers” and “Books for Java Implementers”. Add two to three books to each of these categories.

10M

b) Explain briefly passing parameters to applet through a program to add two integer values.

5M

10. a) Outline any five attributes of the HTML APPLET Tag. 5M b) Here is a picture of an applet that has two checkboxes:

A checkbox generates an item event. Write relevant Java code for creating the checkboxes shown in the picture and for reacting to clicks by displaying suitable messages on the status bar.

10M




DATABASE MANAGEMENT SYSTEMS (Information Technology)



Unit – I

1. a) Define database administrator (DBA). Discuss the functions of DBA. 5M b) Construct an E-R diagram for a COMPANY database with the following requirements:

The company is organized into DEPARTMENTs. Each department has a unique name, unique number and an employee who manages the department. We keep track of the start date of the department manager. The department may have several locations. We store each EMPLOYEE’s social security number, address, salary, gender and DOB. Each employee works for one department. We also keep track of the direct supervisor of each employee. Each employee may have a number of DEPENDENTs. For each dependent, we keep track of their name, gender, DOB and relationship to employee. Give each step in the construction of E-R diagram.

10M

2. a) How can we identify weak entity? What are the restrictions that hold on weak entity? Explain with an example.

7M

b) Consider a two-dimensional integer array of size n×m that is to be used in your favourite programming language. Using the array as an example, illustrate the difference between: i. Three levels of data abstraction ii. Schema and Instances

8M

Unit – II

3. a) Explain the ‘PROJECT' operation in relational algebra. Compare the different joins in relational algebra.

9M

b) Consider the following relations: Sailors(sid, sname, rating, age) Boats(bid, bname, color) Reserves(sid, bid, day) Write the following queries in SQL. No duplicates should be printed in any of the answers: i. Display the details of sailors who have reserved a red and a green boat ii. Find the age of the sailors whose name begins and ends with B and has at least

four characters iii. Find the names of sailors who are older than the oldest sailor with a rating of 10

6M

4. a) What is a view? How do views support logical data independence? Howare views used for security? How are queries on views evaluated? Whydoes SQL restrict the class of views that can be updated?

9M

b) Consider the following schema: MEMBER(Memb_no, Name, Bdate) BOOKS(ISBN, Title, Authors, Publisher) BORROWED(Memb_no, ISBN, Date) Write the following queries in RELATIONAL ALGEBRA: i. Find the names of members who have borrowed any book by “McGraw-Hill”. ii. For each publisher, find the name, and membership number of members who

have borrowed more than five books of that publisher. iii. Retrieve the names of members who have not borrowed any of the books.

6M

Cont…2

::2::

Unit – III

5. a) Consider the following relational schema for LINEITEM: LINEITEM (OrderNumber, ItemNumber, Description, Price, Quantity) i. Find the functional dependencies and a key of the relation above ii. What normal form is the above LINEITEM relation in iii. What are some disadvantages of this choice of schema

7M

b) Given below is the set F of functional dependencies for the relational schema R = A, B, C, D, E, F, G, H, I, J H, D A (1) D E, F, G (2) H, D, B C, J (3) H I, J (4) A B, C (5) i. Identify the minimal key ii. Decompose the relation into a collection of relations that are in BCNF

8M

6. a) Give an example of a relation that is in second normal form but not in third normal form. List all functional dependencies. Explain why it is in 2NF and not in 3NF.

8M

b) Suppose you are given a relation R(A, B, C, D, E). For each of the following (complete) sets of FDs, identify the candidate key(s) for R, and state whether or not the proposed decomposition of R into smaller relations is a “good” decomposition and briefly explain why or why not. i. A → B, B → CE, C → D ii. C → A, B → D

7M

Unit – IV

7. a) Discuss the state diagram corresponding to a transaction. 8M b) Explain the reasons behind Transaction Failure and System Crash.

7M

8. a) Explain briefly how a lock manager processes requests. 8M b) Consider the following two transactions:

T34: read(A); read(B); if A = 0 then B := B + 1; write(B). T35: read(B); read(A); if B = 0 then A := A + 1; write(A). Add lock and unlock instructions to transactions T34 and T35, so that they observe the two-phase locking protocol. Can the execution of these transactions result in a deadlock?

7M

Unit – V

9. a) Describe how search, insert and delete operations work in ISAM indexes. 8M b) Illustrate the volatile and nonvolatile storage devices and differentiate them with respect

to cost and speed.

7M

Cont…3

:: 3 ::

10. a) Which of the five organizations would you choose for a file where the most frequent operations are as follows? i. Search for records based on a range of field values ii. Perform inserts and scans, where the order of records does not matter iii. Search for a record based on a particular field value

6M

b) Consider the B+ tree index of order d=2 shown in Fig.1:

Fig.1

i. Show the tree that would result from inserting a data entry with key 9 into this tree ii. Show the B+ tree that would result from inserting a data entry with key 3 into the

original tree. How many page reads and page writes does the insertion require iii. Show the B+ tree that would result from deleting the data entry with key 8 from the

original tree, assuming that the left sibling is checked for possible redistribution

9M




MATHEMATICS-III

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



Unit – I

1.

a) Express dxxx pnm )1(

1

0

in terms of the function and hence evaluate dxxx 1031

0

5 )1(

8M

b)

Find the value of

1 12

4 40 0

1

1 1

xdx dx

x x

7M

2. a) Prove the following: 0 2 4

i. cos( sin ) 2 cos 2 cos 4 ...x J J J 1 3

ii. sin( sin ) 2 sin sin 3 ...x J J

8M

b) Prove that 1

1

( ) ( ) 0m n

P x P x dx

for m n

7M

Unit – II

3.

a) Show that the function 2

f x z is continuous at every point but is not differentiable at

any point other than the origin.

7M

b) Find the constant such that cos3xu e y is the real part of analytic function

( )f z u iv . Also find the imaginary part of ( )f z

8M

4.

a) If ( )f z is analytic function of z , prove that 2 2

2 2

2 2( ) 4 '( )f z f z

x y

8M

b) Find the analytic function ( )f z u iv given (cos sin )xu v e y y

7M

Unit – III

5.

a)

Find the image of the circle | 2 | 2z i under the transformation 1zw

7M

b) Find the bilinear transformation that transforms the points , 0, 1 onto the points

1, 1, i respectively.

8M

6.

a) Show that the transformation 1zw z maps the interior of semi circle 1r in the

upper half -z plane into the lower half -w plane and the exterior of the semicircle 1r

in the upper half -z plane into upper half -w plane.

8M

b) Find the principal value of 2i

7M

Cont…2

::2::

Unit – IV

7. a) State and prove Cauchy’s integral theorem. 8M

b) Evaluate 2

C

z dz along the straight line from 0z to 3z i

7M

8.

a) Evaluate 2( 1)( 2)

C

zdz

z z using Cauchy’s integral formula, where 12

:| 2 |C z

7M

b) Find the Laurent’s series expansion of 1

( )( 2)( 3)

zf z

z z

in the region 2 3z

8M

Unit – V

9.

a) Evaluate 2 2( 4)

C

dz

z using Residue theorem, where :| | 2C z i

7M

b) Determine the poles and residues of the function 2

2( 1)( 2)

zf z

z z

8M

10.

a) Evaluate

2

0

1 2cos

5 4cosd

7M

b) Use the method of contour integration to prove that 2

0

2

cos, 0

1

mmxdx e m

x

8M




ELECTRONIC CIRCUIT ANALYSIS

(Electronics and Communication Engineering)



Unit - I 1. a) Discuss Miller theorem for CE amplifier and derive the expression for output impedance. 6M b) Calculate the Av ,AI, Zi for the circuit if hfe=100,hoe=25µA/V, hre=2.5X10-4 and hie=1.1KΩ

Fig:1

9M

2. a) Derive the expression for Current gain AI and Voltage gain AV for a common emitter configuration with unbypassed Emitter resistor.

