subject code: r13205/r13 set no - 1 i b. tech ii semester ... b. tech ii semester regular/supply...

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Subject Code: R13205/R13 I B. Tech II Semester Regular/Supply Examinations July/Aug. - 2015

COMPUTER PROGRAMMING (Common to ECE, EEE, EIE, Bio-Tech, E Com. E, Agri. E)

Time: 3 hours Max. Marks: 70 Question Paper Consists of Part-A and Part-B

Answering the question in Part-A is Compulsory,

Three Questions should be answered from Part-B

*****

PART-A

1.(a) Which of the following expressions are valid? Give reasons.

(i) +a +b (ii) a++ - - b (iii) a % 10 / - b (iv) a++ + ++b

(b) What are the values of control variables and number of the iterations in the following for

loops?

(i) for( x=1.0 ; x>=0.5; x - = 0.1) (ii) for( ch= ‘A’ ; ch != ‘F’ ; ++ch)

(c) Define function for determining the median of three given numbers.

(d) Write a swap function along with a loop to reverse a vector.

(e) Is it possible to declare two structures with the same name? Justify your answer.

(f) State the functions for direct file I/O.

[4+4+4+3+4+3]

PART- B

2.(a) Give the flowchart to count positive and negative numbers in a given list terminated with

zero.

(b) Write a program to calculate the area and circumference of a circle with radius 10.

[8+8]

3.(a) Write a for loop to calculate the sum of squares of differences of consecutive numbers

entered from the keyboard, e.g., for numbers 1, 4, 5 and 3, the program should calculate

(4 – 1)2 + (5 – 4)

2 + (3 – 5)

2

(b) Describe the basic operations on arrays. Explain how they can be implemented using

loops.

[8+8]

4.(a) Describe the concept of functions and the mechanism of a function call. Discuss the

advantages of functions.

(b) How is const parameter used? Explain.

[10+6]

5. What functions are provided in stdlib.h header file for providing dynamic memory

management? Explain each function with an example.

[16]

6. How do you define a structure, structure variables, access their elements and perform

operations on them? Explain with examples.

[16]

7.(a) What is meant by formatted I/O?

(b) Write a program to generate prime numbers in a given range and append them to

primes.dat file and display the file.

[6+10]

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of 1

Set No - 1

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*****

PART-A

1.(a) Evaluate the expressions given below if a=10, b=20:

(i) ++a+b-- /2.5 (ii) a/b + (a /(2 * b)) (iii) a % 6 / b%3

(b) Write the equivalent while loop for the following for loop:

for( ch = ‘a’; ch<= ‘z’; ++ch)

putchar(ch);

(c) Define a recursive function to determine the sum of non-negative integer number n.

(d) Write the code for accepting an array of integers and return a pointer to its largest element.

(e) What is the basic difference between an array and a structure?

(f) What functions are used for character I/O?

[4+4+4+4+3+3]

PART- B

2.(a) Write a program to determine the real roots of a quadratic equation ax

2+bx+c=0

(b) What is a conditional expression operator? Use conditional expression operator to

determine the number of days in February.

[8+8]

3.(a) Explain how arrays are used as function parameters with examples.

(b) Compare switch and if-else-if statements.

[8+8]

4.(a) What is register storage class and static storage class? Explain with examples.

(b) Write a recursive function to obtain the solution for the Tower of Hanoi problem.

[8+8]

5.(a) What are the limitations of arrays? Explain how dynamic arrays overcome these

limitations.

(b) How are increment and decrement operations implemented with pointers?

[8+8]

6. How do you declare, initialize and access a structure containing arrays? Explain with

examples.

[16]

7.(a) Write the syntax of functions fclose, fprintf. and explain their purposes.

(b) What functions are used for file positioning? State the SEEK_ Constants used in fseek

function and explain the meaning.

[8+8]

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Page 1 of 1

Set No - 2

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*****

PART-A

1.(a) What is a preprocessor directive?

(b) Write assignment statement for the following:

Assign a value of 1 to divisor if digit is a divisor if digit is a divisor of num; otherwise,

assign a value of 0.

(c) What is a extern storage class? Explain.

(d) What is an address operator and dereference operator?

(e) What is the similarity between structure, union and enumeration?

(f) Describe fgetc function and getc macro.

[3+4+3+4+4+4]

PART-B

2.(a) Illustrate how you read data values into a program and to display results with examples.

(b) What is a format string? How do you write format strings for data entry and display?

[8+8]

3.(a) Write a program that asks user an arithmetic operator('+', '-', '*' or '/') and two operands

and perform the corresponding calculation on the operands. Use a switch statement.

(b) Write a C program to check whether a number entered by user is even or odd. Use a if else

statement.

[8+8]

4.(a) Give a recursive function for computing the nth

Fibonacci function.

(b) Explain what would happen if the terminating condition for function Fibonacci were just

(n==1).

[8+8]

5.(a) What is a pointer? What are the advantages of pointers?

(b) Write a program to read an array from the keyboard, access elements of an array and copy

array into another array using pointers.

[6+10]

6.(a) What are the two types of operators used for accessing members of a structure? Explain

with examples.

(b) How are structures nested in structures? Write a nested structure to represent a rectangle.

[8+8]

7.(a) What is a stream? Why is it necessary to use buffering in streams?

(b) Write a C program to write all the members of an array of structures to a file using

fwrite(). Read the array from the file and display on the screen.

[8+8]

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Page 1 of 1

Set No - 3

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*****

PART-A

1.(a) What data types would you use to represent the following items: number of children at

school, a letter grade on an exam, the average number of school days a child absent each

year?

(b) Evaluate the expression: 1 && (30 % 10>= 0) && (30 % 10<=3)

(c) Which is generally more efficient, recursion or iteration?

(d) Explain the functionality of realloc function.

(e) What is a self referential structure?

(f) Define fputc function and putc macro.

[4+4+3+4+3+4]

PART-B

2.(a) Explain with examples how C evaluates arithmetic expressions and how are they written

in C?

(b) Name three high level languages and describe their original usage.

[8+8]

3.(a) Write a C program to find average of maximum of n positive numbers entered by user.

But, if the input is negative, display the average(excluding the average of negative input)

and end the program.

(b) How does for loop work in C? Illustrate with examples.

[10+6]

4.(a) Write a recursive C function that counts the number of vowels in a string.

(b) How are 2D arrays passed to functions? Explain.

[8+8]

5.(a) What is call by reference? Write a program to swap numbers in cyclic order using call by

reference.

(b) How is a dynamic two dimensional arrays implemented using a pointer to pointer?

[8+8]

6.(a) Describe the two ways of accessing a structure member through a pointer. Give an

example.

(b) Give an example to use structure's member through pointer using malloc() function.

[8+8]

7.(a) What is a binary file? Explain why a binary file containing numeric data will require less

space compared to a text file containing same data.

(b) Write a C program to read name and marks of n number of students from user and store

them in a file. If the file previously exits, add the information of n students.

[8+8]

*****

Page 1 of 1

Set No - 4

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Subject Code: R13212/R13 I B. Tech II Semester Regular/Supplementary Examinations July/Aug. - 2015

ELECTRICAL CIRCUITS ANALYSIS-I (Electrical and Electronics Engineering)


Answering the question in Part-A is Compulsory, Three Questions should be answered from Part-B

*****

PART-A

1.(a) Give the volt-ampere relations of R, L, and C parameters. (b) Define average value and r.m.s value. (c) Define resonance and write its properties of R-L-C series resonant circuit. (d) Write the analogy between electrical and magnetic circuits. (e) Define tree, graph and co-tree. (f) Write the statements of Thevenin’s theorem and Nortan’s theorem.

[3+4+4+4+3+4]

PART-B 2.(a) For the circuit shown in figure 2(a), use nodal analysis to determine voltage across 3Ω and

12 Ω resistance. Compute power absorbed by 6 Ω resistor.

(b) What is the magnitude of current drained from the 10V source in the circuit shown in figure 2(b) below?

[9+7]

3.(a) A current of 4 A flows through a non-inductive resistance in series, with a choking coil when supplied at 230 V, 50 Hz. If the voltage across the resistance is 100 V and across the coil is 180 V, draw the phasor diagram and calculate (i) impedance, reactance and resistance of the coil (ii) the power absorbed by the coil (iii) the total power.

Page 1 of 3

3Ω

10V

5Ω

2Ω 1Ω

2Ω 3Ω

Figure 2(b)

Set No - 1

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Subject Code: R13212/R13

3.(b) A two element series circuit is connected across AC source V )t sin(te0202200)( +ω= .

The current in the circuit then found to be A. )tcos( ti025210)( −ω= Determine the

parameters of the circuit. [9+7]

4.(a) Derive the expression for bandwidth of series RLC circuit. (b) Using the locus diagrams, determine the value of RL for which the circuit shown in fig. 4

will be under resonance.

[8+8]

5.(a) What are the Faraday’s laws of electromagnetic Induction? Explain. (b) For the network shown in below figure 5, find the voltage across load resistance RL.

[7+9]

6.(a) For the given network shown in Figure 6(a), draw the oriented graph and choose one possible tree and construct basic cutest schedule. Write down the network equations from above matrix.

Page 2 of 3

10 Ω

-j 5Ω

j 10 Ω

~ RL

100 V

Fig. 4

RL=5Ω 50 V

k=0.5

~

j2Ω j5Ω

-j3Ω

Figure 5

Set No - 1

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Subject Code: R13212/R13 6.(b) Draw the dual of the network shown in below figure 6(b) and explain its procedure.

[9+7]

7. Find the current through the capacitor of –j5Ω reactance as shown in figure 7 using superposition theorem.

[16]

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Page 3 of 3

S V

I

C2

L G1

+

-

G2

C1

Figure 6(b)

2Ω 00100 ∠V

j4 Ω

-j5Ω 3Ω

~ 5Ω A I03010∠=

Figure 7

Set No - 1

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*****

PART-A

1.(a) Give the difference between dependent and independent sources. (b) Give the expressions for average value, r.m.s value and form factor of a sinusoidal

waveform. (c) Draw the current locus diagrams of R-C series circuit with R variable as well as C variable. (d) State Faraday’s law of electromagnetic induction. (e) Define cut-set matrix and write its properties. (f) Write the statements of maximum power transfer theorem and reciprocity theorem. [3+4+4+3+4+4]

PART-B

2.(a) Explain the source transformation techniques with suitable circuits. (b) Calculate the mesh currents in the network shown in Figure 2(b).

[7+9]

3.(a) A series combination of R and C is in parallel with a 25 Ω resistor. A 50 Hz source results in a total current of 6.5 A, a current of 5 A through 25 Ω resistance and a current of 2.3 A in the RC branch. (i) Draw the phasor diagram of the circuit and find values of R and C (ii) Find apparent, active, reactive power and power factor of the circuit.

(b) Determine R.M.S and Average value of the waveform shown in Figure 3.

[8+8]

Page 1 of 3

u(t)

10V

1 ms 2 ms 3 ms 4 ms Time Figure 3

Set No - 2

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Subject Code: R13212/R13 4.(a) In a series RLC network, R = 50 Ω and C = 20 µF, and L = 50 mH. Find the voltage across

each element, when the voltage across the resistor is a maximum, given that the applied voltage is 100 V with a variable frequency.

(b) Obtain the current locus for the circuit of Figure 4, and find the value of RC which results in a phase angle of 45˚ between V and I.

[8+8]

5.(a) Compare electric and magnetic circuits with respect to similarities and dissimilarities. (b) For the circuit shown in figure 5, determine the currents i1 and i2 using loop method of

analysis.

[7+9] 6.(a) For the given network shown in Figure 6, draw the graph and chose a possible tree.

Construct the basic tie set schedule. Write the equation for the branch currents and interns of the link current and write separately the independent equations.

(b) Define: (i) Graph (ii) Path (iii) Connected graph.

[12+4]

Page 2 of 3

10Ω

-j 4Ω

RC

Figure 4

j 2Ω

V2=10 00 V i2 i1

j4 j3 V1=10 00V

-j8Ω 2Ω

Figure 5

3

5

4

1

6 2

2

3 4

Figure 6 1

Set No - 2

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Subject Code: R13212/R13 7.(a) Find voltage across 10Ω resistance in the network shown in Figure 7a, using the

Thevenin’s theorem.

(b) Find the current through 2Ω resistor in Figure 7b, using Millman’s theorem.

[9+7]

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Page 3 of 3

Set No - 2

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*****

PART-A

1.(a) What is the use source transformation. Convert the voltage source to current source and vice-versa with an example.

(b) Define form factor and power factor. (c) Define bandwidth and quality factor and write the relationship between them. (d) Define flux, MMF and reluctance. (e) What is duality? Write the rules to draw the dual of a network. (f) Write the statements of Millman’s theorem and superposition theorem.

[3+4+4+4+3+4]

PART-B

2.(a) State and explain Kirchhoff’s laws with an example. (b) Determine current ‘i’ in the network shown in figure 2(b) using nodal analysis.

[7+9]

3.(a) A Resistor of 100Ω in series with a capacitance of 50µF is connected to a supply of 200V, 50Hz. Find: (i) impedance (ii) current (iii) phase angle (iv) voltage across the resistor & capacitor.

(b) In a series RL circuit R= 5 ohms and L= 0.06H and the voltage across Resistor is VR=15 sin200t. Find the current and total voltage across the circuit.

[8+8] 4.(a) A series R-L-C circuit consists of resistance R = 20Ω, inductance, L=0.01H and

capacitance, C = 0.04 µF. Calculate the frequency at resonance. If a 10 Volts of frequency equal to the frequency of resonance is applied to this circuit, calculate the values of VC and VL across C and L respectively. Find the frequencies at which these voltages VC and VL are maximum?

Page 1 of 3

5A

6Ω

i

4Ω

3i

10Ω 3A

Figure 2(b)

Set No - 3

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Subject Code: R13212/R13 4.(b) Find the resonant frequency for the circuit shown in Figure 4.

[8+8]

5.(a) Two coupled coils with L1 = 0.01 H and L2 = 0.04 H and k = 0.6 can be connected in four different ways such as series aiding, series opposing, parallel aiding and parallel opposing. Find equivalent inductance in each case.

(b) Explain the dot convention for mutually coupled coils. (c) Derive the expression for coefficient of coupling between pair of magnetically coupled

coils. [6+4+6]

6.(a) Determine the basic cutest matrix for the oriented graph given in Figure 6(a) where the elements 1, 2, 3 are free branches.

(b) For the Network shown in Fig. 6(b), formulate its dual network.