8M

b) Draw the circuit of two Stages RC Coupled Amplifiers. Derive the expression for Overall Voltage gain AV and input impedance Zi.

7M

Unit – II 3. a) Derive gm, rb’e, rb’c and rce from h-parameters in Common Emitter configuration. 9M b) Define fβ and fT for CE short circuit with relevant equation. CE short circuit with

gm=50mA/V, rb’e=1KΩ, Ce=1pF and Cc=0.2pF, determine the values of fβ and fT.

6M

4. a) Explain the Gain Bandwidth product of the CE transistor in Hybrid π model. 6M b) The following low frequency parameters are known for given transistor at Ic=10mA,

Vce=10V and at a room temperature hie=500Ω, hfe=100, hoe=4×10-5A/V, hre=10-4 at the same operating point fT=50MHz and Cob=3pF. Compute the values of all the hybrid π-parameters.

9M

Unit – III

5. a) Explain the effect of negative feedback on transfer gain, input and output impedance. Illustrate with relevant expressions.

8M

b) Analyze voltage series feedback amplifiers using suitable diagrams and expressions.

7M

6. a) With the help of neat circuit diagram explain the operation of Hartley oscillator circuit 8M b) List the merits of Hartley oscillator. In Hartley oscillator L1=2mH, L2=20µH and capacitance

is variable. Find the range of C if the frequency varied from 950KHz to 2.05MHz, neglect the mutual inductance.

7M

Cont…2

:: 2 ::

Unit – IV 7. a) Explain Operation of Class A amplifier with direct coupled resistive load. Derive the

expression for output power. 8M

b) A class B amplifier provides a 20v peak output signal to 15Ω load .The system operates on a power supply of 25V. Determine the efficiency of the amplifier.

7M

8. a) What are Power amplifiers? How are they classified depending upon their mode of operation?

6M

b) Explain the following concepts with respect to large signal amplifiers: i. Crossover distortion ii. Harmonic distortion iii. Complimentary symmetry push pull class B amplifier

9M

Unit – V

9. a) Draw a small signal tuned amplifier consisting of parallel tuned circuit. Discuss the design parameters of the network.

8M

b) A single tuned RF amplifier uses a transistor with an output resistance of 50K, ouput capacitance of 15pF and input resistance of next stage is 20KΩ the tuned circuit consists of 47pF capacitance in parallel with series combination of 1µH inductance and 2Ω resistance. Calculate: i. Resonant frequency ii. Effective quality factor iii. Bandwidth

7M

10. a) With neat diagram explain single tuned capacitive coupled Amplifier. 7M b) Design a single tuned amplifier for the following specifications

centre frequency=500KHz and bandwidth=10KHz.Assume transistor parameters gm=0.04, hfe=100, Cbe=1000pf and Cbc=100pF.the bias network and input resistance so that ri=4KΩ and RL=510Ω.

8M




SIGNALS AND SYSTEMS




Unit – I

1. a) Show that product of two even signals or of two odd signals is an even signal while the product of an even and odd signal is an odd signal.

7M

b) Perform convolution of the following signals using graphical method x1(t)= e-3t u(t), x2(t)= t u(t).

8M

2. a) Explain the operation performed on dependent variable 7M b) A continuous time signal X (t) is shown in Fig.1. Sketch and label each of the following:

Fig.1

i. x(t-2) ii. x(2t) iii. x(t/2) iv. x(-t)

8M

Unit – II

3. a) Determine the trigonometric form of Fourier series of the square wave shown in Fig.2.

Fig.2

7M

b) Consider an LTI discrete time system with input x(t)=e-3t [u(t)] and unit impulse response h(t)= e-t u(t). Find the output signal y(t).

8M

4. a) Determine the trigonometric form of Fourier series representation of the signal shown in Fig.3.

Fig.3

9M

b) Consider a continuous time LTI system with unit impulse response h(t)=u(t+2), and input x(t)=e-2t u(t); Find the output y(t) of the system.

6M

Cont…2

:: 2 ::

Unit – III

5. a) Obtain the condition for distortion less transmission through a system. 6M b) Obtain Fourier transform of the following signals:

i. Unit impulse ii. Single sided exponential signal iii. Sinusoidal signal

9M

6. a) Derive the following properties of FT: i. Linearity ii. TimeShift iii. Frequency Shift

8M

b) Determine the Fourier transform of the rectangular pulse shown in Fig.4.

Fig.4

7M

Unit – IV

7. a) State and prove initial value theorem of Laplace transform. 5M b) State convolution theorem of Laplace transforms. Perform convolution of x1(t) and x2(t)

using convolution theorem and sketch the resultant waveform where x1(t)= u(t)-u(t-1) and x2(t)= u(t)-u(t-2).

10M

8. a) Find the Inverse Laplace transform of X(s)=(3S+4)/(S+1)(S+2)2. 8M b) Determine the Laplace transform of x(t)=eatu(t) and depict ROC and location of poles and

Zeros in the S-plane. [a is real]. 7M

Unit – V

9. a) State sampling theorem. What are the several ways of sampling continuous time signal? Explain ideal sampling.

7M

b) Find the Z-Transform of x(n)= αnu(n-1).

8M

10. a) Define initial and final value theorem of Z-Transform. 5M b) Find the Inverse Z-Transform of the sequence X(Z)=Z/(3Z2-4Z+1) for the following ROC’s.

i. 1Z

ii. 1/ 3Z

iii. 1/ 3 1Z

10M




ELECTRICAL MACHINES-I (Electrical and Electronics Engineering)



Unit – I

1. a) Draw a neat sketch of a d.c machine and label the parts. 7M b) A 4 pole, lap wound d.c shunt generator has a flux per pole of 0.07 webbers. The

armature winding consists of 220 turns each of 0.004 ohms resistance. Calculate the terminal voltage when running at 900 r.p.m if the armature current is 50 A.

8M

2. a) With usual notations derive the expressions for demagnetizing and cross - magnetizing ampere turns pole per

9M

b) Mention the advantages and disadvantages of using carbon brushes over copper brushes in d.c machines.

6M

Unit – II

3. a) Draw the circuit diagrams for series, shunt, long shunt and short shunt generators and also write relevant circuit equations.

8M

b) A d.c shunt generator has the following magnetization characteristics:

Field current 0.5 1.0 1.5 2.0 2.5 3.0 3.5

Open circuit emf 54 107 152 185 210 230 245

The armature and field resistances are 0.1 ohms and 80 ohms respectively. Calculate i. The voltage to which the machine will excite when run as a shunt generator at same

speed ii. The % reduction in speed for the machine to fail to excite on open circuit

7M

4. a) Mention the conditions to be satisfied for voltage build up in shunt generator. 5M b) A short – shunt d.c compound generator supplies 200A at 100V. The resistance of

armature, series and shunt field windings is 0.04, 0.03 and 60Ω respectively. Find the emf generated. Also find the emf generated if the same machine is connected as long shunt machine.

10M

Unit – III

5. a) Describe the experimental set up for Hopkinson’s test and explain its necessity and use. 6M b) A 10kW, 250V shunt motor has an armature resistance of 0.5Ω and a field resistance of

200Ω. At no load, and rated voltage, the speed is 1200 rpm and the armature current is 3A. At full load and rated voltage the line current is 47A and because of armature reaction, the flux is 4% less than its no load value: i. What is the full load speed ii. What is the developed torque at full load

9M

6. a) Explain Ward Leonard system of speed control with relevant diagram 7M b) A 220 volts d.c shunt motor at no load takes a current of 2.5A. The of armature and

shunt field are 0.8 ohms and 220 ohms respectively. Estimate the efficiency of motor when the input current is 20A.

8M

Cont…2

::2::

Unit – IV

7. a) How is parallel operation of transformer done? What are its advantages? Explain how it is done for transformers with equal voltage ratios?

7M

b) The efficiency of a 1000kVA, 110/220V 50hz single phase transformer is 98.5% at half fullload at 0.8pf leading and 98.8%at full load upf determine: i. Iron Loss ii. Full load copper loss iii. Maximum efficiency at upf

8M

8. a) What are the losses in a transformer? How can it be minimized? 7M b) A 400/100V, 10kVA, 2-Winding Transformer is to be employed as an auto transformer to

supply a 400V circuit from a 500V source. When tested, as a 2_winding Transformer at rated load,0.8pf lagging, its efficiency is 0.97: i. Determine its kVA rating as an auto transformer ii. Find its efficiency as an autotransformer

8M

Unit – V

9. a) Draw the circuit and phasor diagram for obtaining three phase to two phase conversion as suggested by Scott. Also write the expressions for teaser current, main currents on primary, secondary teaser current and secondary main current.

9M

b) Two transformers connected in open delta supply a 400kVA balanced load at 0.866 power factor(lag). The load voltage is 440V. What is the kVA and kW supplied by each transformer?

6M

10. a) Discuss off load and on load tap changing transformers with neat figures. 9M b) A 100kVA, 3 phase, 50Hz, 3300 / 400V, transformer is delta connected on the h.v side

and Y connected on l.v side. The resistance of the h.v winding is 3.5 ohms per phase and that of l.v winding is 0.02 ohms per phase. Calculate the iron losses of the transformer at normal voltage and frequency if it's full load efficiency is 95.8% at 0.8 power factor (lag).

6M




ELECTRO MAGNETIC FIELDS

(Electrical and Electronics Engineering)



Unit – I

1.

a) Determine electric field intensity at any point due to an infinite sheet of charge having uniform surface charge density ρs. Verify the result using Gauss’s law.

8M

b) An infinite uniform line charge ρL = 2 nC/m lies along the x axis in free space, while point

charges of 8 nC each are located at (0,0,1) and (0,0,-1). Find E at (2,3,-4).

7M

2. a) Define electric field intensity and electric flux density with their units. Obtain the electric field at any point due to an infinite line charge having line charge density ρL. Verify the result using Gauss’s law.

9M

b) State Coulomb’s Law. Point charges of 50nC each are located at A(1, 0, 0), B(−1, 0, 0), C(0, 1, 0), and D(0,−1, 0) in free space. Find the total force on the charge at A.

6M

Unit – II

3. a) State and explain: i. Ampere’s circuital law ii. Biot- Savart’s Law

8M

b) Given the field H = 20ρ2 aφ A/m: i. Determine the current density J ii. Integrate J over the circular surface ρ = 1, 0 < φ < 2π, z = 0, to determine the total

current passing through that surface in the az direction

7M

4.

a) Using Biot-Savart’s law, obtain an expression for magnetic field intensity H at any point on the axis of a circular current loop.

7M

b) A current filament on the z axis carries a current of 7 mA in the az direction, and current sheets of 0.5 azA/m and −0.2 azA/m are located at ρ = 1cm and ρ = 0.5cm, respectively. Calculate H at: i. Just inside and just outside of the current sheet where ρ = 0.5cm ii. ρ = 1.5cm

8M

Unit – III

5. a) Obtain point form of continuity equation. 7M

b) Using Laplace’s equation show that the capacitance of the concentric spheres is 4

1 1

a b

where V=0 at r=b; V=V0 at r=a; b>a.

8M

6. a) Obtain the boundary condition at the interface of a conductor and dielectric. 8M b) A solenoid of 200 turns wound tightly on a cylindrical tube of length 60cm and of

diameter 6cm, given that medium is air. Find the inductance. Derive the formula used.

7M

Cont…2

::2::

Unit – IV

7.

a)

Explain the concept of scalar and vector magnetic potential.

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. Find the unit vector showing the direction in which the charge is accelerating at t = 0.

7M

8.

a)

Explain: i. Lorentz force equation ii. Magnetic dipole moment

6M

b) Derive an expression for torque on a rectangular current loop placed in a uniform magnetic field. Find the torque vector on a square loop having corners (-2,-2, 0), (2,-2, 0), (2,2,0) and (-2,2,0) about the origin by B= 0.6ax-0.4ay T.

9M

Unit – V

9. a) Write the final set of Maxwell’s Equations for time varying fields in differential and integral form.

8M

b) A 50V voltage generator at 20MHz is connected to the plates of an air dielectric parallel plate capacitor with plate area 2.8cm2 and separation distance 0.2mm. Find the maximum value of displacement current density and displacement current.

7M

10. a) Name the two EMFs for the two cases of flux variation with respect to time. Derive an expression for both these cases starting from the Faraday’s Law of electromagnetic induction.

8M

b) In a material for which the conductivity = 5.0 S/m and εr = 2, the electric field E = 120 sin1010 t V/m. Find the conduction and displacement current densities, and the frequency at which they have equal magnitudes.

7M




NETWORK ANALYSIS

(Electrical and Electronics Engineering)



Unit – I

1. a) Derive the expression for the self inductance and mutual inductance. 7M b) For the three coupled coil, determine the total Inductance shown in Fig.1.

Fig.1

8M

2. a) Define quality factor, bandwidth and resonance. 6M b) In a series RLC circuit with C=50µF, determine the quality factor Q, R and L of the

following cases:

i. Resonance frequency 100,r bandwidth 120b

ii. Resonance frequency 100,r bandwidth 80b

9M

Unit – II

3. a) Derive the equation for the voltage and current in delta connected system 8M b) A balanced delta connected load of 2+j3Ω per phase is connected to three phase 440V

supply. The line current is 10 Amps. Find the active power, reactive power and apparent power in the circuit.

7M

4. a) A three phase balanced delta connected system of 3+j8Ω per phase is connected across 400V 3phase supply. Calculate the line currents and phase currents.

8M

b) The two wattmeter are used to measure power in a three phase load the wattmeter readings are 400W and 35W. Calculate the active power, power factor and reactive power.

7M

Cont…2

::2::

Unit – III

5. a) Determine the current iL(t) for t ≥ 0 for the circuit shown in Fig.2.

Fig.2

8M

b) Refer the circuit shown in Fig.3. Find i1(0+) and iL(0+). The circuit is in steady state for t<0.

Fig.3

7M

6. a) Derive the expression for current i(t) for the series RC circuit excited by DC voltage

source.

8M

b) Refer the RL circuit shown in Fig.4. Find the complete response for i(t) for t ≥ 0+. Take i(0) = 0A.

Fig.4

7M

Unit – IV

7. a) Explain Low pass, Band pass and Band stop filters. Draw the output verses frequency response of these filters with their cut-off frequencies.

8M

b) Design a high pass constant K filter having a cut off frequency of 1KHz with a load resistance of 600Ω.

7M

8. a) Explain T-type and Bridged T-type attenuator. Write the design expressions for these attenuators in terms of attenuation factor N.

8M

b) Design a m- derived high pass filter with cut off frequency of 10KHz, design impedance of 500Ω and m=0.4.

7M

Unit – V

9. a) Draw the locus diagram for series RL circuit with fixed L and variable R. 8M b) An RL series circuit with R=40Ω and variable inductance is in parallel with a RC series with

R=10Ω and XC=20Ω. Draw the current locus diagram for an applied voltage of 220V. Determine the minimum and maximum current.