[8+8]

Page 2 of 3

V~ 2 Ω

5 Ω

10mH 40µF

Figure 4

Set No - 3

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Subject Code: R13212/R13 7.(a) Find VL in the circuit shown in figure 7, using superposition theorem.

(b) State and explain compensation theorem.

[9+7]

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Page 3 of 3

5 A 2V

+

-

RL VL

1Ω

1Ω +

-

2Ω

5 A

Figure 7

Set No - 3

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*****

PART-A

1.(a) State Kirchhoff’s laws. (b) Define phase and phase difference. What is the difference between these two? (c) Draw the current locus diagrams of R-L series circuit with R variable as well as L variable. (d) Define self-inductance, mutual inductance and co-efficient of coupling and write the relation between them. (e) Define connected graph, oriented graph, and planar graph. (f) Write the statements of superposition theorem and compensation theorem.

[3+4+4+4+3+4]

PART-B 2.(a) What are the types of sources? Explain them with suitable diagrams and characteristics?

(b) Calculate the voltage that is to be connected across terminals x-y is shown in below figure 2(b) such that the voltage across the 2Ω resister is 10 V. Also find Ia and Ib. What is the total power loss in the circuit?

[7+9]

3.(a) A resistance and inductance are connected in series across a voltage given

by t tv ω= sin283)( . The power drawn by the series combination is 400 W and the current

has a maximum value of 4 A. Determine the circuit parameters and the power factor of the circuit.

(b) A periodic voltage waveform has been shown in the below figure 3. Determine the following.

(i) Frequency of the waveform (ii) Wave equation for 0< t <100 m sec (iii) R.M.S. value and (iv) Average value

Figure 3 [8+8]

Page 2 of 3

x Ib

2 Ω

y

5 Ω

Ia

6 Ω

4 Ω

Figure 2(b)

V(t)

Vm

t (ms) π 2π 0

Set No - 4

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4.(a) A series RC circuit having variable R and C = 20µF is supplied from AC source having

voltage V= 0200∠ volt at ω = 2000 rad/sec. Draw current locus for sample values of R = 0, 5, 15, 25, 35, 50Ω.

(b) A series RLC circuit has the following parameters. R = 15 ohms, L = 2H, C = 100 micro F. Calculate the resonant frequency. Under resonant condition, calculate current, power, and voltage drops across various elements, if the applied voltage is 100V.

[8+8] 5.(a) Two coils with 300 turns and 700 turns are wound side by side on a closed magnetic circuit

of area of cross section 400cm2 and mean length 80 cm, the magnetic circuit has relative permeability of 4000. Determine the mutual inductance, self induced e.m.f and mutually induced e.m.f when the current in the coil with 300 turns grows from zero to 25A in a time of 0.3 sec.

(b) Write the Loop Equations for the Coupled circuit shown in Figure.5.

[8+8]

6.(a) Explain the principles of duality? Write a graphical procedure to draw a dual network? (b) Find the branch currents shown in below figure 6 by using the concept of the tie-set matrix.

[8+8]

Page 2 of 3

5Ω

6Ω

3Ω

25V

1Ω

2Ω

2Ω

+

-

Figure 6

Set No - 4

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Subject Code: R13212/R13 7.(a) Obtain Thevenin’s equivalent circuit for the network shown in Figure 7a.

(b) Find current through 1 Ω resistor using Millman’s theorem for the circuit shown in fig. 7b.

[8+8]

*****

Page 3 of 3

4V

+

-

2KΩ 3KΩ +

-

Vx

4000

xV

Figure 7a

5A 3A 1Ω 2Ω 2Ω

Figure 7b

Set No - 4

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Subject Code: R13204/R13 I B. Tech II Semester Regular/Supply Examinations July - 2015

ENGINEERING CHEMISTRY (Common to ECE, EEE, EIE, Bio-Tech, E Com.E, Agri. E)




*****

PART-A

1. (a) What are the requirements for a potable water.

(b) Differentiate between tinning and galvanizing.

(c) Explain the function of gypsum in cement.

(d) How is Thiokol prepared?

(e) Write short notes on (i) concentration cell (ii) Natural gas

[4+4+3+3+8]

PART-B

2. (a) Explain with a neat sketch, cold lime soda process of softening of water

(b) Write the charging and discharging reactions occurring in a lead acid storage battery.

(c) Discuss the theory of dry corrosion.

[6+5+5]

3. (a) Write notes on sterilization and disinfection of water

(b) What are the drawbacks of natural rubber? How can they be improved?

(c) What are the advantages of gaseous fuels over liquid and solid fuels?

[5+6+5]

4. (a) Define ion-selective electrodes. Explain working of fluoride ion-selective electrode.

(b) Explain the applications of liquid crystals.

(c) Discuss reverse osmosis and its advantages.

[6+5+5]

5. (a) Discuss electroplating and electroless plating on metals

(b) Discuss the construction of galvanic cell with a neat figure.

(c) Discuss the preparation and properties of PE.

[6+5+5]

6. (a) What is cracking. Discuss any one catalytic cracking method for synthesis of petrol.

(b) Write notes on cathodic protection

(c) Describe any one method for green synthesis.

[6+5+5]

7. (a) What are nanoparticles. Explain the properties of carbon nanoparticles.

(b) Calculate the HCV and LCV of coal having the following composition: C= 82%,

H= 5%, S = 1.5%, N = 1% and remaining ash. Assume latent heat of steam.

(c) Discuss the types of polymerization with examples.

[6+5+5]

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Set No - 1

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*****

PART-A

1. (a) Discuss hardness, temporary hardness and permanent hardness of water.

(b) Explain Pilling-Bedworth rule

(c) Write notes on biodegradable polymers.

(d) Discuss (i) electrochemical series (ii) vulcanization (iii) Fullerenes

[3+4+6+9]

PART-B

2. (a) With a help of neat sketch, explain zeolite process of softening of water.

(b) Explain the applications of Kohlraush Law

(c) What are the various constituents of paints and discuss their functions.

[6+5+5]

3. (a) Discuss break-point chlorination of water.

(b) Explain extrusion and injection moulding techniques for fabrication of plastics.

(c) Discuss proximate analysis of coal

[5+6+5]

4. (a) What are fuel cells. Discuss the construction of H2-O2 fuel cell.

(b) Discuss the need of green chemistry.

(c) Write notes on caustic embrittlement and boiler corrosion.

[6+5+5]

5. (a) Discuss electrochemical theory of corrosion.

(b) Write notes on potentiometric titrations.

(c) Discuss stereo-specific polymers

[6+5+5]

6. (a) A fuel has the following analysis. Calculate the minimum weight of air required for

combustion of 1 kg of this fuel. C - 80%; H - 5%; O - 1%; S – 1.5% rest is nitrogen and

ash. Also find the HCV and LCV for the above fuel. Assume latent heat of condensation

of steam.

(b) Write notes on hot dipping and cladding.

(c) Discuss photovoltaic cells

[6+5+5]

7. (a) Write notes on fiber reinforced plastics.

(b) Discuss the preparation and applications of styrene butadiene rubber.

(c) Discuss fluid bed catalytic cracking method for synthesis of petrol.

[6+5+5]

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Set No - 2

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*****

PART-A

1. (a) Define specific and equivalent conductances of an electrolyte and mention their units.

(b) Discuss applications of Thiokol.

(c) Write notes on

(i) single and multi-walled CNTs (ii) Octane and cetane number

(iii) electroplating (iv) anionic and cationic ion exchangers

[3+3+16]

PART-B

2. (a) Discuss the various types of boiler troubles and how they can be minimized.

(b) Write notes on conductometric titrations.

(c) Explain electrochemical theory of corrosion.

[6+5+5]

3. (a) Discuss the principle and procedure for estimation of hardness of water.

(b) Explain the physical and mechanical properties of polymers.

(c) Discuss fixed bed catalytic cracking method for synthesis of petrol.

[5+6+5]

4. (a) Derive Nernst equation.

(b) Write notes on green house effect.

(c) Explain with neat sketch, electrodialysis method for desalination of water.

[6+5+5]

5. (a) Explain sacrificial anodic and impressed current cathodic protection method of

corrosion.

(b) Discuss the construction and working of glass electrode.

(c) Discuss the preparation and properties of PVC.

[6+5+5]

6. (a) The percentage composition of a sample of anthracite coal is C = 87; H= 5.5; O= 4;

N = 2; S = 0.5 and remainder is ash. Estimate the minimum weight of air required

for combustion of 1 Kg of this fuel and the composition of the dry products of

combustion by volume if 50% excess air is supplied.

(b) Explain galvanization and tinning methods for protection of iron from corrosion.

(c) Discuss the applications of green synthesis.

[6+5+5]

7. (a) Discuss the various reactions occurring during setting and hardening of cement.

(b) Explain compression and transfer moulding techniques for fabrication of plastics.

(c) Discuss refining of petroleum.

[6+5+5]

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Set No - 3

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*****

PART-A

1. (a) Calculate the emf of the following cell at 250C using Nernst equation.

Zn(s) / Zn2+

(0.2 M) // Ag+ (0.002M) / Ag(s). The standard emf of the cell is 1.49 V

(b) Discuss the effect of pH, humidity and temperature on rate of corrosion

(c) Write notes on (i) p-type conducting polymers (ii) knocking (iii) boiler corrosion

[5+5+12]

PART-B

2. (a) Describe hot lime soda process. How is this process advantageous over cold lime

soda process?

(b) Write notes on concentration cells.

(c) Discuss any two methods of application of surface coatings on metals.

[6+5+5]

3. (a) Discuss priming and foaming. How are they minimized?

(b) Discuss compounding of plastics.

(c) A fuel has the following analysis. C - 76%; H - 9%; O - 2%; S - 1% rest is nitrogen and

ash. Find the HCV and LCV for the above fuel. Assume latent heat of condensation of

steam.

[5+6+5]

4. (a) What are secondary batteries. Give one example and write down the chemical reactions

occurring at anode and cathode in the cell.

(b) Write notes on turbine deposits.

(c) Discuss on deterioration of cement concrete.

[6+5+5]

5. (a) Explain how proper designing of material helps in corrosion control.

(b) Explain single electrode potential.

(c) Differentiate between thermoplastics and thermosetting plastics.

[6+5+5]

6. (a) Discuss breifly the working of Orsat apparatus for estimation of flue gases.

(b) Write notes on (i) Impressed current cathodic method (ii) Electroless plating

(c) Explain about solar reflectors.

[6+5+5]

7. (a) Discuss any four applications of liquid crystals and carbon nanotubes.

(b) Discuss the preparation and properties of Bakelite.

(c) Write notes on LPG and CNG.

[6+5+5]

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Set No - 4

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ENGINEERING DRAWING (Computer Science Engineering)




*****

PART-A

1.(a) Draw the isometric view as shown in fig.1

Fig.1 (Note: all dimensions are in mm)

(b) A plate having shape of an isosceles triangle has base 50mm long and altitude 70mm. It

is also placed that in the front view. It is seen as an equilateral triangle of 50mm sides and

one side inclined at 450 to xy. Draw its top view.

[12+10]

PART-B

2. A plot of ground is in the shape of a rectangle 110m x 50m. Inscribe an elliptical lawn in

it. Take a suitable scale.

[16]

3.(a) A point A is 35mm above HP and 20mm in front of VP. Draw the front, top and right

side view.

(b) A vertical line AB, 75mm long, has its end A in the HP and 25mm in front of the VP. A

line AC, 100mm long, is in the HP and parallel to the VP. Draw the projections of the

line joining B and C, and determine its inclination with the HP.

[8+8]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


4. The midpoint M of a straight line AB is 60mm above

line measures 80mm long and inclined at an angle of 30

projections.

5. Draw the projections of a rhombus having diagona

diagonal of which is parallel to both the principle planes while the other is inclined at 30

to the HP.

6. Draw the projections of a cone, base 30mm diameter and axis 50mm long, resting on HP

on a point of its base circle with the axis making an angle of 45

VP.

7. Draw (i) Front View (



The midpoint M of a straight line AB is 60mm above HP and 50mm in front of VP. The

line measures 80mm long and inclined at an angle of 300 to HP and 45

0

Draw the projections of a rhombus having diagonals 125mm and 50mm long; the smaller


Draw the projections of a cone, base 30mm diameter and axis 50mm long, resting on HP

point of its base circle with the axis making an angle of 450 with HP and parallel to

(ii) Top View (iii) Side View from the left as shown in fig.2

ig.2 (Note: all dimensions are in mm)

*****

Page 2 of 2

HP and 50mm in front of VP. The 0 to VP. Draw its

[16]

ls 125mm and 50mm long; the smaller


[16]

Draw the projections of a cone, base 30mm diameter and axis 50mm long, resting on HP

with HP and parallel to

[16]

as shown in fig.2

[16]

Set No - 1

||''''|||''|'''||''|


I B. Tech II Semester Regular/Supplementary

ENGINEERING DRAWING

Time: 3 hours Max. Marks: 70Question Paper Consists of

Answering the question in

Three Questions should be answered from

1.(a) Draw (i) Front View (ii) Top View


(b) A square pyramid, base 40mm side and axis 90mm

ground and the vertical plane containing the axis makes an angle of 45

2.(a) Draw heptagon given the length of side 25mm

(b) Divide a straight line of 80mm length into six equal parts.

Subject Code: R13209/R13 I B. Tech II Semester Regular/Supplementary Examinations July/Aug.


Time: 3 hours Max. Marks: 70Question Paper Consists of Part-A and Part-B



*****

PART-A

ii) Top View (iii) Side View as shown in fig.1


A square pyramid, base 40mm side and axis 90mm long, has a triangular face on the

ground and the vertical plane containing the axis makes an angle of 450

PART-B

given the length of side 25mm

Divide a straight line of 80mm length into six equal parts.

Page 1 of 2

July/Aug. - 2015

Time: 3 hours Max. Marks: 70

long, has a triangular face on the

[12+10]

[8+8]

Set No - 2

||''''|||''|'''||''|


3.(a) A point 30mm above xy line is the plan view of two points P and Q. The elevation of P is

45mm above the HP while that of the point Q is 35mm below the HP. Draw the

projections of the points and state their position with reference to the principle planes and

the quadrant in which they lie.

(b) The front view of a line, inclined at 300 to the VP is 65mm long. Draw the projections of

the line, when it is parallel to and 40mm above the HP; its one end being 30mm in front

of the VP

[8+8]

4. A line measuring 80mm long has one of its ends 60mm above HP and 20mm in front of

VP. The other end is 15mm above HP and in front of VP. The front view of the line is

60mm long. Draw the top view.

[16]

5. A circular lamina of 60mm diameter rests on HP on a point on the circumference. The

lamina is inclined to HP such that the top view of it is an ellipse of minor axis 35mm. The

top view of the diameter through the point makes an angle of 450 with VP.