7M

10. a) Draw the locus diagram for series RL circuit with fixed R and variable L. 7M b) A 125V source is connected to a 2 branch parallel circuit consisting of 25Ω resistor, a 25Ω

capacitive reactance and an RL section in which R is fixed 50Ω and L is varied over a wide range. Draw the current locus diagram and determine the minimum and maximum current.

8M


(AUTONOMOUS) B. Tech III Semester Regular Examinations, November - 2017


MACHINE DRAWING

(Mechanical Engineering)


Answer TWO questions from Unit - I

Unit – II is compulsory

Unit – I

1. Draw the following thread forms: i. Sharp ‘V’ thread ii. Buttress thread iii. ACME thread

15M

2. Draw the elevation and side view of cotter joint from three parts shown in Fig.1 below.

Fig.1

15M

3. Draw a double riveted lap joint with zigzag riveting. Take plate thickness as 16mm. 15M

Cont…2

:: 2 ::

Unit – II

4. Assemble all the parts of Plummer block shown in Fig.2 below, draw the following views: i. Half sectional View from the front ii. View from above

45M

Fig.2




RANDOM SIGNALS AND STOCHASTIC PROCESSES




Unit – I

1. a) Write note on uniform and exponential random variable.

7M

b) Differentiate Probability Distribution Function and Probability Density Function. List properties of density function. Write note on PDF and CDF of Gaussian Random Variable.

8M

2. a) Write note on moments of random variable. Derive expression for variance and skew. Write note on Chebyshev’s inequality.

8M

b) Determine the mean value of following exponential function:

/1

0

x a b

x

e x af x b

x a

Then from that result calculate variance and skew of the same.

7M

Unit – II

3. a) State joint density function and discuss the properties of joint density function. 7M b) Explain interval conditioning and statistical independence of multiple random variables.

8M

4. a) List the properties of multiple random variables. Discuss central limit theorem for sum of large Radom variable.

8M

b) Compute the joint characteristic function of X and Y if 1

fxy 2 exp 1 2 2

x y .2

7M

Unit – III

5. a) Define random process and state some useful classifications of random process. 6M b) Given the random process X(t)= A Sin(ωt+θ), A, ω are constants and θ is an uniformly

distributed random variable in the interval (-π, π). Define a new random process Y(t)=X2(t). Find: i. Autocorrelation function of Y(t) ii. Find the cross correlation function of X(t) and Y(t)

9M

6. a) Write a note on covariance function of random processes. 8M b) Given the random process Y t X t Cos t , where X t is a wide sense

stationary random process that amplitude modulates a carrier of constant angular

frequency . With a random phase θ independent of X t and uniformly distributed in

the interval , . Find:

i. E Y t

ii. Find the autocorrelation function of Y t

7M

Unit – IV

7. a) Discuss the relationship between power density spectrum and autocorrelation function. 8M b) Find the power spectrum of random process with the following function as

autocorrelation

2

0/ 2 cosxxR t A t

7M

Cont…2

::2::

8. a) Discuss properties of cross power density spectrum. 8M b) Discuss the relation between cross power spectrum and cross correlation function.

7M

Unit – V

9. a) Name the different types of extraterrestrial noise. Explain. 6M b) For a cascaded connection of two port networks derive the expression for overall

equivalent noise figure.

9M

10. a) For a cascaded connection of two port networks, derive the expression for overall equivalent noise temperature.

9M

b) Calculate the RMS noise voltage and thermal noise power appearing across 20Ω resistor at 250 Kelvin temperature with effective noise bandwidth of 10KHz.

6M




ELECTRICAL TECHNOLOGY (Mechanical Engineering)



Unit – I

1. a) Find the equivalent resistance between the points A and B.

Fig.1

8M

b) An alternating voltage 080 0 V is applied to a circuit and the current in the series circuit

is 04 90 A Find:

i. The impedance of the circuit ii. The power consumed by the circuit iii. The power factor of the circuit iv. Identify the circuit nature

7M

2. a) Determine the current in the 3Ω resistor for the circuit shown in Fig.2.

Fig.2

8M

b) Using source transformation technique, find the current through the 6Ω resistor in the circuit shown in Fig.3.

Fig.3

7M

Cont…2

:: 2 ::

Unit – II

3. a) Find the magnitude and direction of current in the 2-Ω resistor by using Thevenin’s theorem for the circuit shown in Fig.4.

Fig.4

8M

b) Using Nortons theorem find the current that would flow in a 20-Ω resistor connected between points N and O in Fig.5.

Fig.5

7M

4. a) State and explain maximum power transfer theorem. What is the application of this theorem?

7M

b) Using superposition theorem finds the voltage across the 20Ω resistor of the circuit shown in Fig.6.

Fig.6

8M

Unit – III

5. a) Derive the armature torque expression of a dc motor. 8M b) A 250V shunt motor runs at 1000rpm at no load and takes 8A. The total armature and

shunt field resistances are 0.2Ω and 250Ω respectively. Calculate the speed when loaded and taking 50A. Assume the flux is constant.

7M

6. a) Explain self induced and mutually induced emf. 6M b) A 10KW, 250V, DC shunt generator having an armature resistance of 0.1Ω and a field

resistance of 250Ω delivers full load at rated voltage and 800rpm. The machine is now run as a motor while taking 10KW at 250V. What is the speed of the motor? Neglect brush contact drop.

9M

Unit – IV

7. a) Explain the various losses in a transformer. How these losses are minimized? 7M b) The efficiency of a 400KVA single phase transformer is 98.77% when delivering full load

at 0.8p.f and 99.13% at half load and unity power factor. Calculate iron losses and full load copper losses.

8M

Cont…3

:: 3 ::

8. a) Explain the working a single phase transformer on load. 8M b) The diagram shows the equivalent circuit of a single phase transformer. Fig.7 given are

resistance and reactances in ohms in terms of the primary side. The ratio of secondary to primary turns is 10 and the load is inductive. Find: i. Secondary terminal voltage ii. The primary current

Fig.7

7M

Unit – V

9. a) Explain the types of three phase induction motor with a neat sketch. 7M b) Explain the various types of starting methods of three phase induction motor.

8M

10. a) Draw the slip torque characteristics of a three phase induction motor and explain. 6M b) A 3-phase, 50Hz, 400V, 25hp, 4-pole, induction motor has the following Impedances

referred to stator. R1=0.5Ω/phase, R2=0.35Ω, X1=X2=1.2Ω, Xm=25Ω. The combined rotational losses (mechanical and core losses) amount to 800W and are assumed to remain constant. For a rotor slip of 2.5% at rated voltage and rated frequency, Determine: i. The motor speed ii. The stator current iii. The p.f.

9M




MECHANICS OF SOLIDS




Unit – I

1. a) Explain stress-strain diagram for mild steel with salient features. 6M b) A bar of diameter 20mm and length 100mm extends by 0.2mm. If E of the material of

the rod is 2 x 105N/mm2, what load and type of load applied to the rod. If an extension of 20% greater is required for the same load applied above, how much the diameter of bar need to be reduced.

9M

2. a) Define the following terms: i. Poisson’s ratio ii. Modulus of rigidity iii. Bulk Modulus iv. Factor of safety

6M

b) Determine the changes in length, width and thickness of a steel bar which is 4m long, 30mm wide and 20mm thick and is subjected to an axial pull of 30kN in the direction of length. E=210Gpa and µ=0.3. Also determine the volumetric strain, change in volume and final volume of the given bar.

9M

Unit – II

3. a) Establish relationship between distributed load, shear force and bending moment. 7M b) Draw SFD and BMD for a simply supported beam carrying a uniformly varying load from

zero at one end to ‘W’ per unit length at the other end.

8M

4. a) Explain different types of beams with neat sketches. 7M b) A cantilever beam 2m long is loaded with a udl of 10kN/m run over a length of 1.5m

from the free end. It also carries a point load of 10kN at a distance of 0.5m from the free end. Draw the SFD and BMD for the beam.

8M

Unit – III

5. a) State the assumptions made in the theory of simple bending. 5M b) Compare the flexural strength of the following three beams of equal weigh:

i. I section 200mm x 300mm having 10mm flange thickness of 10mm web thickness ii. A rectangular section having depth equal to twice the width iii. Solid circular c/s

10M

6.

a) Prove that with usual notation M E

I Y R

.

7M

b) A T-shaped flange shown in Fig.1 is subjected to vertical shear force of 100kN. Calculate the shear stress at neutral axis, junction and flange. MI about horizontal neutral axis is 0.0001134m4.

Fig.1

8M

Cont…2

::2::

Unit – IV

7. a) State Maculay method and derive deflection equation by using this method. 8M b) A cantilever beam subjected to forces as shown in Fig.2. Determine the slope at

B and C. Take E=200kN/m2 I=40x106mm4:

Fig.2

7M

8. a) Derive deflection of cantilever beam with UDL. 5M b) Find slope and deflection of free and of the cantilever beam E=200kN/m2 I=40x106mm4,

as shown in Fig.3.

Fig.3

10M

Unit – V

9. a) Derive an expression for circumferential stress for thin cylinder. 6M b) A thick spherical shell of 160mm internal diameter is subjected to an internal pressure of

40N/mm2. Find the thickness of shell if the permissible tensile stress is 80N/mm2.

9M

10. a) Derive an expression for longitudinal stress for thin cylinder. 6M b) Find the thickness of metal necessary for a cylindrical shell of internal diameter 160mm

to withstand an internal fluid pressure of 8N/mm2. The maximum allowable or permissible or hoop’s stress in the section is not exceeding 35N/mm2.

9M




MECHANICS OF FLUIDS (Mechanical Engineering)



Unit – I

1. a) Define surface tension. Prove that the relationship between surface tension and pressure inside a droplet of liquid in excess of outside pressure is given by p=4ς/d.

6M

b) The space between two square flat parallel plates is filled with oil. Each side of the plate is 60cm. The thickness of the oil film is 12.5mm. The upper plate, which moves at 2.5m/s requires a force of 98.1N to maintain the speed. Determine: i. The dynamic viscosity of the oil in poise ii. The kinematic viscosity of the oil in stokes if the specific gravity of the oil is 0.95

9M

2. a) What is a manometer? How are they classified? 6M b) A differential manometer is connected between the two pipes A and B. Pipe A is 3cm

above the pipe B. The mercury level in the manometer limb connected to the pipe A is 5m below the centre of the pipe A and is at a higher level than that at in the limb connected to pipe B. The pipe A carries a liquid of specific gravity 1.5 and is maintained at a pressure of 10N/cm2, while the pipe B carries a liquid of specific gravity 0.9 and maintained at 18N/cm2. Find the difference in mercury level in the differential manometer.

9M

Unit – II

3. a) Distinguish between: i. Steady flow and unsteady flow ii. Uniform and non uniform flow iii. Compressible and incompressible flow iv. Rotational and irrotational flow v. Laminar and turbulent flow

10M

b) A 30cm diameter pipe, conveying water, branches into two pipes of diameters 20cm and 15cm respectively. If the average velocity in the 30cm diameter pipe is 2.5m/sec, find the discharge in this pipe. Also determine the velocity in 15cm pipe if the average velocity in 20cm diameter pipe is 2m/sec.

5M

4. a) Explain the following terms: i. Path line ii. Streak line iii. Stream line iv. Stream tube

8M

b) A 25cm diameter pipe carries oil of specific gravity 0.9 at a velocity of 3m/s. At another section the diameter is 20cm. Find the velocity at this section and also mass flow rate of oil.

7M

Unit – III

5. a) What is Euler’s equation of motion? How will you obtain Bernoulli’s equation from it? 6M b) A non-uniform part of a pipe line 5m long is laid at a slope of 2 in 5. Two pressure

gauges each fitted at upper and lower ends read 20N/cm2 and 12.5N/cm2. If the diameters at the upper and lower ends are 15cm and 10cm respectively, determine the quantity of water flowing per second.

9M

Cont…2

:: 2 ::

6. a) How will you determine the loss of head due to friction in pipes by using Darcy formula. 6M b) A venturimeter is used for measurement of discharge of water in a horizontal pipeline. If

the ratio of upstream pipe diameter to that of throat is 2:1, upstream diameter is 300mm, the difference of pressure between the throat and upstream is equal to 3m head of water and loss of head through meter is one eighth of the throat velocity head, calculate discharge in the pipe.

9M

Unit – IV

7. a) Define: laminar boundary layer, turbulent layer, laminar sub-layer and boundary layer thickness.

8M

b) For the velocity profile given as u/U=2(Y/δ)-(Y/δ)2, find the thickness of boundary layer at the end of the plate and the drag force on one side of a plate 1m long and 0.8m wide when placed in water flowing with a velocity of 150mm per second. Calculate the value of co-efficient of drag also. Take µ for water= 0.01 poise.

7M

8. a) What do you mean by separation of boundary layer? What is the effect of pressure gradient on boundary layer separation?

6M

b) The radial clearance between a hydraulic plunger and the cylindrical walls is 0.1mm: the length of the plunger is 300mm and diameter 100mm. Find the velocity of leakage and rate of leakage past the plunger at an instant when the difference of the pressure between the two ends of the plunger is 9m of water. Take µ= 0.0127poise.

9M

Unit – V

9. a) Obtain an expression for velocity of the sound wave in a compressible fluid in terms of change of pressure and change of density.

8M

b) An aeroplane is flying at a height of 15km where the temperature is -500C. The speed of the plane is corresponding to M=2. Assuming k=1.4 and R=287J/kgK, find the speed of the plane.

7M

10. a) Define the following terms: i. Sub-sonic flow ii. Supersonic flow iii. Sonic flow iv. Mach angle v. Mach cone

10M

b) Find the velocity of bullet fired in standard air if the Mach angle is 300. Take R=287J/kgK and k=1.4 for air. Assume temperature as 150C.

5M




THERMODYNAMICS




Unit – I

1. a) What is meant by thermodynamic equilibrium? Explain its importance. 6M b) A certain thermometer, using pressure as the thermodynamic property, gives value of P

as 1.86bar and 6.81bar at ice point and steam point where the temperature are assigned the numbers 00C and 1000C respectively. Determine the temperature corresponding to P=2.5bar if the relation between t=a ln p+b where a and b are constants.

9M

2. a) Derive an expression for displacement work in a nonflow process. 7M b) A fluid contained in a horizontal cylinder with a frictionless leak proof piston is

continuously agitated by means of a stirrer passing through the cylinder cover. The cylinder diameter is 0.4m. During the stirring process lasting 10 minutes, the piston slowly moves out a distance of 0.485m against the atmospheric pressure of 101kPa. The net work done by the fluid during the process is 2kJ. The speed of the electric motor driving the stirrer is 840rpm. Determine the torque in the shaft and the power output of the motor.

8M

Unit – II

3. a) Write a short note on Perpetual Motion Machine of first kind (PMM1). List the limitations of first law of thermodynamics.

6M

b) 0.1m3 of an ideal gas at 300K and 1bar is compressed adiabatically to 8bar. It is then cooled at constant volume and further expanded isothermally so as to reach the condition from where it started. Calculate: i. Pressure at the end of constant volume cooling ii. Change in internal energy during constant volume process iii. Net work done and heat transferred during the cycle Assume, cp=14.3kJ/kgK and cv=10.2kJ/kgK.