(i) Draw the projections

(ii) Determine the angle made by the lamina with HP

[16]

6. A pentagonal prism, side of base 25mm and axis 50mm long, rests with one of its edges

on HP such that the base containing that edge makes an angle of 300 to HP and its axis is

parallel to VP. Draw its projections.

[16]

7. Draw the isometric view as shown in fig.2

[16]


*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A



(b) Draw the projections of a cone, base 50mm diameter and axis 75mm long, lying on a

generator on the ground with the top view of the axis making an angle of 450

with the VP.

[12+10]

PART-B

2.(a) Construct a vernier scale to read meters, decimeters and centimeters and long enough to

measure up to 4m. RF of the scale is 1/20. Mark on your scale a distance of 2.28m.

(b) Construct a regular pentagon of side 30mm

[8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


3.(a) Draw the projections of a line CD 50mm long, parallel to HP and inclined to VP. The end

C is 10mm in front of VP and D is 30mm in front of VP. The line is

(b) A line AB 25mm long is parallel to VP and perpendicular to HP. Point A is 35mm above

HP and 20mm in front of VP. Point B is 10mm above HP. Draw the projections of the

line AB.

4. Draw the projections of a straight line AB

touching the VP and the other end touching HP. The angles of inclinations with HP and

VP are 400 and 50

0 respectively.

5. A thin 300-60

0 set square has its longest edge in VP and inclined at 30

makes 450 with VP. Draw its projections.

6. Draw the projections of a

corners and a face containing that corner is inclined at 30

perpendicular to VP.

7. Draw (i) Front View (ii) Top View



Draw the projections of a line CD 50mm long, parallel to HP and inclined to VP. The end

C is 10mm in front of VP and D is 30mm in front of VP. The line is 15mm above HP.

A line AB 25mm long is parallel to VP and perpendicular to HP. Point A is 35mm above


Draw the projections of a straight line AB of 100mm length when one of its ends is


respectively.

set square has its longest edge in VP and inclined at 300 to HP. Its surface

with VP. Draw its projections.

Draw the projections of a cube of side 40mm when it rests on the ground on one of its

corners and a face containing that corner is inclined at 300 to the ground and



*****

Page 2 of 2

Draw the projections of a line CD 50mm long, parallel to HP and inclined to VP. The end

15mm above HP.

A line AB 25mm long is parallel to VP and perpendicular to HP. Point A is 35mm above


[8+8]

of 100mm length when one of its ends is


respectively.

[16]

to HP. Its surface

with VP. Draw its projections.

[16]

cube of side 40mm when it rests on the ground on one of its

to the ground and

[16]

[16]

Set No - 3

||''''|||''|'''||''|



ENGINEERING DRAWING




1.(a) Draw (i) Front View (ii) Side View


(b) Draw an equilateral triangle of 75mm side and inscribe a circle in it. Draw the

projections, when its plane is vertical and inclined at 30

the triangle is inclined at 45

2. The foci of an ellipse are 90mm apart and the minor axis is 65mm long.

(i) Determine the length of the major axis and draw half the ellipse by

method and the other half by oblong method.

(ii) Draw tangent and normal to the curve drawn.






*****

PART-A

ii) Side View from the right (iii) Top View as shown in fig.1


l triangle of 75mm side and inscribe a circle in it. Draw the

projections, when its plane is vertical and inclined at 300 to the VP and one of the sides of

the triangle is inclined at 450 to the HP.

PART-B

The foci of an ellipse are 90mm apart and the minor axis is 65mm long.

Determine the length of the major axis and draw half the ellipse by concentric circles

method and the other half by oblong method.


Page 1 of 2

Examinations July/Aug. - 2015


as shown in fig.1

l triangle of 75mm side and inscribe a circle in it. Draw the

to the VP and one of the sides of

to the HP.

[12+10]

concentric circles


[16]

Set No - 4

||''''|||''|'''||''|


3.(a) A line CD is parallel to VP and inclined at 400 to HP. C is in HP and 25mm in front of

VP. Top view is 50mm long. Find its true length.

(b) Draw the projections of the following points on the same ground line, keeping the

projectors 25mm apart.

(i) A, in the HP and 20mm behind the VP

(ii) B, 40mm above the HP and 25mm in front of the VP

(iii) C, in the VP and 40mm above the HP

[8+8]

4. The projections of the ends of a line EF are on the same projector. The end E is 10mm

above HP and 15mm in front of VP. The end F is 35mm above HP and 45mm in front of

VP. Draw the projections. Find the true length, true inclinations and traces.

[16]

5. A thin circular plate of 70mm diameter is resting on its circumference such that its plane

is inclined at 600 to the HP and 30

0 to the VP. Draw the projections of the plate.

[16]

6. A hexagonal prism, side of base 25mm and axis 50mm long rests with one of its base

corners on HP such that its base makes an angle of 600 to HP and its axis is parallel to

VP. Draw its projections.

[16]


[16]

*****


Page 2 of 2

Set No - 4

||''''|||''|'''||''|


ENGINEERING DRAWING (Common to CE, PCE, IT, Chem E, Aero E, Auto E, Min E, Pet E, Metal E)




*****

PART-A



(b) A cube of edges 40mm side is hung by a string attached to one of its corners. Draw its

projections when two of its edges containing the corner from which it is hung are equally

inclined to VP.

[12+10]

PART-B

2.(a) Draw a vernier scale of RF=2:1 to show centimeters and millimeters and long enough to

measure up to 7cm. Measure a distance of 4.25cm on the scale.

(b) Draw an Octagon given the length of side 25mm

[8+8]

3.(a) A point A is situated in the first quadrant. Its shortest distance from the intersection point

of HP; VP and auxiliary plane is 60mm and it is equidistant from the principle planes.

Draw the projections of the point and determine its distance from the principle planes.

(b) A line MN 50mm long is parallel to VP and inclined at 300 to HP. The end M is 20mm

above HP and 10mm in front of VP. Draw the projections of the line. [8+8]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


4. A line AB is 75mm long. A is 50mm in front of VP and 15mm above

front of VP and is above HP. Top view of AB is 50mm long. Find the front view length

and the true inclinations.

5. A regular hexagonal lamina of 26mm side has a central hole of 30mm diameter. Draw the

front and top views when the surface of the lamina is inclined at 45

lamina is inclined at 350 to VP.

6. An equilateral triangle of 60 mm side represents the front view of a cone standing on its

base. It is tilted until its axis makes 30

in this position. Draw the projections of cone.

7. Draw (i) Front View (ii) Side

Fig.2

/R13

A line AB is 75mm long. A is 50mm in front of VP and 15mm above HP. B is 15mm in


ular hexagonal lamina of 26mm side has a central hole of 30mm diameter. Draw the

front and top views when the surface of the lamina is inclined at 450 to HP. A side of

to VP.

An equilateral triangle of 60 mm side represents the front view of a cone standing on its

base. It is tilted until its axis makes 300 with HP and top view of the axis is parallel to VP

in this position. Draw the projections of cone.

ii) Side View (iii) Top View as shown in fig.2


*****

Page 2 of 2

HP. B is 15mm in


[16]

ular hexagonal lamina of 26mm side has a central hole of 30mm diameter. Draw the

to HP. A side of

[16]

An equilateral triangle of 60 mm side represents the front view of a cone standing on its

view of the axis is parallel to VP

[16]

[16]

Set No - 1

||''''|||''|'''||''|



ENGINEERING (Common to CE, PCE, IT, Chem



Three Ques



(b) A circular plate of negligible thickness and 50mm diameter appears as an ellipse in the

front view, having its major axis 50mm long and minor axis 30mm long. Draw its top

view when the major axis of the ellipse is horizontal.

2.(a) Construct a diagonal scale

up to 7m. Indicate a distance of 5.45m.

(b) Construct a regular polygon of any number of sides, given

25mm.

/R13 I B. Tech II Semester Regular/Supplementary Examinations July/Aug.

ENGINEERING DRAWING CE, PCE, IT, Chem E, Aero E, Auto E, Min E, Pet E, Metal E




*****

PART-A



negligible thickness and 50mm diameter appears as an ellipse in the


view when the major axis of the ellipse is horizontal.

PART-B

Construct a diagonal scale to read up to 1/100th

of a meter given RF=1/50 and to measure

up to 7m. Indicate a distance of 5.45m.

Construct a regular polygon of any number of sides, given the length of its sides equal to

Page 1 of 2


E, Aero E, Auto E, Min E, Pet E, Metal E)


negligible thickness and 50mm diameter appears as an ellipse in the


[12+10]

of a meter given RF=1/50 and to measure

the length of its sides equal to

[8+8]

Set No - 2

||''''|||''|'''||''|


3.(a) Draw the orthographic projections of the following points:

(i) A, 20mm above HP and 30mm behind VP

(ii) B, 25mm below HP and 25mm in front of VP

(iii) C, 25mm below HP and 30mm behind VP

(iv) D, 30mm below HP and in VP

(b) The top view of a 75mm long line measures 55mm. The line is in the VP; it’s one end

being 25mm above the HP. Draw its projections.

[8+8]

4. The top view of a line is 65mm long and is inclined at 300 to the reference line. One end

is 20mm above HP and 10mm in front of VP. The other end is 60mm above HP and in

front of VP. Draw the projections and find the true length of the line and its true

inclinations to HP and VP.

[16]

5. A rhombus has its diagonals 80mm and 40mm long. The smaller diagonal is parallel to

both HP and VP. The longer diagonal is inclined at 350 to HP. Draw the projections.

[16]

6. A pentagonal pyramid of base edge 25mm and altitude 60mm rests on one side of base on

HP such that the highest base corner is 20mm above HP. Its axis is parallel to VP. Draw

its projections.

[16]



[16]

*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|


ENGINEERING DRAWING (Common to CE, PCE, IT, Chem E, Aero E, Auto E, Min E, Pet E, Metal E)




*****

PART-A


Fig.1(Note: all dimensions are in mm)

(b) A thin circular metal plate of 54mm diameter has a square hole of 27mm side, cut

centrally through it. Draw the projections when the plate is resting on HP with its surface

inclined at 300

to HP and an edge of the square hole perpendicular to VP.

[12+10]

PART-B

2.(a) The foci of an ellipse are 90mm apart and the minor axis is 72mm long. Determine the

length of the major axis. Construct the ellipse. Draw a tangent to the ellipse from any

point outside the ellipse.

(b) Construct a regular hexagon of side 28mm when one side is horizontal.

[8+8]

3.(a) A line MN 50mm long is parallel to VP and inclined at 300 to HP. The end M is 20mm

above HP and 10mm in front of VP. Draw the projections of the line.

(b) A point P is 20mm below HP and lies in the third quadrant. Its shortest distance from xy

is 40mm. Draw its projections.

[8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


4. The distance between the projections of two points A and B is 70mm. A is 10mm above

HP and 15mm in front of

shortest distance between A and B by rotating line method. Find true inclinations of AB

with VP and HP.

5. Draw the projections of a pentagonal sheet of 26mm side, having its surface inclined

300 to VP. It’s one side is parallel to VP and inclined at 45

6. A cylinder of diameter of base 50mm and height 60mm is suspended freely from a point

on its circular rim. The projection of the axis on H

projections of the cylinder.

7. Draw (i) Front View (ii)


/R13

The distance between the projections of two points A and B is 70mm. A is 10mm above

HP and 15mm in front of VP. B is 50mm above HP and 40mm in front of VP. Find the


Draw the projections of a pentagonal sheet of 26mm side, having its surface inclined

to VP. It’s one side is parallel to VP and inclined at 450 to HP.

A cylinder of diameter of base 50mm and height 60mm is suspended freely from a point

on its circular rim. The projection of the axis on HP is parallel to the XY line. Draw the


) Side View from the right (iii) Top View as shown


*****

Page 2 of 2

The distance between the projections of two points A and B is 70mm. A is 10mm above

VP. B is 50mm above HP and 40mm in front of VP. Find the


[16]

Draw the projections of a pentagonal sheet of 26mm side, having its surface inclined at

[16]

A cylinder of diameter of base 50mm and height 60mm is suspended freely from a point

P is parallel to the XY line. Draw the


[16]

as shown in fig.2

[16]

Set No - 3

||''''|||''|'''||''|



ENGINEERING (Common to CE, PCE, IT, Chem E, Aero E, Auto E, Min E, Pet E, Metal E





Fig.1

(b) A regular hexagon of 40mm side has a corner in the HP. Its surface is inclined at 45

the HP and the top view of a diagonal through the corner which is in the HP makes an

angle of 600 with the VP. Draw the projectio

2. The major axis of an ellipse is 150mm long and the minor axis is 100mm long. Find the

foci and draw the ellipse by arcs of circles method. Draw a tangent to the ellipse at a

point on it 25mm above the major axis.

3.(a) Draw the orthographic projections of the following points:

(i) Point Q is 25mm above HP and 35mm behind VP

(ii) Point P is 30mm above HP and 40mm i

(iii) Point R is32mm below HP and 45mm behind VP

(iv) Point S is 35mm below HP and 42mm in front of VP

/R13 I B. Tech II Semester Regular/Supplementary Examinations July/Aug.

ENGINEERING DRAWING CE, PCE, IT, Chem E, Aero E, Auto E, Min E, Pet E, Metal E




*****

PART-A

ii) Top View (iii) Side View, as shown in fig.1


A regular hexagon of 40mm side has a corner in the HP. Its surface is inclined at 45


with the VP. Draw the projections.

PART-B

The major axis of an ellipse is 150mm long and the minor axis is 100mm long. Find the


point on it 25mm above the major axis.

Draw the orthographic projections of the following points:

Point Q is 25mm above HP and 35mm behind VP

Point P is 30mm above HP and 40mm in front of VP

iii) Point R is32mm below HP and 45mm behind VP

iv) Point S is 35mm below HP and 42mm in front of VP

Page 1 of 2


CE, PCE, IT, Chem E, Aero E, Auto E, Min E, Pet E, Metal E)


iii) Side View, as shown in fig.1

A regular hexagon of 40mm side has a corner in the HP. Its surface is inclined at 450 to


[12+10]

The major axis of an ellipse is 150mm long and the minor axis is 100mm long. Find the


[16]

Set No - 4

||''''|||''|'''||''|


3.(b) A line AB 50mm long is perpendicular to VP and parallel to HP. Its end A is 20mm in

front of VP and the line is 40mm above HP. Draw the projections of the line.

[8+8]

4. The projections of a line measure 80mm in the top view and 70mm in the front view. The

midpoint of the line is 45mm in front of VP and 35mm above HP. One end is 10mm in

front of VP and nearer to it. Draw the projections. Find true length and true inclinations

with reference planes.

[16]

5. A thin rectangular lamina EFGH of 60mm length and 36mm width is inclined at an angle

of 450 to VP. Its longer edge is making an angle of 30

0 with VP. Draw the projections.

[16]

6. A tetrahedron of 40 mm side rests with one of its edges on HP and perpendicular to VP.

The triangular face containing that edge is inclined at 300 to HP. Draw its projections.

[16]



[16]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


ENGINEERING DRAWING (Mechanical Engineering)




*****

PART-A

1.(a) Draw the isometric view as shown in Fig.1


(b) A regular pentagonal prism lies with its axis inclined at 600 to HP and parallel to VP. The

prism is 70mm long and has a face width of 25mm. The highest rectangular face is

perpendicular to VP. The prism leans to the left. Draw the top and front views.

[12+10]

PART-B

2.(a) A car is moving at a speed of 360 km/hour. Draw a diagonal scale to represent 6km by

1cm to show a maximum distance of 60km. Measure the distance travelled by the car at 6

minutes 10 seconds.

(b) Construct a regular hexagon of side 28mm when one side is horizontal.

[8+8]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


3.(a) A line AB 60mm long is parallel

front of VP. The length of the front view is 50mm. Determine its true inclination with

VP.

(b) A point A is situated in the first quadrant. Its shortest distance from the intersection point

of HP; VP and auxiliary plane is 60mm and it is equidistant from the principle planes.


4. A line AB has its end A in HP and 40mm in front of VP. Its front view

to XY and has a length of 70mm. The other end B is in VP. Draw its projections. Also,

find the true length and true inclinations of the line.

5. Draw the projections of a circle of 50mm diameter resting in the HP on a point A on the

circumference, its plane inclined at 45

making 300 angle with the VP.

6. A hexagonal pyramid, side of base 25mm and axis 50mm long, rests with one of the

edges of its base on HP and its axis is inclined at 30

projections.

7. Draw (i) Front View



A line AB 60mm long is parallel to HP. The point A is 20mm above HP and 35mm in


A point A is situated in the first quadrant. Its shortest distance from the intersection point

auxiliary plane is 60mm and it is equidistant from the principle planes.


A line AB has its end A in HP and 40mm in front of VP. Its front view


find the true length and true inclinations of the line.

projections of a circle of 50mm diameter resting in the HP on a point A on the

circumference, its plane inclined at 450 to the HP and the top view of the diameter

with the VP.

A hexagonal pyramid, side of base 25mm and axis 50mm long, rests with one of the

edges of its base on HP and its axis is inclined at 300 to HP and parallel to VP. Draw its

i) Front View (ii) Top View (iii) Side View as shown in Fig.2


*****

Page 2 of 2

to HP. The point A is 20mm above HP and 35mm in


A point A is situated in the first quadrant. Its shortest distance from the intersection point

auxiliary plane is 60mm and it is equidistant from the principle planes.


[8+8]

is inclined at 500


[16]

projections of a circle of 50mm diameter resting in the HP on a point A on the

to the HP and the top view of the diameter

[16]

A hexagonal pyramid, side of base 25mm and axis 50mm long, rests with one of the

to HP and parallel to VP. Draw its

[16]

as shown in Fig.2

[16]

Set No - 1

||''''|||''|'''||''|



ENGINEERING DRAWING




1.(a) Draw (i) Front View


(b) A pentagonal pyramid with side of base 30mm and axis 60mm long rests with an edge of

its base on HP such that its axis is parallel to both HP and V.P. Draw the projection of the

solid.

2. Construct an ellipse when the major axis is 120mm

108mm. Determine the length of the minor axis.

3.(a) Two points A and B are in the HP. The point A is 30mm in front of the VP while B is

behind the VP. The distance between their projectors is75mm and the line joining their

top views makes an angle of 45

(b) A line CD 30mm long is parallel to both the planes. The

25mm in front of VP. Draw its projections.

Subject Code: R13209/R13 Semester Regular/Supplementary Examinations July/Aug.





*****

PART-A



pentagonal pyramid with side of base 30mm and axis 60mm long rests with an edge of


PART-B

Construct an ellipse when the major axis is 120mm and the distance between the foci is

108mm. Determine the length of the minor axis.

Two points A and B are in the HP. The point A is 30mm in front of the VP while B is

ind the VP. The distance between their projectors is75mm and the line joining their

top views makes an angle of 450 with xy. Find the distance of the point B from the VP.

A line CD 30mm long is parallel to both the planes. The line is 40mm above HP and

25mm in front of VP. Draw its projections.

Page 1 of 2



as shown in Fig.1

pentagonal pyramid with side of base 30mm and axis 60mm long rests with an edge of


[12+10]

and the distance between the foci is

[16]

Two points A and B are in the HP. The point A is 30mm in front of the VP while B is

ind the VP. The distance between their projectors is75mm and the line joining their

with xy. Find the distance of the point B from the VP.

line is 40mm above HP and

[8+8]

Set No - 2

||''''|||''|'''||''|


4. A line AB, 65mm long, has its end A 20mm above HP and 25mm in front of VP. End B

is 40mm above HP and 65mm in front of VP. Draw the projections of AB. Find its

inclinations with HP and VP.

[16]

5. A 600 set square of 125mm longest side is so kept that the longest side is in the HP

making an angle of 300 with the VP and the set square itself inclined at 45

0 to the HP.

Draw the projections of the set-square.

[16]

6. Draw the projections of a cylinder 75mm diameter and 100mm long, lying on the ground

with its axis inclined at 300 to the vertical plane.

[16]

7. Draw the isometric view as shown in Fig.2

[16]

*****


Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) Draw the isometric view as shown in Fig.1


(b) A composite plate of negligible thickness is made up of a rectangle 60mm × 40 mm and a

semi-circle on its longer side. Draw its projections when the longer side is parallel to the

HP and inclined at 450 to the VP; the surface of the plate making 30

0 angle with the HP.

[12+10]

PART-B

2.(a) A distance of 30cm measure on a topography represents 450m. Construct a diagonal scale

showing divisions of 50cm capable of measuring 300m. Mark on your scale the distance

of 255.5m and 177.5m.

(b) A truck is moving at the rate of 1.2 km/min. Construct a diagonal scale with RF value of

1/25000, showing minutes and seconds. Mark the distance moved by the truck in

4minutes and 27 seconds.

[8+8]

3.(a) A line GH 45mm long is in HP and inclined to VP. The end G is 15mm in front of VP.

Length of front view is 35mm. Draw the projections of the line. Find its inclination with

VP.

(b) A line AB 60mm long is parallel to HP. The point A is 20mm above HP and 35mm in

front of VP. The length of the front view is 50mm. Determine the true inclination with

VP. [8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


4. A line CD, inclined at 250

quadrant and 25mm and 15mm from HP and VP respectively. End D is at equal distances

from both reference planes. Draw the projections; find true length and true inclination

with VP. Locate the traces.

5. A thin square plate EFGH of 40mm side is having its corner G on HP. Diagonal GE is

inclined at 400 to HP and diagonal FH inclined at 40

projections.

6. A right regular triangular pyramid, ba

inclined lateral edges on HP such that the two triangular faces containing the inclined

edge on which it rests make equal inclinations with HP. The projection of the axis on the

HP is parallel to VP. Draw th

7. Draw (i) Front View (ii) Top View



A line CD, inclined at 2500 to HP, measures 80mm in top view. End C is in the first



with VP. Locate the traces.

A thin square plate EFGH of 40mm side is having its corner G on HP. Diagonal GE is

nd diagonal FH inclined at 400 to VP and parallel to HP. Draw its

projections.

A right regular triangular pyramid, base 35mm side and axis 60mm rests with one of its



HP is parallel to VP. Draw the projections.

ii) Top View (iii) Side View as shown in Fig.2


*****

Page 2 of 2

to HP, measures 80mm in top view. End C is in the first



[16]

A thin square plate EFGH of 40mm side is having its corner G on HP. Diagonal GE is

to VP and parallel to HP. Draw its

projections.

[16]

se 35mm side and axis 60mm rests with one of its



[16]

[16]

Set No - 3

||''''|||''|'''||''|



ENGINEERING DRAWING




1.(a) Draw (i) Front View


(b) A mirror of size 560mm x 320mm is fixed on a wall on one of its shortest edges. The

mirror is so fixed that it appears as a square in the front view. Draw the projections of the

mirror. Find its inclinations with the wall and ground.

2.(a) On the plan of a shopping complex, a line 10cm long represents a distance of 5m. Draw a

diagonal scale for the plan to read up to 6m showing meters, decimeters and centimeters.

Mark the lengths 3.24m and 5.57m.

(b) Inscribe an ellipse in a parallelogram having sides 150mm and 10mm long and an

included angle of 1200.






*****

PART-A



A mirror of size 560mm x 320mm is fixed on a wall on one of its shortest edges. The


mirror. Find its inclinations with the wall and ground.

PART-B

On the plan of a shopping complex, a line 10cm long represents a distance of 5m. Draw a


Mark the lengths 3.24m and 5.57m.

Inscribe an ellipse in a parallelogram having sides 150mm and 10mm long and an

Page 1 of 2



as shown in Fig.1

A mirror of size 560mm x 320mm is fixed on a wall on one of its shortest edges. The


[12+10]

On the plan of a shopping complex, a line 10cm long represents a distance of 5m. Draw a


Inscribe an ellipse in a parallelogram having sides 150mm and 10mm long and an

[8+8]

Set No - 4

||''''|||''|'''||''|


3.(a) A line EF 60mm long is in VP and inclined to HP. The top view measures 45mm. The

end E is 15mm above HP. Draw

(b) Two points A and B are in the HP. The point A is 30mm in front of the VP; while B is

behind the VP. The distance between their projectors is 75mm and the line joining their

top views makes an angle of 45

4. A line AB 55mm long has its one end 15mm above HP and 10mm in front of VP. It is

inclined at an angle of 55

5. ABCD is a symmetrical trapezium with AB=40mm and CD=64mm as its parallel sides

are 48mm height. The plane has its side AB in VP and CD 28mm away from it. The front

view of BC makes an angle of 35

angle with VP.

6. Draw the top and front view of a cone of base diameter 46mm and height 65mm lying

with one of its generators on HP. The axis is parallel to VP.

7. Draw the isometric view

Fig.2 (Note: all dimensions are i


A line EF 60mm long is in VP and inclined to HP. The top view measures 45mm. The

end E is 15mm above HP. Draw the projections of the line. Find its inclination with HP.

Two points A and B are in the HP. The point A is 30mm in front of the VP; while B is


top views makes an angle of 450 with xy. Find the distance of the point B from the VP.

A line AB 55mm long has its one end 15mm above HP and 10mm in front of VP. It is

inclined at an angle of 550 to HP and 35

0 to VP. Draw its three principal views.

ABCD is a symmetrical trapezium with AB=40mm and CD=64mm as its parallel sides


BC makes an angle of 350 with HP. Obtain the projections of the plane. Find its

Draw the top and front view of a cone of base diameter 46mm and height 65mm lying

with one of its generators on HP. The axis is parallel to VP.

Draw the isometric view as shown in Fig.2

*****


Page 2 of 2

A line EF 60mm long is in VP and inclined to HP. The top view measures 45mm. The

the projections of the line. Find its inclination with HP.

Two points A and B are in the HP. The point A is 30mm in front of the VP; while B is


with xy. Find the distance of the point B from the VP.

[8+8]

A line AB 55mm long has its one end 15mm above HP and 10mm in front of VP. It is

to VP. Draw its three principal views.

[16]

ABCD is a symmetrical trapezium with AB=40mm and CD=64mm as its parallel sides


with HP. Obtain the projections of the plane. Find its

[16]

Draw the top and front view of a cone of base diameter 46mm and height 65mm lying

[16]

[16]

Set No - 4

||''''|||''|'''||''|


ENGINEERING MECHANICS (Common to ECE, EEE, EIE, Bio-Tech, E Com.E, Agri. E)




*****

PART-A

1. (a) State and prove parallelogram law of forces.

(b) Write the steps for drawing the F.B.D.

(c) Describe the method of finding centre of gravity of composite bent wires.

(d) Define the term radius of gyration. Write the units.

(e) Distinguish between centroidal rotation and non-centriodal rotation.

(f) Explain the concept of work? What are the units of work?

[4+3+4+4+3+4]

PART –B

2. (a) Block A has mass of 20kg and block B has a mass of 10kg.Knowing that the coefficient

of friction is 0.15,between the two blocks and zero between the block B and the slope, find

the magnitude of frictional force between the two masses. What is the force in the string

tying the blocks? Refer the fig.1given below. Take g= 9.81 m/s2

Fig:1

(b) Classify the force system.

[12+4]

Page 1 of 3

Set No - 1

||''''|||''|'''||''|


3. Two spheres A and B are resting in a smooth vessel as shown in the fig.2. Draw the free

body diagrams of A and B showing all the forces acting on them, both in magnitude and

direction. Radius of spheres A and B are 250mm and 200mm respectively.

Fig.2

[16]

4. (a) Differentiate between centriod and centre of gravity.

(b) Find the centriod of the following shaded area as shown in fig.3.

Fig.3

[8+8]

Page 2 of 3

Set No - 1

||''''|||''|'''||''|


5. (a) State and prove perpendicular axis theorem.

(b) Find the moment of inertia of the plane shown in the fig.4, about centriodal x and y-axis.

Fig.4

[8+8]

6. (a) Differentiate kinematics and kinetics?

(b) A stone is dropped from the top of a tower 50m high. At the same time another stone is

thrown up from the foot of the same tower with a velocity 25m/s. At a distance from top

and after how much time the two stones cross each other.

[8+8]

7. (a) Derive work energy equation for translation.

(b) A man of weight 70kg standing at the end of a small boat of weight 35kg fires a bullet of

mass 25gm to hit a wooden block of weight 2.25kg resting on the shore. If the bullet

embedded block starts moving 5m/s, determine the velocity of the boat.

[8+8]

*****

Page 3 of 3

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1. (a) State and prove principle of transmissibility of forces.

(b) Find the fourth force so as to give the resultant of the system of force as shown in the fig.1

below

Fig.1

(c) Describe the method of finding centroid of composite areas.

(d) Define the term moment of inertia. Write the units.

(e) Distinguish between rectilinear motion and curvilinear motion.

(f) Write the salient features of conservative force.

[4+4+4+3+4+3]

PART –B

2. (a) Two cylinders each of diameter 100mm and each weighing 200N are placed as shown in

the fig.2 below. Assuming that all the contact surfaces are smooth, find the reactions at A,

B and C.