9M

4. a) Describe the classic paddle wheel experiment performed by Joule. What conclusion was drawn based on the experiment?

8M

b) The steam supply to an engine comprises two streams which mix before entering the engine. One stream is supplied at the rate of 0.01kg/s with an enthalpy of 2952kJ/kg and a velocity of 20m/s. The other stream is supplied at the rate of 0.1kg/s with an enthalpy of 2569kJ/kg and a velocity of 120m/s. At the exit from the engine the fluid leaves as two streams, one of water at the rate of 0.001kg/s with an enthalpy of 420kJ/kg and the other of steam; the fluid velocities at the exit are negligible. The engine develops a shaft power of 25kW. The heat transfer is negligible. Evaluate the enthalpy of the second exit stream.

7M

Unit – III

5. a) With the help of a P-V diagram explain Carnot cycle. 6M b) A reversible heat engine operating between two thermal reservoirs at 8000C and 300C

respectively. The engine drives a reversible refrigerator operating between -150C and 300C. The heat input to the heat engine is 1900kJ and the net work output from the combined plant is 290kJ. Calculate the heat absorbed by the refrigerant and the total heat transferred to 300C reservoir.

9M

Cont…2

:: 2 ::

6. a) What is meant by availability? Obtain expressions for availabilities of a closed system and

a steady flow open system. 8M

b) 5kg of iron ingot at 8000C is dropped into an oil bath at 600C containing 20kg of oil. The specific heats of iron and oil are 0.418 and 2.09kj/kgK respectively. If the atmospheric temperature is 270C, determine the loss in availability after the materials reach a common temperature.

7M

Unit – IV

7. a) With a neat sketch explain the working of a throttling calorimeter. 6M b) Steam at 1MPa and 2500C enters a nozzle with a velocity of 60m/s and leaves the nozzle

at 10kPa. Assuming the flow process to be isentropic and the mass flow rate to be 1kg/s, determine the exit velocity and exit diameter of the nozzle.

9M

8. a) Draw a neat p-T diagram applicable to a pure substance clearly indicating the various phases and salient points.

6M

b) A pressure cooker contains 1.5kg of saturated steam at 5bar. Find the quantity of heat which must be rejected so as to reduce the quality to 60% dry. Determine the pressure and temperature of the steam at the new state.

9M

Unit – V

9. a) An engine working on the Otto cycle is supplied with air at 0.1MPa, 350C. The compression ratio is 8. Heat supplied is 2100kJ/kg. Calculate the maximum pressure and temperature of the cycle, the cycle efficiency and the mean effective pressure.

9M

b) Show that for an Otto cycle, the efficiency is given by;

1

11otto

kr

where, rkis the compression ratio.

6M

10. a) With a simple block diagram and corresponding h-s plot, explain working of a Rankine cycle.

6M

b) In an air standard Diesel cycle, the compression ratio is 16 and at the beginning of isentropic compression, the temperature is 150C and the pressure is 0.1MPa. Heat is added until the temperature at the end of constant pressure process is 14800C. Calculate: i. The cut-off ratio ii. The heat supplied iii. The cycle efficiency

9M




METALLURGY AND MATERIAL SCIENCE (Mechanical Engineering)



Unit – I

1. a) Define a unit cell. Calculate the atomic radius and packing factor for BCC crystal structure. 8M b) Explain the effect of grain boundaries on the properties of material.

7M

2. a) What do you mean by crystal imperfections? Explain briefly point imperfection and surface imperfection.

9M

b) What is a solid solution? Explain Hume-Rothery’s rule.

6M

Unit – II

3. a) Explain the lever rule with example. 7M b) Construct a phase diagram using the following data and label all the fields:

Melting point of Ag=9610C Eutectic temperature=7800C Solubility of Cu in Ag=9% at 7800C Solubility of Ag in Cu=9% at 7800C Melting point of Cu=10800C Eutectic composition=28% Cu balance Ag Solubility Cu in Ag=2% at 00C Solubility Ag in Cu=4% at 00C Determine the following: i. Solidification start and end of temperature for 30% Ag alloy ii. Temperature at which a 15% Cu alloy has 50% liquid phase and 50% solid phase iii. Percentage composition of liquid and solid phase in 20% Ag alloy at 9000C

8M

4. a) With help of equilibrium diagram, explain the cooling of steel containing 0.83% C. 7M b) With a neat figure explain two component or Binary phase diagram, completely soluble in

both liquid and solid state.

8M

Unit – III

5. a) Give the composition, microstructure and applications of: i. Malleable cast iron ii. Mild steel

8M

b) Differentiate between normalizing and annealing with neat sketches.

7M

6. a) What is hardenability? Explain with neat sketch Jominy-end quench test. 7M b) Draw the TTT diagram for plain carbon eutectoid steel and explain the critical cooling

rate. 8M

Unit – IV

7. a) Write a short note on: i. Cupro Nickel ii. Bronze

7M

b) Write briefly about Titanium and its alloys.

8M

8. a) Write brief note on alpha plus beta brasses with microstructure. 7M b) What is maraging steel? Explain briefly. 8M

Cont…2

:: 2 ::

Unit – V

9. a) What is a composite material? Explain briefly the role of each ingredient in a composite material.

7M

b) Explain the properties and applications of glass ceramics.

8M

10. a) Explain about ceramic refractory materials. 8M b) What is FRP? Explain in details. 7M




SURVEYING-I (Civil Engineering)



Unit – I

1. a) Discuss in brief the principles of Surveying. 8M b) A steel tape was exactly 30m long at 200C when supported throughout its length under a

pull of 10kgs. A line was measured with this tape under a pull of 15kgs and at a mean temperature of 32oC and found to be 780m long. The area of cross-section of the tape was 0.03sq.cms and its total weight is 0.693kgs. α=11x10-6 per oC and E=2.1x106kg/cm2. Compute the true length of the line if the tape is supported at: i. At Every 30m ii. At Every 15m

7M

2. a) Describe the principle and working of an optical square with a neat sketch. 8M b) A survey line BAC crosses a river, A and C being on the near and distant banks

respectively. Standing at D, a point 50m measured perpendicularly to AB from A, the bearings of C and B are 3200 and 2300 respectively, AB being 25m. Find the width of the river.

7M

Unit – II

3. a) Differentiate between: i. Magnetic meridian and True meridian ii. Dip and Declination iii. Whole circle bearing and Quadrantal bearing iv. Fore bearing and Back bearing

8M

b) The following interior angles were measured with a sextant in a closed traverse. The bearing of the line AB was measured as 600 00' with prismatic compass. Calculate the bearings of all the other line if A=1400 10'; B=900 8'; C=600 22' and D=29020'.

7M

4. a) Differentiate between prismatic and surveyors compass. 8M b) In a closed traverse, the following bearings were observed, with a compass. Calculate

their interiors angles and then compute the corrected magnetic bearings.

Line FB BB

AB 460 30’ 2260 30’

BC 1180 30’ 3000 15’

CD 2100 00’ 280 00’

DE 2710 15’ 930150

EA 3130 45’ 1320 00’

7M

Unit – III

5. a) Describe briefly the uses of various accessories of plane tabling. 7M b) What is resection? What are the different methods of resection? Explain any one

method.

8M

6. a) With a neat sketch, explain Bessel's graphical method to solve three point problem. 8M b) What is orientation of plane table? Explain the different methods of orientation of a

plane table. 7M

Cont…2

:: 2 ::

Unit – IV

7. a) Describe the Height of Instrument and rise and fall methods of computing the levels. 7M b) The following staff readings were observed successively with a level, the instrument

having moved after third, sixth and eighth readings: 2.228; 1.606; 0.988; 2.090; 2.864; 1.262; 0.602; 1.982; 1.044; 2.684metres. Enter the above readings in a level book page and calculate the RL of points if the first reading was taken with the staff held on a bench mark of 432.384m.