Fig.2

(b) State and prove Varignon’s theorem.

[8+8]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


3. (a) Write the laws of friction. Prove that angle of friction is equal to angle of repose.

(b) What is meant by (i) Resolution of force (ii) Composition of force

(iii) Moment of force (iv) Moment of couple

[8+8]

4. (a) Derive the expressions for the centre of gravity of a flat plate

(b) Find the centroid of the shaded area shown in fig.3.

Fig.3

[8+8]

5. (a) Find the mass Moment of Inertia of circular plate of radius R and thickness t about its

centroidal axis

(b) Find the moment of inertia of the plane shown in the fig.4 about centriodal x and y-axis.

Fig.4

[8+8]

6. (a) Derive the relation for component of normal acceleration an.

(b) A stone is dropped from the top of a tower 60m high .At the same time another stone is

thrown up from the foot of the same tower with a velocity 30m/s. At a distance from top

and after how much time the two stones cross each other.

[8+8]

7. (a) Derive the expression for work done and kinetic energy for a rigid body.

(b) A man of weight 80kg standing at the end of a small boat of weight 40kg fires a bullet of

mass 30gm to hit a wooden block of weight 3.25kg resting on the shore. If the bullet

embedded block starts moving 6m/s, determine the velocity of the boat.

[8+8]

*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1. (a) Following forces act at a point P, F1 =50i, F2 = 30i – 15j, F3 = -25i-10j+5k.

Determine the resultant and the inclination with the co-ordinate axes.

(b) Find the resultant of the given the force system as shown in fig.1.

Fig.1

(c) Find the centroid of quarter circle

(d) Derive the moment of inertia of triangle about its base.

(e) Distinguish between rectilinear motion and curvilinear motion

(f) Write about the work energy equation.

[4+4+4+3+4+3]

PART –B

2. (a) A 700N force passes through two points A(-,1,-4) towards B(1,2,6).Find the moment force

about point C(2,-2,1) and scalar moments of force about line OC where O is the origin.

(b) State and prove Lami’s theorem.

[8+8]

3. Find the value of P in the fig.2 shown below

Fig.2

[16]

Page 1 of 3

Set No - 3

||''''|||''|'''||''|


4. (a) Derive an expressions for the centriod of sector of a circle.

(b) Find the centriod of the shaded area shown in fig.3

Fig.3

[8+8]

5. (a) Find the mass Moment of Inertia of a rectangular lamina.

(b) Find the moment of inertia of the plane shown in the fig.4 about centriodal x and y-axis.

Fig.4

[8+8]

6. (a) Show the relation between rectangular components of normal and tangential components

of acceleration.

(b) A stone is dropped into a well with no initial velocity and after 4.5 sec a splash is heard. If

the velocity of sound is 330 m/s, find the depth of the well up to water level.

[8+8]

Page 2 of 3

Set No - 3

||''''|||''|'''||''|


7. (a) Derive the expression for work energy of a rigid body?

(b) Two blocks are connected by an inextensible string moving over a frictionless pulley as

shown in the fig.5. If the blocks are released from rest, determine the velocity of system

after a travel of 4s.Take the coefficient of friction as 0.3.

Fig-5

[8+8]

*****

Page 3 of 3

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1. (a) What is a vector quantity and scalar quantity? Write the examples.

(b) Find the resultant of the given the force system shown in the fig.1 below

Fig.1

(c) Find the centroid of sector of a circle.

(d) Define the mass moment of inertia.

(e) Derive the equation for maximum height for projectile motion

(f) Write about the work energy equation.

[4+4+4+3+4+3]

PART –B

2. (a) Block A has mass of 30kg and block B has a mass of 20kg.Knowing that the coefficient

of friction is 0.20,between the two blocks and zero between the block B and the slope,

find the magnitude of frictional force between the two masses. What is the force in the

string tying the blocks? Refer the fig.2given below. Take g= 9.81 m/s2

Fig.2

(b) Write about coplanar concurrent forces and non coplanar concurrent forces.

[12+4]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


3. (a) Explain and define the term Free Body Diagram. Draw the free body diagram of a ball of

weight W, supported by a string AB and resting against a smooth vertical wall at C and

also resting against a smooth horizontal floor at D

(b) State and prove Varignon’s theorem

[8+8]

4. (a) Derive an expressions for the centriod of semicircle about base and diametric axis.

(b) Find the centriod of the shaded area shown in fig.3.

Fig-3

[8+8]

5. (a) Find the mass Moment of Inertia of a rod.

(b) Find the moment of inertia of the plane shown in the fig.4

Fig-4

[8+8]

6. (a) Show the relation between rectangular components and normal and tangential

components of acceleration.

(b) A stone is dropped into a well with no initial velocity and after 5 sec later a splash is

heard. If the velocity of sound is 350 m/s, find the depth of the well up to water level.

[8+8]

7. (a) Derive the expression for work energy for a rigid body?

(b) State D’Alembert’s principle for a particle. How is it similar with the equilibrium

equations as obtained by Newton’s second law?

[8+8]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


ENGINEERING PHYSICS (Common to CE, ME, CSE, PCE, IT, Chem. E, Aero. E, Auto. E, Min. E, Pet. E, Metal. E)



***** PART-A

1. (a) If the air film in the Newton’s rings apparatus is replaced by an oil film, then how does the radius of the rings change? Explain.

(b) Distinguish between monochromatic and polychromatic light sources. Give one example for each.

(c) What is meant by magnetic susceptibility? How is it related to relative permeability? What is the effect of temperature on susceptibility of diamagnetic materials?

(d) Explain the critical field and critical current in case of super conductor. How are they related?

(e) What are the conditions to be satisfied by an acceptable wave function? (f) How does the Fermi level change with temperature in extrinsic semiconductors? Explain

with neat sketch. [3+4+3+4+4+4]

PART-B

2. (a) What are the necessary conditions to get clear and distinct interference fringes? (b) Explain the electronic polarisability and show that electronic polarisability for a

monochromatic gas increases as the size of the atoms become larger. (c) Mention some applications of Hall Effect.

[4+8+4] 3. (a) What is optical fiber? Explain the principle of Optical fiber. (b) Derive expressions for Acceptance angle and Numerical Aperture of an Optical fiber. (c) Describe the intrinsic conductivity in an intrinsic semiconductor.

[4+8+4] 4. (a) Explain the terms ‘Reverberation’ and ’Reverberation time’. (b) Derive Sabine’s formula for ’Reverberation time’.

[4+12] 5. (a) Differentiate between soft and hard superconductors.

(b) Derive an expression for the electrical conductivity of a material in terms of mobility of the electron using classical free electron theory.

(c) Find the relative permeability of a ferromagnetic material if field of strength 220A/m produces a magnetization of 3300A/m in it.

[4+8+4]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|

Subject Code: R13203/R13 6. (a) Define valence band, conduction band and forbidden energy gap in the energy band

structure. (b) Show that the solution of Schrodinger wave equation for a particle in an infinite potential

well leads to the concept of quantization of energy. (c) For the metal having 6.5x1028 conduction electrons per m3 find the relaxation time of

conduction electrons if the metal has resistivity 1.43x10-8Ωm.

[4+8+4] 7. (a) State and explain Hall effect. (b) Derive expression for Hall coefficient. (c) What are the advantages of optical fiber communication system?

[4+6+6] *****

Page 2 of 2

Set No - 1

||''''|||''|'''||''|





***** PART-A

1. (a) What happens to the diffraction fringes, if the slit width is reduced in single slit experiment? Explain why?

(b) If the angle of incidence of a ray is equal to the critical angle at the core – cladding interface of an optical fiber, then in which direction does the ray travel? Explain with neat sketch.

(c) What are ferromagnetic materials? Why do they exhibit spontaneous magnetization? (d) Explain the critical field in case of super conductor. At what temperature the critical field

strength required to destroy superconductivity is maximum? Why? (e) If ‘E’ is the ground state energy of the particle confined to move in a 3D potential box,

then what would be the increase in energy from second energy level to next higher energy level?

(f) Distinguish between intrinsic and extrinsic semiconductors. [3+3+4+4+4+4]

PART-B

2. (a) What is meant by Diffraction of light? Explain it on the basis of Huygen’s wave theory. (b) Explain with necessary theory, the Fraunhofer diffraction due to ‘n’ slits. (c) Write notes on Flux quantization.

[4+8+4] 3. (a) Write notes on drift and diffusion currents.

(b) Explain the formation of Newton’s rings and obtain an expression for the diameter of the dark rings in reflected system.

(c) Derive the expression for maximum number of orders possible for a plane diffraction grating.

[4+8+4] 4. (a) Explain the origin of magnetism in materials. (b) Draw and explain B-H curve for a ferromagnetic material placed in a magnetic field. (c) Find the numerical aperture and acceptance angle of a fiber of core index 1.4 and

fractional index change 0.02. [4+8+4]

5. (a) How matter waves are different from Electromagnetic waves? (b) Explain Hall effect and derive an expression for Hall coefficient. Give any two of its

applications. (c) Distinguish between soft and hard magnetic materials.

[4+8+4]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|

Subject Code: R13203/R13 6. (a) Explain the salient features of Classical free electron theory.

(b) Explain the three level and four level laser systems. What are the advantages of four level laser system over three level laser system?

(c) Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x 10-8 Ω-m, if the metal has 5.8 x 1028 conduction electrons per m3.

[4+8+4] 7. (a) Explain the terms ‘Acceptance angle’ and ‘Acceptance cone’. (b) Based on classical free electron theory, derive an expression for electrical conductivity of

metals. (c) In Newton’s rings experiment, diameter of the tenth dark ring due to wavelength 6000Å

in air is 0.5 cm. Find the radius of curvature of the lens. [4+8+4]

*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|





***** PART-A

1. (a) When white light incidents on a diffraction grating, which colored light will be diffracted more? Justify your answer.

(b) For an optical fiber of fractional index change 0.140, the refractive index of cladding is 1.3. What would be the refractive index of core?

(c) What are Superconductors? How the energy gap of superconductor varies with temperature?

(d) Define the term ‘magnetic susceptibility, Explain, with the help of graphs, how the magnetic susceptibility varies with temperature in dia, para and ferromagnetic materials.

(e) Distinguish between matter waves and electromagnetic waves. (f) What is the effect of temperature on the electrical conduction properties of conductors,

insulators and semiconductors? [3+4+3+4+4+4]

PART-B

2. (a) Distinguish between Fresnel and Fraunhoffer diffractions.

(b) Define Drift and Diffusion currents and derive the expressions for drift and diffusion current densities.

(c) Mention the applications of Josephson’s effect. [4+8+4]

3. (a) What is an optical fiber? Explain the principle of Optical fiber. (b) Explain the principle, construction and working of a Nicol prism with neat diagram. (c) Explain in detail the flux quantization in a Superconducting ring.

[4+8+4] 4. (a) Explain the important magnetic properties of ferromagnetic materials.

(b) Give the theory of plane diffraction grating. Obtain the condition for the formation nth order maximum.

(c) Find the relaxation time of conduction electrons in a metal if its resistivity is 1.54x10-8

Ωm and it has 5.8x1028 conduction electrons per cubic metre. [4+8+4]

5. (a) State and explain Stoke’s theorem in its calculus form. (b) Write notes on Rayleigh’s Criterion. (c) Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x 10-8 Ω-m,

if the metal has 5.8 x 1028 conduction electrons per m3. [6+6+4]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|

Subject Code: R13203/R13 6. (a) What are the draw backs of classical free electron theory? (b) Explain A.C. and D.C. Josephson’s effect with theory. (c) In a Hall coefficient experiment, a current of 0.25A is sent through a metal strip having

thickness 0.2mm and width 5mm. The Hall voltage is found to be 0.15mV when a magnetic field of 2000 gauss is used. What is the carrier concentration?

[4+8+4] 7. (a) Define Packing Fraction and Coordination Number. Obtain the expression for Packing

Fractions of BCC and FCC crystals. (b) Based on quantum free electron theory, derive an expression for electrical conductivity of

metals. [8+8]

*****

Page 2 of 2

Set No - 3

||''''|||''|'''||''|





***** PART-A

1. (a) For which ray Canada balsam acts as a rarer medium? Explain why? (b) Identify whether unit cells of SC, BCC and FCC lattices are primitive or not. Explain

with reason. (c) What are super electrons and how are they different from normal electrons? At what

temperature the number of super electrons is maximum in a superconductor? (d) Explain the terms ‘Reverberation’ and ‘Reverberation time’. On what factors does the

Reverberation time depend? (e) What is the most probable position for a particle in one dimensional potential box of

width ‘L’ in the first quantum state? Explain graphically. (f) Distinguish between n-type and p-type semiconductors.

[3+4+4+4+3+4] PART-B

2. (a) Derive expressions for Acceptance angle and Numerical Aperture of an Optical fiber. (b) State Brewster’s law. How can this law be used to produce plane polarized light? (c) What are the advantages of optical fiber communication system?

[8+4+4] 3. (a) Distinguish between interference and diffraction. (b) Classify the fibers on the basis of refractive index profile, modes and materials. (c) Silver has FCC structure and its atomic radius is 1.441Å. Find the spacing of (220)

planes. [4+8+4]

4. (a) Discuss in detail the electronic, ionic and orientational polarizations and their dependence on temperature.

(b) Derive Eigen values and Eigen functions for a particle in a one dimensional potential box.

[8+8] 5. (a) What are polar and non-polar dielectrics? Give examples for each.

(b) Based on classical free electron theory, derive an expression for electrical conductivity of metals.

(c) Newton’s rings are formed with sodium light in an experiment. What is the order of the dark ring, which has double the diameter of the fourth dark ring?

[4+8+4]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|

Subject Code: R13203/R13 6. (a) Explain the salient features of Classical free electron theory.

(b) Derive the expression for condition of maxima and minima for reflected light in case of thin transparent film of uniform thickness.

(c) Calculate the thickness of half wave plate of quartz for a wavelength 500nm. Here µe= 1.553 and µo= 1.544.

[4+8+4] 7. (a) Write a notes on drift and diffusion currents. (b) Deduce the expression for Lorentz field relating to a dielectric material. (c) Write notes on Flux quantization.

[4+8+4] *****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


I B. Tech II Semester Regular/Supply Examinations July - 2015

ENGLISH-II (Common to All Branches)




*****

PART-A

1.(a) Explain how Civilizations have been ‘created’ and ‘sustained’ on the banks of Rivers.

(b) Elaborate on how power from the sun’s heat is generated at a solar power plant.

(c) Why does Swami Vivekananda ask public to work without attachment?

(d) What does the author E.V.Schumacher say about the distribution of social time?

(e) Give an account of Bhabha’s view of nuclear physics?

(f) Which was the institute that was set up by Bose?

(g) Explain Abdul Kalam’s attitude towards work.

[3+3+3+3+3+3+4]

PART-B

2.(a) Write about the generation of solar energy in Spain.

(b) What is the reaction of Sambu when he saw his father’s last film?

[8+8]

3.(a) Write about Abdul Kalam’s association with Wernher von Braun?

(b) Appreciate Sarabhai’s efforts in building rocket launching station at Thumba.

[8+8]

4.(a) What according to E.K. Federov would be the consequences if we do not make correct

assessment of climatic changes?

(b) Write about soil erosion and suggest methods to prevent soil erosion.

[8+8]

5.(a) ‘Technology reduces some kind of work, while it increases other kinds’- Elaborate the

view of E.V .Schumacher.

(b) Write a letter to a company applying for the post of Junior Engineer. Enclose your

‘Resume’

[8+8]

6.(a) What is ‘Note Making’? Explain.

(b) Write the synonyms of the following:

(i) severe (ii) assert (iii) boundless (iv) prevail

(c) Write the antonyms of the following:

(i) disappear (ii) sharp (iii) obvious (iv) homogenous

(d) Write one word substitutes of the following.

(i) that which will never be finished.

(ii) a person who is fond of delicious food.

(iii) an ancient piece of art.

(iv) one who collects stamps.

[4+4+4+4]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


7.(a) Fill in the blanks with suitable verb forms:

(i) The thief ----------------- by the police. (catch)

(ii) I --------------- here for four months.(live)

(iii) I wish my brother ----------- here.(be)

(iv) He ----------- tea every morning.(drink)

(b) Correct the following sentences:

(i) When we reached the station the train left.

(ii) I had gone to Delhi last month.

(iii) The earth is moving round the sun.

(iv) She is awaiting for them.

(c) Rewrite as directed:

(i) The Taj is an historical monument. (change to Interrogative)

(ii) Would you mind closing the door (identify the type of sentence)

(iii) She has painted a nice picture. (Change the voice)

(iv) The deer was eating the grass. (Change the voice)

(v) ‘You have to attend the class tomorrow’ the teacher said to me. (change to indirect

speech)

(vi) She said that she is working on a new venture. (change to direct speech)

(vii) The children are playing in spite of the rain. (convert into a complex sentence)

(viii) Though he was weak, he attended his duty. (Change in to a compound

sentence)

[4+4+8]

*****

Page 2 of 2

Set No - 1

||''''|||''|'''||''|







*****

PART-A

1.(a) How does Wernher von Braun assess the attitude of Americans?

(b) Why does C.V.Raman say that collection and storage of water is important?

(c) What are the factors that cause change of climate?

(d) What provision is made for the Sol’ucar plant for rainy or cloudy weather?

(e) Narrate J.C. Bose’s experiences of travelling.

(f) Narrate Bhabha’s educational ventures after he had left the school.

(g) How does Swami Vivekananda describe good and evil ones?

[3+3+3+3+3+3+4]

PART-B

2.(a) How does “the state of being in flow” help Abdul Kalam and his SLV-3 team achieve

success?

(b) Give an account of Bose’s early life and education.

[8+8]

3.(a) “Water is both common and uncommon of liquids” – Justify the statement.

(b) Write about Sarabhai’s work relating to atomic energy.

[8+8]

4.(a) Elaborate the ideas expressed by Swami Vivekananda in the lesson ‘The secret of work’.

(b) Present the contrast in the reactions of Sambu and his mother when they saw the film.

[8+8]

5.(a) How does development activities affect climatic changes?

(b) Write an e-mail message to the students of your university inviting them to attend the

fresher’s day celebrations. Inform the date, venue and time.

[8+8]

6.(a) Describe your university library.


(i) appease (ii) perseverance (iii) conviction (iv) hostile


(i) abundant (ii) conventional (iii) enable (iv) exclusive

(d) Select the suitable word for the following:

(i) The boy was -------------- by his parents. (pampered, hampered)

(ii) He was --------- by his partner (deceived, decieved)

(iii) The ---------------- in the magazine was interesting (article,artical)

(iv) Mr. Siva Sankar is the --------------------- of our committee. (precedent, president)

[4+4+4+4]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


7.(a) Fill in the blanks with suitable verb forms.

(i) She -------------- vegetables yesterday. (purchase)

(ii) He ------------- to temple everyday. (go)

(iii) It ------------- since morning. (rain)

(iv) The chief guest ------------- shortly (arrive)


(i) She returned back my book.

(ii) The cat jumped from the wall.

(iii) saves nine in time a stitch.

(iv) The money was distributed among the two brothers.


(i) She is reading a book. (Change to interrogative)

(ii) India is a great country (identify the type of sentence)

(iii) Ram asked ‘when will the train arrive’ (change to indirect speech)

(iv) She says that she doesn’t want to eat anything that day (change to direct speech)

(v) Sha has cooked dinner. (change the voice)

(vi) Tha door was opened by the servant (change the voice)

(vii) Ram is honest and kind. (make a complex sentence)

(viii) Though he is innocent, the police arrested him. (change into a compound)

[4+4+8]

*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|







*****

PART-A

1.(a) Write about variations in water balance due to climatic changes.

(b) ‘Harnessing of our rivers turn vast areas into fertile lands’-Explain.

(c) What does E.V.Schumacher mean when he says that he wants a technology with a human

face?

(d) Expalin the process called ‘concentrating solar power’ (CSP).

(e) Describe how Bhabha’s interaction with the West influenced his work.

(f) In which fields of study was J.C. Bose interested in?

(g) ‘Good impressions should prevail in order to make character good’- Elaborate

[3+3+3+3+3+3+4]

PART-B

2.(a) Discuss the changes occurred due to the development of technology in the light of the

lesson “Technology with human face”

(b) Why did Sambu try to convince his friend to see the film?

[8+8]

3.(a) Does Abdul Kalam like the term ‘workaholic”? Why?

(b) Space exploration gives immense benefit to a country like India --- justify.

[8+8]

4.(a) Why does Spain figure among the top countries in the world that use solar power?

(b) What are the factors that cause the climate to change over long periods of time?

[8+8]

5.(a) ‘Expecting a return’ would hinder spiritual progress – Explain Vivekananda’s views.

(b) Assume yourself as a sales person of ‘Almond cosmetics’ and Prepare a presentation

explaining the quality and range of the products.

[8+8]

6.(a) Mention some guide lines to give an effective description of an object/machine/place.


(i) motive (ii) adopt (iii) prevail (iv) interrogate

(c) Give the antonyms of the following:

(i) joyous (ii) reversible (iii) mandatory (iv) liberal

(d) Write one word substitutes for the following:

(i) the act of giving up weapons

(ii) an involuntary reaction

(iii) people who are the first to do or achieve something

(iv) certain to happen

[4+4+4+4]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|



(i) The plane -------------- at 4 p.m. (arrive)

(ii) Raj ------------- (write) letters, when I ----------- to see him. (go)

(iii) I----------- this book tomorrow. (return)

(b) Correct the following sentences.

(i) I and Ram are working in the same office.

(ii) He worked very hardly to get good marks in the exam.

(iii) Each of the girls get a gift.

(iv) She has been suffering from fever for last week.


(i) Will you accept the proposal?. (identify the type of sentence)

(ii) Rahul is going to build a new house. (change to interrogative sentence)

(iii) He went to the forest. He wanted to hunt the lion. (combine the sentence)

(iv) He fought for the country, therefore, he won the reward. (Change into complex

sentence)

(v) I am watching the game. (Change the voice)

(vi) Who taught you French? (Change the voice)

(vii) She says that she is not interested in cricket. (Change to direct speech)

(viii) “Oh! I hurt myself with the bat”, the boy said. (change into indirect speech)

[4+4+8]

*****

Page 2 of 2

Set No - 3

||''''|||''|'''||''|







*****

PART-A

1.(a) ‘The modern industrial society is not romantic and certainly not utopian’- Explain the

statement.

(b) How does E.K.Federov define the characteristics of atmosphere?

(c) What is the purpose of the mirrors from the road to the Solu’car plant outside Selville?

(d) Why does Abdul Kalam say that a team must have single minded devotion to reach the

goal?

(e) Write briefly about J.C. Bose’s experiments.

(f) Give an account of Sambu’s feelings while watching his father’s film?

(g) ‘Though staying in a sinful city one can be untouched by sin’ Justify Swami

Vivekananda’s view.

[3+3+3+3+3+3+4]

PART-B

2 (a) Justify the title ‘Water the Elixir of life’.

(b) Write about Vikram Sarabhai’s achievements.

[8+8]

3.(a) Give the details of Schumacher’s analysis about the distribution of social time.

(b) What was the contribution of Homi Bhabha in extending atomic energy network?

[8+8]

4.(a) What made Kalam think about the similarities between Vikram Sarabhai and Wernher

von Braun?

(b) How do tendencies towards doing good or bad deeds develop in a human being?

Elaborate Swami Vivekananda’s observations.

[8+8]

5.(a) Write about

(i) Concentrating Solar Power

(ii) Explain how Southern Spain provides an ideal landscape for solar thermal power.

(b) Prepare a presentation on paper about a coffee making machine. Explain to your

customers about its working process, uses, quality etc... (with the help of 5 to 6 slides).

[8+8]

6.(a) Write about ‘telecommunication’.


(i) conception (ii) redundant (iii) simultaneous (iv) devastate


(i) vivid (ii) sufficient (iii) pessimism (iv) recede

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


6.(d) Supply the suitable word for the following:

(i) Her ------------------ of the words is correct. (pronunciation, pronounciation)

(ii) His friend is --------------- of his position. (zealous, jealous)

(iii) The ---------- part of the building is covered by the creepers.(rare, rear)

(iv) The student --------------- the prize from the chief guest. (received, recieved)

[4+4+4+4]


(i) He ------------------ a car recently. (purchase)

(ii) The minister-------------- the slums tomorrow. (visit)

(iii) By the time we ------------- (reach) the station, the train ------------- (leave).


(i) This winter is coolest of all times.

(ii) This box is too heavy that I can’t lift it.

(iii) He is an university student.

(iv) The price of vegetables are high.

(c) Rewrite as directed.

(i) The government declared tax benefits. (identify the type of sentence)

(ii) Honesty is the best policy. (change to interrogative)

(iii) He prepared a perfect plan to finish the work soon. (change the voice)

(iv) They made some changes in the list. (change the voice)

(v) ‘I saw a white lion in the zoo’, the boy said. (change to indirect speech)

(vi) She said that she had sent the mail a week ago. (change to direct speech)

(vii) She completed her home work. She went out to play (combine the sentences).

(viii) It was raining so I couldn’t go to school. (convert into a complex sentence)

[4+4+8]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


MATHEMATICS-II (MATHEMATICAL METHODS) (Common to CE, ME, CSE, PCE, IT, Chem E, Aero E, Auto E, Min E, Pet E, Metal E)




*****

PART-A

1.(a) Define Rate of convergence and what is the rate of convergence of bisection and

iteration methods

(b) Find ∆f(x) if 2 1

( )( 1)

xf x

x x

+=

+ by taking h =1

(c) Write the merits and demerits of Taylor’s Method

(d) Find the Fourier series of f(x) = sinax in (-π, π)

(e) Find the Fourier cosine transform of f(x) = 1 in (0, 2)

(f) Find 2

1

21

zZ

z

−

+

[3+4+3+4+4+4]

PART-B

2.(a) Find the real root of 10log 2 0x x+ − = using Newton Raphson method

(b) Find the positive root of the equation x3-9x +1= 0 by Bisection Method

[8+8]

3.(a) Compute y1(4) from following table

(b) Find by Gauss’s Backward interpolating formula the value of y at x =1936, using the

following table:

x 1901 1911 1921 1931 1941 1951

y 12 15 20 27 39 52

[8+8]

4.(a) Find y(2) and y(3) by Picard’s method given that 2 , (1) 3.dy

x y ydx

= − =

(b) Using Modified Euler’s method of fourth order evaluate y(0.1) and y(0.2) given that

1 , (0) 1y x y y= + = .

[8+8]

Page 1 of 2

X 1 2 4 8 10

Y 0 1 5 21 27

Set No - 1

||''''|||''|'''||''|


5.(a) Obtain the Fourier series for the function f(x) given by ( );

( )( );0

x x xf x

x x x

π π π

π π

− + − ≤ ≤=

+ ≤ ≤

(b) Obtain the Fourier series expansion of f(x) given that 2( ) ( )f x xπ= − in 0 2x π< < and

Deduce the value of 2

2 2 2

1 1 1

1 2 3 6

π+ + + − − − − − − −− = .

[8+8]

6.(a) Find the Fourier cosine transform of

cos( )

0

x if x af x

if x a

<=

>

(b) Find the finite Fourier sine and cosine transforms of

( ) axf x e−= in (0,

[8+8]

7.(a) Find 1

3 2

2

1

zZ

z z z

−

− + −

(b) If 2

4

5 3 12( )

( 1)

z zF z

z

+ +=

−; then find the values of f(2) and f(3)

[8+8]

*****

Page 2 of 2

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(a) Write the working rule to find the root of the equation by bisection method

(b) Evaluate the expression (1 )(1 )+ ∆ − ∇

(c) Write the merits and demerits of Euler’s Method

(d) Find the Fourier series of f(x) = cosax in (-L, L)

(e) Find the Fourier sine transform of f(x) = 1 in (0,π)

(f) Find 2

1

( )( )

zZ

z a z b

−

− − using convolution theorem

[3+4+3+4+4+4]

PART-B

2.(a) Find the positive root of the equation x3-5x-7=0 by False position method

(b) Find the positive root of the equation ex-3x = 0 by Newton Raphson method

[8+8]

3.(a) Find f(2.5) from the following table

(b) Using Lagrange’s formula, calculate 3 from the table:

[8+8]

4.(a) Using Taylor’s series method: Solve , 0 1 0.1, 0.2, 0.3

(b) Solve: , 0 2 , 0.2 find y (0.2), using R- K method.

[8+8]

5.(a) Develop the Fourier series of 2; 2 0

( );0 2

xf x

x x

− ≤ ≤=

≤ ≤

(b) If ( ) cosf x x= ; Expand f(x) as a Fourier series in the interval (-π, π)

[8+8]

Page 1 of 2

x 1.6 1.8 2.0 2.2 2.4 2.6

y 4.95 6.05 7.39 9.03 11.02 13.46

0 1 2 4 5 6

1 14 15 5 6 19

Set No - 2

||''''|||''|'''||''|


6.(a) Find Fourier Sine transform ( )2

1( )

1f x

x=

+

(b) Express the function

0; 0

1( ) ; 0

2

;x

x

f x x

e x o−

<

= =

>

as a Fourier integral.