8M

8. a) What is sensitiveness of a bubble tube? How do you determine the sensitiveness of a bubble tube in field?

8M

b) Two points P and Q are 1010m apart. The RL of P is 126.386. The following reciprocal levels are taken with one level:

Level at Readings on

P Q

P 1.824 2.748

Q 0.928 1.606

Find the true difference in level between P and Q and combined correction for curvature and refraction.

7M

Unit – V

9. a) Briefly explain the characteristics of contours with neat sketches. 7M b) A 60m x 60m plot is to be excavated to a formation level of 80.0m. The present levels at

20m x 20m grid are as show in Fig.1. Calculate the volume of earth work.

Fig.1

8M

10. a) Derive an expression for the Prismoidal formula for volume measurement. 7M b) A railway embankment is 10m wide with side slopes 1½ to 1. Assuming the ground to be

level in a direction transverse to the centre line, calculate the volume contained in a length of 120m, the centre heights at 20m intervals being in metres 2.2, 3.7, 3.8, 4.0, 3.8, 2.8, 2.5.

8M


(AUTONOMOUS) B. Tech III Semester Regular Examinations, November - 2017


BUILDING MATERIALS AND CONSTRUCTION (Civil Engineering)



Unit – I

1. a) Define a quarry and mention the factors to be considered while making a selection for stone quarry.

7M

b) Explain the manufacturing procedure of tiles.

8M

2. a) List and explain the precautions to be taken in the process of blasting. 7M b) What are the constituents of good brick earth? Explain.

8M

Unit – II

3. a) What is seasoning of timber? Write the objectives of seasoning. 8M b) Write a short note on the following:

i. Fiber-reinforced plastics ii. Plasticizers

7M

4. a) Define cement concrete and mention its properties. 7M b) What is meant by workability of concrete? How is it tested in field and in laboratory?

8M

Unit – III

5. a) With the help of neat sketches explain different types of shallow foundation. 8M b) Explain Flemish bond in brick masonry with neat sketch.

7M

6. a) Classify various types of stone masonry. Explain any one with neat sketch. 8M b) Explain English bond in brick masonry with neat sketch.

7M

Unit – IV

7. a) List different types of doors based on: i. Nature of working operation ii. Arrangement of different components of door iii. Method of construction

8M

b) State briefly the essential requirements of a good roof.

7M

8. a) Explain the following with neat sketch: i. Queen post truss ii. King post truss

8M

b) Enumerate with the help of sketches, various types of arches based on its shape.

7M

Unit – V

9. a) Define Underpinning. What is its purpose? Explain any one method of Underpinning. 8M b) Write characteristics of an ideal paint.

7M

10. a) What is purpose of plastering? Indicate the requirements of good plaster. Write a note about the materials used in plastering.

8M

b) What is the need for formwork? Mention its desirable qualities. 7M




FLUID MECHANICS (Civil Engineering)



Unit – I

1. a) Explain the following terms related to fluid: i. Specific weight ii. Viscosity iii. Vapour pressure iv. Capillarity v. Surface tension

10M

b) Find the surface tension in a soap bubble of 40 mm diameter when the inside pressure is 2.5 N/m2 above atmospheric pressure.

5M

2. a) Derive an expression for the depth of centre of pressure from free surface of liquid of an inclined plane surface sub-merged in the liquid.

9M

b) Determine the total pressure and centre of pressure on an isosceles triangular plate of base 4 m and altitude 4 m when it is immersed vertically in an oil of specific gravity 0.9. The base of the plate coincides with the free surface of oil.

6M

Unit – II 3. a) Obtain the equation of continuity for a three dimensional flow. 8M b) Distinguish between:

i. Path line and stream line ii. Rotational flow and irrotational flow

7M

4. a) A 200mm diameter pipe conveying water branches into two pipes of diameters 150mm and 100mmrespectively. If the average velocities in the 200mm diameter pipe and the 150mm diameter pipe are respectively 3m/sec and 1.8m/sec, determine the velocity in the 100mmpipe.

8M

b) If a potential function is given by Ø=3(x2+y2), calculate the velocity components at the point (2, 3).

7M

Unit – III

5. a) Explain the principle of venturimeter with a neat sketch. Derive the expression for the rate of flow of fluid through it.

10M

b) An orifice meter with orifice diameter 10cm is inserted in a pipe of 20 cm diameter. The pressure gauges fitted upstream and downstream of the orifice meter give readings of 19.62 N/cm2 and 9.81 N/cm2. Find the discharge of water through pipe. Take Cd = 0.6.

5M

6. a) Derive an expression for discharge through an orifice meter. 9M b) A horizontal venturimeter with inlet and throat diameters 30cm and 15cm respectively is

used to measure the flow of water. The reading of differential manometer connected to the inlet and throat is 20cm of mercury. Determine the rate of flow. Take coefficient of discharge = 0.98.

6M

Cont…2

::2::

Unit – IV

7. a) Write short notes on displacement thickness, momentum thickness and energy thickness. 8M b) Explain the concept of boundary layer. Mention the various laws assumed for velocity

distribution in laminar boundary layer.

7M

8. a) Explain the magnus effect. 7M b) A flat plate 1.5mx1.5m moves at 50km/hr in stationary air of density1.15kg/m3. If the

coefficients of drag and lift are 0.15 and 0.75 respectively, determine: i. The lift force ii. The drag force iii. The resultant force iv. The power required to keep the plate in motion

8M

Unit – V

9. a) Derive an expression for the pipes in series and pipes in parallel. How the pipe coefficient f is dependent on Reynold’s number.

7M

b) Two pipes of diameter 50mm and 100mm each 100m long are connected in parallel between two reservoirs, which have a difference of water level of 10m. If the coefficient of friction of each pipe is 0.008, determine the rate of flow for each pipe. Find also the diameter of a single pipe 100m long to convey the same total discharge in place of two pipes laid in parallel. Ignore minor losses.

8M

10. a) Explain the procedure of Reynold’s experiment conducted with a neat diagram. 7M b) A compound pipe consists of three pipes connected in series as follows:

i. 500mmdiameter, 1900m long ii. 450mm diameter, 1500m long iii. 300mm diameter, 600m long Find the diameter, discharge of the equivalent pipe 4000m long. Find the length of the equivalent pipe 450mm in diameter.

8M




STRENGTH OF MATERIALS-I (Civil Engineering)



Unit – I

1. a) Define the following: i. Volumetric strain ii. Bulk modulus iii. Poisson’s ratio iv. Factor of safety

5M

b) A mild steel test piece was tested in tension and the following readings were obtained. Diameter of Specimen=20mm. Length of Specimen=200mm. Extension under 30kN load=0.21mm, Yield point load =40kN, Ultimate tensile load =50kN and Length of specimen after fracture=250mm, calculate the values of: i. Young’s modulus ii. Yield point stress iii. Ultimate strength iv. Percentage elongation v. Percentage reduction in area, if the diameter of specimen at the failure is 17.5mm

10M

2. a) Derive an expression for volumetric strain due to three mutually perpendicular stresses. 7M b) Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of diameter

25mm and length 1.6m, if the longitudinal strain in the bar during tensile test is four times the lateral strain. Also find the change in volume, when the bar subjected to a hydrostatic pressure of 100N/mm2. E=1x105 N/mm2.

8M

Unit – II

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

5M

b) A cantilever beam of length 2m carries the point loads as shown in Fig.1. Draw the shear force diagram and bending moment diagram for the cantilever beam.

Fig.1

10M

4. a) What are the sign conventions for shear force and bending moment in general? 5M b) Draw the shear force and bending moment diagrams for the overhanging beam carrying

an udl of 2kN/m over the entire length as shown in Fig.2. Also locate the point of contra flexure.