[8+8]

7.(a) Solve the difference equation 2 1 0 12 3 5 1, 4.n n n

y y y n if y y+ +

− + = + = = −

by Z –transforms

(b) Find the Z- transform of the following ( 2) ani n e− (ii) 2( 1)n + (iii) sin( )na nt [8+8]

*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) Write the working rule to find the root of the equation by Newton Raphson method

(b) Find 2

3x

E

∆

(c) Write the working rule to solve the 1

0 0( , ) ( )y f x y y x y= = by Picard’s method

(d) Find the half range sine series of f(x) = 2x in (0, L)

(e) Find the Fourier transform of f(x) = 1 in (-1, 1)

(f) Find [ ]sin( 1)Z n θ+ using shifting theorem

[3+4+3+4+4+4]

PART-B

2.(a) Find the root of the equation: 2 5 by iteration method.

(b) Find the real root for 2xxe = by using Regula – Falsi method.

[8+8]

3.(a) Using Lagrange’s formula fit a polynomial to the following data

x 0 1 4 5

y 4 3 24 39

(b) Estimate f(1.75) from the following table using Newton forward interpolation formula

[8+8]

4.(a) Using Runge Kutta method of fourth order evaluate y(0.1) and y(0.2) given that

1 , (0) 1y x y y= + = (b) Apply Taylor series methods to find y(1.1), y(1.2) correct to 3 decimal places, given

1/3dyxy

dx= , y(0)=1.

[8+8]

Page 1 of 2

x 1.7 1.8 1.9 2.0

y 5.474 6.050 6.686 7.389

Set No - 3

||''''|||''|'''||''|


5.(a) Obtain the Fourier series of f(x) = 1 cos x− in (-π, π)

(b) Expand

1;0 1 / 2

4( )

3;1 / 2 1

4

x x

f x

x x

− ≤ ≤

= − ≤ ≤

as a Fourier series of sine terms.

[8+8]

6.(a) Find Fourier transform of ( )a x

f x e−

= ( a>0) and hence show that

2 2

0

cos( )

2

a xsxds e

a s a

π∞

−=

+∫

(b) Find the finite Fourier cosine transform of 2

) ( ) ,2 6

xi f x

π

π= − 0≤x≤π ) ( ) ,0 4ii f x x x= < <

[8+8]

7.(a) Using Z- Transform solve 1 12n n ny y y n+ +

+ + = ; Given that y0=y1=0;

(b) Using 2

2

3( )

( 1)

z zZ n

z

+=

− prove that

3 22

3(( 1) )

( 1)

z zZ n

z

++ =

− [8+8]

*****

Page 2 of 2

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(a) What is mean by quadratic convergence and derive the convergence condition for

Newton Rapson method.

(b) Find ∆f(x) if f(x) = 2

1( )

( 5 6)f x

x x=

+ + by taking h =1

(c) Write the working rule to solve the 1

0 0( , ) ( )y f x y y x y= = by RK method of third order

(d) Find the half range cosine series of f(x) = x in (0, π)

(e) Find the Finite Fourier cosine transform of f(x) = 1 in (0, π)

(f) Find [ ]cos( 1)Z n θ+ using shifting theorem

[4+4+3+4+3+4]

PART-B

2.(a) Evaluate 1

1212

and by the fixed point iteration method.

(b) Find a root correct to 3decimal places for the equation 3 4 9 0x x− + = using Bisection

method

[8+8]

3.(a) Certain values of x and 10logx are (300,2.4771),(304,2.4829),(305,2.4843),(307,2.4871).

Find 301

10log

(b) Using Lagrange’s Interpolation formula evaluate y(6).

x 3 5 7 9 11

y 6 24 58 108 74

[8+8]

4.(a) Given 2dy

xydx

− = and y(1)=1 .Find the value of y(1.5) in steps of 0.25 using Euler’s

modified method.

(b) Use Runge-Kutta method to solve 10yyxydx

dy 2=+= )(, for y(0.1) and y(0.2).

[8+8]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


5.(a) Obtain Fourier series for the function f(x) given by

21 , 0

( )2

1 ,0

xx

f xx

x

ππ

ππ

+ − ≤ ≤

= − ≤ ≤

and deduce that2

2 2 2

1 1 1.............

1 3 5 8

π+ + + =

(b) If ;0 / 2

( ); / 2

x xf x

x x

π

π π π

< <=

− < <

Show that 2 2 2

2 1 1 1( ) cos2 cos6 cos10

4 1 3 5f x x x x

π

π

= − + + + − − − − − − −

[8+8]

6.(a) Show that the Fourier transform of,

( )0,

a x for x af x

for x a

− <=

> is

2

2 1 cosas

sπ

−

Hence deduce that

2

0

sin

2

t

t

π∞

= ∫

(b) Find the finite Fourier sine transform of f(x) defined by

2

( ) 1x

f xπ

= −

where 0<x<π

[8+8]

7.(a) Solve the difference equation 2 1 0 12 2 2, 1.

n

n n ny y y if y y+ +

− + = = = by Z –transforms

(b) Find 3

1

2( 3)( 1)

zZ

z z

−

− + using the convolution theorem.

[8+8]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|



MATHEMATICS-III (Common to All Branches)




*****

PART-A

1.(a) Find for what values of ‘a’ the equations, x + y + z =1, x + 2y + 4z =a and

x + 4y + 10z= a2 have a solution.

(b) Find the moment of inertia about the initial line of the cardioids r = a(1+cosө).

(c) What is the nature of the quadratic form XTAX, if A=

113

151

311

.

(d) Evaluate ∫−

1

051 x

xdx.

(e) If satisfies Laplace equation, show that φ∇ is both solenoidal and irrotational.

(f) Use Greens theorem to evaluate ∫ ++−c

dyyxdxxxy )()2( 222, where c is the closed

curve of the region bounded by y=x2 and y

2=x.

[3+4+4+4+3+4]

PART-B

2.(a) Solve the system of equations 33114,20238 =−+=+− zyxzyx and

361236 =++ zyx using Gauss-Seidel method.

(b) Reduce the matrix A to normal form and hence find the rank of the matrix

A= .

61152

5732

1430

4312

[8+8]

3.(a) Find Eigen values and Eigen vectors of .

312

132

226

−

−−

−

(b) Reduce the Quadratic form to canonical form by orthogonal reduction and state the

nature of the quadratic form zxyzxyzyx 222222 222 −−−++ .

[8+8]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


4.(a) Find surface area of the right circular cone generated by the revolution of right angled

triangle about a side which contains a right angle.

(b) Evaluate ∫ ∫−

−

a xa

xa

ydxdy0

22

by changing the order of integration.

[8+8]

5.(a) Evaluate dxexx

∫∞

−

0

22

.

(b) Express dxc

xx

c

∫∞

0

, ( )1>c in terms of Gamma function.

[8+8]

6.(a) Find the directional derivative of the function 32

yzxy +=φ at (2,-1,1) in the direction of

normal to the surface 04log 2 =+− yzx at (-1,2,1).

(b) Show that 3

_

r

r is solenoidal, where

+

++= kzjyixr___

.

[8+8]

7.(a) If _

2___

kxjzixyF +−= and C is the curve ,2,2tytx == and 3

tz = from t=0 to t=1, find

the work done by _

F .

(b) Use divergence theorem to evaluate ∫∫ ⋅S

dSF where _

2_

2__

24 kzjyixF +−=

and S is the surface bounded by the region x2 +y

2 =4, z=0 and z=3.

[8+8]

*****

Page 2 of 2

Set No - 1

||''''|||''|'''||''|







*****

PART-A

1.(a) Find the value of ‘a’ for which the system of equations 3x-y+ 4z =3; x+2y -3z =-2 and

6x+5y +az = - 3 will have infinite number of solutions.

(b) If 2, 3, 5 are the eigenvalues of matrix A, then find the eigenvalues of 2A3+3 A

2 +5A +3I.

(c) Find the moment of inertia about the initial line of the cardioid r = a(1- cosө).

(d) Evaluate ∫−

1

05

3

1dx

x

xin terms of Beta functions.

(e) Find the angle between the surfaces 2z 9 and 322 −+= yxz at the point

(2,-1, 2).

(f) Evaluate ∫ −+c

xdzydydxe )2( where c is the curve is the curve 922 =+ yx , z=2, by

using Stoke’s theorem.

[3+3+4+4+4+4]

PART- B

2.(a) Solve the equations 332,323 −=−−=++ zyxzyx and 42 =++ zyx using Gauss

elimination method.


A= .

2121

3011

2024

6022

−

−

−

[8+8]

3.(a) Find 1−A using Cayley-Hamilton theorem , where .

653

542

321

=A

(b) Reduce the Quadratic form yzzyx 233 222 −++ into canonical form and find the nature,

rank, index and signature.

[8+8]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


4.(a) Find the surface area generated by the revolution of an arc of the catenary c

xcy cosh=

about x -axis.

(b) Change the order of integration and evaluate ( )∫ ∫ +a a

x

dydxyx0

22 .

[8+8]

5.(a) Prove that π

π=−ΓΓ

nn1n

sin)()(

(b) Express ∫ −1

0

)1( pnm xx in terms of Γ function.

[8+8]

6.(a) Find the directional derivative of r

1 in the direction of

+

++= kzjyixr___

at (1,1,2).

(b) If _

A is irrotational, evaluate ( )rAdiv × where kzjyixr ++= .

[8+8]

7.(a) Find the work done by the force kyjxiz ++ , if it moves a particle along the arc of the

curve ktjtitr −+= sincos from 0=t to π2 .

(b) Compute ∫ ++ dsczbyax )( 222 over the surface of the sphere 1222 =++ zyx .

[8+8]

*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|







*****

PART-A

1.(a) Find for what values of ‘a’ such that the rank of the matrix A is 2, where

−−

−

=

1

1

1

013

11

111

aA .

(b) Prove that the Eigen values of a Skew-Hermitian matrix are either purely imaginary or

zero.

(c) Find the length of the curve 323 yx = between y=0 and y=1.

(d) Evaluate ∫ −

1

0

3/13 )1( x

dx using Beta functions.

(e) Find div F , where .rrFn= Find n if it is solenoidal.

(f) Using Stoke’s theorem, evaluate the integral ∫ ⋅c

drF , where

kzxjxiyF )2(32 22 +−+= and c is the boundary of the triangle whose

vertices are (0,0,0) ,(2,0,0) and (2,2,0).

[3+3+4+4+4+4]

PART- B

2.(a) Using Gauss-Jordon method solve the system of equations

18323,102 =++=++ zyxzyx and 1694 =++ zyx .


A= .

61152

5732

1430

4312

[8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


3.(a) Find 1−A by using Cayley-Hamilton theorem, where .

122

212

121

−

−

−

=A

(b) Reduce the Quadratic form to canonical form by orthogonal reduction and state the

nature of the quadratic form zxyzxyzyx 222222 222 −−−++ .

[8+8]

4.(a) Find the volume obtained by revolving the loop of the curve 3

,3

3 ttytx −== about x-

axis.

(b) Change the order of integration and evaluate ∫ ∫−1

0

1

0

2

2x

dydxy .

[8+8]

5.(a) Evaluate dxx

x∫

−

1

05

2

1 using β and Γ function.

(b) Show that

+Γ=

+

∞

−

∫ n

m

na

dxex

n

m

axmn 11

1

0

.

[8+8]

6.(a) Find the directional derivative of 222 42 zyx +− at (1,1,-1) in the direction of kji −+2

(b) Find cba ,, so that ( ) ( ) ( )kzyxjzybxiazyxA 2432 +++−−+++= is irrotational.

Also find φ such that φ∇=A .

[8+8]

7.(a) Compute the line integral ∫ − )( 22dyxdxy round the triangle whose vertices are (1,0),

(0,1) and (-1,0).

(b) Use divergence theorem to evaluate ∫∫ ⋅S

SdF where kzjyixF333 ++= and S is

surface of the sphere 2222

rzyx =++ .

[8+8]

*****

Page 2 of 2

Set No - 3

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*****

PART-A

1.(a) Find the values of ‘a’ and ‘b’ for which equation

bz3ayx6z2y2x3zyx =++=++=++ ;; have unique solution.

(b) Prove that the eigenvalues of a Skew-Hermitian matrix are either purely imaginary or

zero.

(c) Find the moment of inertia about the initial line of the cardioid r = a(1+cosө).

(d) Evaluate ∫−

1

05

3

1dx

x

xin terms of Beta functions.

(e) Find the directional derivative of 2zxy2 + at (1, -1, 3) in the direction of k3j2i ++

(f) Using Stoke’s theorem, evaluate ∫ ⋅c

drF , where kzxjxiyF )2(32 22 +−+= and c is the

boundary of the triangle whose vertices are (0,0,0) ,(1,0,0) and (1,1,0).

[3+3+4+4+4+4]

PART- B

2.(a) Solve the system of equations using Gauss-Seidel method correct to three decimal place

33114,20238 =−+=+− zyxzyx and 361236 =++ zyx .


A = .

−− 1348

13748

3124

5312

[8+8]

3.(a) Find Eigen values and Eigen vectors of .

312

132

226

−

−−

−

(b) Reduce the Quadratic form yz6xz10xy4z5y2x10 222 +−−++ into canonical form and

find the nature, rank, index and signature.

[8+8]

Page 1 of 2

Set No - 4

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4.(a) Find the volume of the solid of revolution generated by the revolution of the cissoid

xa

xy

−=

2

32

about its asymptote.

(b) Change the order of integration and evaluate dydxxy

a xa

a

x

∫ ∫−

0

2

2

2

.

[8+8]

5.(a) Evaluate ( ) ( )∫ −−7

5

3675 dxxx using β and Γ functions.

(b) Express ∫−

1

0 1 nx

dx in terms of Γ function.

[8+8]

6.(a) If Prove that 43

31

rrr =

∇⋅∇ , where

222 zyxr ++= .

(b) Find the directional derivative of 222 42 zyx +− at (1, 1,-1) in the direction of kji −+2 .

[8+8]

7.(a) If jzyixxyF )42()65( 2 −+−= , evaluate ∫ ⋅c

drF along the curve c: y=x3 from

(1,1) to (2,8).

(b) Apply Stoke’s theorem to evaluate ∫ ++c

xdzzdyydx )( where c is the curve of

intersection of the sphere 2222

azyx =++ and x+z = a.