Fig.2

10M

Cont…2

:: 2 ::

Unit – III

5. a) Mention the assumptions made in the theory of simple bending. 5M b) A timber beam of rectangular section is to support a load of 20kN uniformly distributed

over a span of 3.6m when the beam is simply supported. If the depth of section is to be twice the breadth and stress in the timber is not to exceed 7N/mm2, find the dimensions of cross sections.

10M

6. a) Prove that the shear stress distribution in a rectangular section of a beam which is

subjected to a shear force F is given by 𝜏 =𝐹

2𝐼 𝑑2

4− 𝑦2 .

6M

b) A simply supported wooden beam of span 1.3m having a cross section of 150mm wide by 250mm deep carries a point load W at the centre. The permissible stresses are 7N/mm2 in bending and 1N/mm2 in shearing. Calculate the safe load W.

9M

Unit – IV

7. a) Prove that the relation M=EId2y/dx2 where M is bending moment and E is young’s modulus and I is moment of inertia.

6M

b) A beam of length 8m is simply supported at its ends. It carries an udl of 40kN/m as shown in Fig.3. Determine the deflection of beams at its midpoint an also the position of maximum deflection if E=2x105N/mm2 and I=4.3x108mm4. Use Macaulay’s method.

Fig.3

9M

8. A simply supported beam of length 5m carries a point load of 5kN at a distance of 3m from left end. If E=2x105N/mm2 and I=108mm4.Determine the slope at the left support and deflection under the point load using conjugate beam method.

15M

Unit – V

9. a) The tensile stresses at a point across two mutually perpendicular planes are 120N/mm2

and 60N/mm2. Determine the normal, tangential and resultant stresses on a plane inclined at 300 to the axis of the minor stress.

8M

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

7M

10. a) What do you understand by the term “theory of failures”? Name the important theories of failure.

8M

b) The principal stresses at a point in an elastic material are 200N/mm2 (tensile) and 100N/mm2 (tensile) and 50N/mm2 (compressive). If the stress at the elastic limit in the simple tension is 200N/mm2, determine whether the failure of the material will occur according to maximum principal strain theory. Take μ=0.3.

7M




ENVIRONMENTAL SCIENCE

(Common to Electronics and Communication Engineering & Civil Engineering)



Unit – I

1. a) Elaborate on desertification, its causes, effects and prevention. 8M b) Discuss about renewable and non-renewable resources.

7M

2. a) Write concise notes on: i. Pesticide Problems ii. Salinity

8M

b) Explain over exploitation of minerals and environmental effects.

7M

Unit – II

3. a) Classify ecosystem and explain its role and impact on environment. List any two characteristics of ecosystem.

8M

b) Identify any four Ecosystems. Explain them briefly.

7M

4. a) Examine and substantiate the fact that INDIA is a mega biodiversity nation. 8M b) Investigate the applications of biodiversity and its advantages.

7M

Unit – III

5. a) Write short notes on: i. Soil Pollution ii. Nuclear Hazards

8M

b) Write comprehensive notes on control of industrial wastes.

7M

6. a) How do we know global warming and climate change are real, justify. 8M b) What is noise pollution? What are its sources and health effects?

7M

Unit – IV

7. a) Recognize the social benefits in reference to green building. 8M b) Classify carbon foot printing. Why are individual carbon footprints so alarmingly high?

7M

8. a) What is carbon credit system? 8M b) Define green computing. What are the goals of green computing?

7M

Unit – V

9. a) Explain the Aims and objectives of Environmental NGOs. 8M b) Highlight on the policy of environmental impact assessment? Explain briefly.

7M

10. a) Identify the contributions made by the NGOs to the field of environment. 8M b) “Discuss the Magnitude of impact, extent of Impact, duration of Impact in reference to

environmental impact assessment. 7M




MANAGERIAL ECONOMICS AND FINANCIAL ANALYSIS

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



Unit – I

1. a) Explain any four applications of Managerial economics in business decision making. 8M b) Explain different types of demand.

7M

2. a) Briefly explain measures of elasticity of demand. 8M b) “Various factors determine the level of demand for Small cars in Indian Market.” Explain.

7M

Unit – II

3. a) Explain different types of cost classifications. 7M b) What are Isoquant and Isocost curves? Explain the characteristics of Isoquant.

8M

4. a) Explain briefly economies and diseconomies of scale. 8M b) Confrigity.co manufacture electronic components, the fixed cost incurred is Rs.2,00,000,

direct material cost per unit Rs.70, direct labor cost Rs.30 per unit. The selling price per unit is Rs.300. The company produced and sold 2000 units is a year. Calculate the company’s Breakeven point and margin of safety.

7M

Unit – III

5. a) Explain the features of monopolistic competition. 8M b) Explain the features of oligopoly market.

7M

6. a) Explain the following: i. Two- Part pricing ii. Block pricing iii. Going rate pricing iv. Peak load pricing

8M

b) Explain price output determination under monopoly.

7M

Unit – IV

7. ABC company is planning to purchase a new machine whose cash flows are given below

Year Cash flow

Mach-A Mach-B

0 (4,00,000) (4,00,000)

1 80,000 70,000

2 1,20,000 1,40,000

3 1,30,000 1,50,000

4 80,000 65,000

5 1,60,000 1,75,000

Calculate NPV and PI at a discount rate of 10% to select the right machine.

15M

8. a) Briefly explain the factors determining working capital requirement. 7M b) Explain the different methods and sources of raising finance.

8M

Cont…2

:: 2 ::

Unit – V

9. From the following Trial balance of Ravi enterprises, prepare the final accounts for the year ended 31st March, 2010 and the balance sheet as on that date:

Particulars Debit (Rs) Credit (Rs)

Land and building 50,000

Purchases 1,10,000

Stock 40,000

Returns 1,500 2,500

Wages 10,000

Salaries 9,000

Office expenses 2,400

Carriage inwards 1,200

Carriage outwards 2,000

Discounts 750 1,200

Bad debts 1,200

Sales 2,05,000

Capital 1,30,000

Insurance 1,500

Commission 1,500

Plant and machinery 50,000

Furniture and fixtures 22,000

Bills receivable 20,000

Sundry debtors 40,000

Sundry creditors 25,000

Cash in hand 1,500

Cash at bank 4,500

Bills payable 2,350

Total 3,67,550 3,67,550

Adjustments: i. Closing stock amounted to Rs.60, 000 ii. Outstanding wages Rs.2,000 iii. Depreciation: Land and buildings at 5%, Plant and machinery at 10% and Furniture and

Fixtures at 10% iv. Provide further bad debts reserve at 5% on Sundry debtors v. Insurance prepaid Rs.200

15M

10. a) Define Ratio Analysis. Explain the importance of Ratio Analysis. 7M b) The following is the balance sheet of M/S ABC enterprises.

Liabilities Amount Assets Amount

Capital 5,00,000 Land and Buildings 4,00,000

Bank Loan 2,00,000 Plant & Machinery 3,00,000

Creditors 1,00,000 Furniture 1,00,000

Bill Payable 50,000 Stock 50,000

Outstanding expenses

50,000 Debtors 25,000

Cash 25,000

9,00,000 9,00,000

Sales for the year: Cash sales Rs.4,00,000 Credit sales Rs.2,00,000. Calculate: i. Current ratio ii. Liquid ratio iii. Debt equity ratio iv. Total assets to total liabilities ratio

8M

Documents

DISCRETE MATHEMATICAL STRUCTURES · 2018-12-10 · 2. a) Convert the following pairs of decimal numbers to 5-bit 2 [s-complement numbers, then perform addition and subtraction on