[8+8]

*****

Page 2 of 2

Set No - 4

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NETWORK ANALYSIS (Common to ECE, EIE, E Com.E Branches)




*****

PART-A

1.(a) Define electric charge and electric current and write the relationship between these two.

(b) A series R-L circuit have R=20 ohms and L=0.3 H. What is the value of admittance,

conductance and susceptance? Assume frequency as 50 Hz.

(c) Give the reasons why series resonance circuit is known as voltage resonance circuit and

parallel resonance circuit is known as current resonance circuit.

(d) State Thevenin’s theorem and what are its limitations.

(e) Give symmetry and reciprocity condition of z-parameters and inverse transmission

parameters.

(f) What is time constant? Give the formula of time constant for R-L and R-C circuits.

[3+4+4+4+4+3]

PART-B

2.(a) Show that the equivalent capacitance of N parallel-connected capacitors is the sum of the

individual capacitance.

(b) Find the average and effective values of saw-tooth wave form shown in Figure 2b?

[7+9]

3.(a) Find the impedance and voltage across resistor and inductor, if a resistor of 1kΩ and an

inductor of 110 mH are connected in series to a source of 11 V, 10 kHz? Also find the

power factor and power dissipated in the circuit.

(b) Prove that the average power consumed by a pure inductor is zero.

[9+7]

4.(a) An inductive coil having a resistance of 20 ohm and inductance of 0.02H is connected in

series with 0.02 µF capacitor. Calculate (i) quality factor of the coil (ii) Resonant

frequency and (iii) the half-power frequencies.

(b) The self Inductance of one of the mutually coupled coils is 300mH and the mutual

inductance between them is 100mH. Determine: (i) Self inductance of the other coil and

(ii) turns ratio. Assume a co-efficient of coupling equal to 0.7.

[8+8]

Page 1 of 2

55 V

V

0 2 4 6

t

Figure 2b

Set No - 1

||''''|||''|'''||''|


5. Find the Thevenin’s and Norton’s equivalent circuits for the network shown in Figure 3.

[16]

6.(a) Why h-parameters are called as hybrid parameters?

(b) Obtain the condition for a given network to be reciprocal as well as symmetrical network

in terms of h-parameters?

(c) Obtain the z-parameters of the network shown in Figure 6.

[3+6+7]

7.(a) Derive an expression for the current in an RL circuit excited by a unit step voltage.

(b) A series RLC circuit with R=10 ohms, L=0.1 henries and C=20 microfarads has a

constant voltage of 100 V applied at time t=0. Determine the transient current i(t) using

Laplace transform techniques. Assume zero initial conditions.

[8+8]

*****

Page 2 of 2

50V

+ -

2Ω

ia

4Ω 5A

10 ia

+

-

a

b

Figure 3

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(a) What are the properties of incidence matrix.

(b) Define active power, reactive power, apparent power, power factor and give their

expressions.

(c) Define self-inductance, mutual inductance and co-efficient of coupling.

(d) State superposition theorem and what are its limitations.

(e) Give symmetry and reciprocity condition of z, y and transmission parameters.

(f) In the circuit of Figure 1(f), switch S1 has been closed for a long time while switch S2 has

been open for a long time. At t=0, switch opens S1 and switch S2 closes. What is the value

of voltage Vc(t) for all t>0.

[3+4+3+4+4+4]

PART-B

2.(a) Explain in detail about the tie set schedule with an example?

(b) For the circuit shown in Figure 2(b), (i) use nodal analysis to find the power supplied by

the 3A source (ii) transform the voltage source into current source and use nodal analysis

to find the power supplied by the new ideal current source.

[8+8]

3.(a) Three impedances Z1=(5+j5)Ω, Z2=(-j8)Ω and Z3=4Ω are connected in series to an

unknown voltage source V. Find I and V if the voltage drops across Z3 is

V045.182.63 ∠ .

(b) A 200 V, 50 Hz, inductive circuit takes a current of 10A, lagging 30 degree. Find:

(i) the resistance (ii) reactance (iii) inductance of the coil

[8+8]

Page 1 of 2

Figure 1(f)

20 µF

50 kΩ

+

-Vc(t)

+

-

S1 50 kΩ

t=0 10 V S2

t=0

Figure 2(b)

4 Ω

2 Ω

3 A 36 V

Set No - 2

||''''|||''|'''||''|


4.(a) Explain the dot rules in magnetically coupled circuits.

(b) A series RLC circuit has R = 17 ohms, L = 38mH, C = 45µF. Calculate the resonant

frequency and under resonance condition. Calculate current, power and voltage drops

across various elements, if the applied voltage is 60V?

[6+10]

5.(a) State and explain substitution theorem

(b) Find R in the Figure 5 so that maximum power is transferred to the resistance R.

[8+8]

6.(a) Derive the relationship between admittance and hybrid parameters.

(b) Obtain the transmission parameters of the network shown in figure 6.

[8+8]

7.(a) For R - L - C series circuit with R = 10Ω, L = 0.2 H, C = 50 µF, determine the current i(t)

when the switch is closed at t = 0. Applied voltage is V(t) = 100 cos(1000 t + 600).

(b) Derive the expression for voltage across C of a parallel R-C circuit when excited by a

sinusoidal current source at t=0.

[8+8]

*****

Page 2 of 2

+

V2

-

+

V1

-

2 Ω 2 Ω I1 I2

1 Ω 2 Ω

Figure 6

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) Define planar graph and non-planar graph and write the difference between them.

(b) Express impedance of R-L, R-C, R-L-C series circuits in rectangular and polar forms at a

constant frequency.

(c) Write the dot rules for mutually coupled circuit.

(d) State maximum power theorem and what are its limitations.

(e) Give symmetry and reciprocity condition of h-parameters and transmission parameters.

(f) In the circuit of Figure 1(f), switch S1 has been closed for a long time while switch S2 has

been open for a long time. At t=0, switch opens S1 and switch S2 closes. What is the value

of current IL(t) for all t=+∞.

[3+4+4+3+4+4]

PART-B

2.(a) Write a note on phasor representation of sinusoidal waves.

(b) Explain the duality with an example.

(c) For the circuit shown in Figure 2(c), use nodal analysis to find the power supplied by 7A

source (i) if R=4 ohms (ii) if R is infinite

[4+4+8]

3.(a) A RLC series circuit consists of resistance 75 Ω, inductance 125 mH and capacitance of

200 µF. The circuit is excited by a sinusoidal voltage of 115V, 50Hz, single phase source.

Determine the current, voltage across each element, power consumed in each element.

Draw the phasor diagram.

(b) Prove that the average power consumed by a pure capacitor is zero.

[9+7]

Page 1 of 2

Figure 1(f)

0.1H 5Ω

IL(t)

S1

5Ω

t=0 2A

S2

t=0

1A

7A

3A

R

5Ω

2Ω

1Ω

Figure 2(c)

Set No - 3

||''''|||''|'''||''|


4.(a) Explain in detail about the concept of resonance in series RLC circuit. Derive the

expression for resonant frequency?

(b) Derive the expression for coefficient of coupling between the two coupled coils?

[9+7]

5.(a) State Superposition Theorem. Using superposition theorem find v0 in Figure 5.

(b) State and explain reciprocity theorem. .

[9+7]

6.(a) The following test observations were recorded on a two-port network in a laboratory:

Port 1-11

on open circuit Port 2-21

on short circuit

V1 = 25mV V1 = 15mV

V2 = 40mV I1 = 15µA

I2 = 10µA I2 = - 5µA

Determine the hybrid parameters of the network from the test data. Compute the open-

circuit impedance parameters and verify the result.

(b) Derive Z – parameters as a function of ABCD parameters.

[8+8]

7.(a) Explain how the initial conditions are evaluated for the transient networks?

(b) A series R-C circuit shown in Figure 7b, with R = 105 Ω, C = 2.5µF has a sinusoidal

voltage as source V = 250 sin (500t). Find the current assuming that there is no initial

charge on the capacitor? Assume switch S is closed at t=0.

[7+9]

*****

Page 2 of 2

5 kΩ

20 kΩ +

-

7 mA iβ

5 iβ

v0

Figure 5

-

Figure 7b

105 Ω

S +

250 sin 500t 2.5µF

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(a) Define electric energy and electric potential.

(b) Draw the impedance and admittance triangles of R-L and R-L-C series circuits.

(c) What are the differences between series and parallel resonance?

(d) State reciprocity, compensation and substitution theorem.

(e) Give the symmetry and reciprocity condition of y-parameters and inverse hybrid

parameters.

(f) For the circuit of Figure 1(f), it is known that Vc(0)=V0=25 V. To what value should the

resistor R be adjusted so that the initial rate of change would be -200 V/s?

[3+4+3+4+4+4]

PART-B

2.(a) Find the average value, RMS value and form factor of a sinusoidal wave.

(b) Find the current I in the figure 2(b).

[8+8]

3.(a) An RL series circuit of R = 4.7 kΩ and L = 1 H is connected across a voltage source of

150 V, 50 Hz. Determine impedance, power factor, current flowing in the circuit? What

is the power dissipated in the circuit.

(b) A Capacitor of capacitance 79.5µF is connected in series with a non inductive resistance

of 30 Ω across a 100V, 50Hz supply. Find: (i) impedance; (ii) current; (iii) phase angle.

[8+8]

Page 1 of 2

Figure 1(f)

10 µF Vc(t) +

-

R

+ - + -

4 A

1Ω 1Ω 1Ω

1Ω 1Ω 1Ω 3 V 2 V

I

Figure 2(b)

Set No - 4

||''''|||''|'''||''|


4.(a) Define Q-factor and derive expressions for Q-factor and bandwidth of series resonant

circuits.

(b) Show that the resonant frequency is the geometric mean of two half power frequencies.

(c) Discuss the properties of anti resonance circuits.

[6+7+3]

5.(a) State and explain the Millman's theorem.

(b) Find current in the 6Ω resistor using Superposition theorem for the network shown in

Figure 5.

[8+8]

6.(a) Find the Z-parameters of the two-port network shown in Figure 6a.

(b) Derive the relationship between transmission and hybrid parameters.

[8+8]

7. A sinusoidal voltage V(t) = Vm sin(ωt+θ) is applied to a R-L circuit at time t = 0. Find

the complete solution for the current in the circuit using Laplace transform method and

differential equations.

[16]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


PROFESSIONAL ETHICS & HUMAN VALUES (Common to CE, ME, CSE, PCE, IT, Chem. E, Aero. E, Auto. E, Min. E, Pet. E, Metal. E)




*****

PART-A

1. (a) What are the uses of ethical theories?

(b) Give the definition of values.

(c) What is meant by confidentiality?

(d) ‘Any project is carried out in partial ignorance.’ Why does it happen?

(e) Write about cost-analysis.

(f) What is the concept of safety?

(g) Write briefly about conflict of interests.

[3+3+3+3+3+3+4]

PART-B

2. (a) What are the types of risks? Explain with examples.

(b) Give an account of the responsibility of engineers towards the safety of product or

design.

[8+8]

3. (a) What is the purpose of engineering ethics?

(b) Give an analysis of ‘Kohlberg’s theory’.

[8+8]

4. (a) What are the qualities to handle ethical dilemma?

(b) ‘Weapon development needs a stipulated system of ethical values’- justify.

[8+8]

5. (a) Explain the classification of human values.

(b) Write a short note on:

(i) Caring and Sharing

(ii) Integrity.

[8+8]

6. (a) What are the different roles played by engineers in their professions?

(b) Explain - ‘role of codes’.

[8+8]

7. Write about

(a) Whistle blowing

(b) Types of Whistle blowing.

[8+8]

*****

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1. (a) What are the features of risk benefit analysis .

(b) What is relevant information?

(c) What do you understand by work ethics?

(d) How does ‘notion’ interfere with judgment regarding safety?

(e) Explain a note on ‘history of ethics’.

(f) What are obligations of loyalty?

(g) Give a brief account of ‘computer ethics’.

[3+3+3+3+3+3+4]

PART-B

2. (a) Explain: Gillign’s argument

(b) Heinz’s dilemma

[8+8]

3. Consider the need of Intellectual Property Rights.

[16]

4. (a) What is meant by ‘Ethical Egoism’?

(b) Explain the two kinds of loyalty.

[8+8]

5. (a) How is a computer used as an instrument of unethical behavior?

(b) What are the two major issues related to research?

[8+8]

6. Write short notes on:

(a) civic virtue

(b) courage

(c) commitment

(d) courage.

[4+4+4+4]

7. Give a brief note on

(a) Employee Crime

(b) White Collar Crime

(c) Acceptance of gifts and bribes

(d) Confidentiality

[4+4+4+4]

*****

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1. (a) Is safety a vague term? Explain.

(b) Explain the definition of values.

(c) What is consensus? Give an example.

(d) What is meant by computer ethics?

(e) Write about voluntary and involuntary risks.

(f) Differentiate the features of professionalism and loyalty.

(g) Express your view about computer being used as an object of unethical acts.

[3+3+3+3+3+3+4]

PART-B

2. Many occupational crimes are special instances of conflict of interests – substantiate.

[16]

3. Write a note on:

(a) History of Ethics

(b) Types of Inquiry.

[8+8]

4. ‘There is a need of moral leadership in various professions as well as in engineering’. ---

Illustrate.

[16]

5. (a) What are fundamental values? How do they guide personal life?

(b) Explain the classification of human values.

[8+8]

6. (a) Safety is primary in designing a product. Analyse.

(b) What is risk benefit analysis?

[8+8]

7. Elucidate:

(a) Weapons development

(b) Cross cultural issues.

[8+8]

*****

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1. (a) Give a brief account of globalization.

(b) Consider the relation between ‘engineer’ and ‘safety’.

(c) What is price fixing?

(d) Define ‘Conscientiousness’ in your own terms.

(e) What is the purpose of engineering ethics?

(f) Bring out the difference between morals and values.

(g) What are the qualities of a product to consider it less risky?

[3+3+3+3+3+3+4]

PART-B

2. How does comparison with standard experiments increase the efficiency of a product?

[16]

3. What are the techniques for achieving collegiality?

[16]

4. Write about Intellectual Property Rights.

[16]

5. Write a short note on:

(a) Right Conduct

(b) Peace

(c) Respect for others

(d) Honesty

[4+4+4+4]

6. What are professional ethics? How are they different from personal ethics?

[16]

7. (a) Explain the importance of designing for safety.

(b) Write about types of risks.

[8+8]

*****

Set No - 4

subject code: r13205/r13 set no - 1 i b. tech ii semester ... b. tech ii semester regular/supply...

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