part – a · code: 13a01101 . b.tech i year (r13) supplementary examinations december/january...

Code: 13A01101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015ENGINEERING MECHANICS (Common to CE, ME and Ch.E)

Time: 3 hours Max. Marks: 70 PART – A

(Compulsory Question) *****

1 Answer the following: (10 X 02 = 20 Marks) (a) What is the difference between the collinear and concurrent forces?(b) State parallelogram law of forces(c) Explain the term Cone of friction.(d) Stae the laws of static and dynamic friction.(e) Define centre of gravity and centroid(f) State the parallel axis theorem(g) What do you mean by rectilinear motion and give examples(h) Explain the principle of conversation of energy(i) Define perfect frame and imperfect frame.(j) What do you understand by free vibrations?

PART – B (Answer all five units, 5 X 10 = 50 Marks)

UNIT - I

2 The resultant of four forces which are acting at a point O as shown in figure below is along Y-axis. The magnitude of forces F1, F3 and F4 are 10 kN, 20 kN and 40 kN respectively. The angles made by 10 kN, 20 kN and 40 kN with X- axis are 300, 900 and 1200 respectively. Find the magnitude and direction of force F2 if resultant is 72 kN.

OR 3 (a) A simply supported beam of length 6 m carrying a uniformly distributed load of 5 kN/m over a length of 3 m

from the right end. Calculate the reactions at both ends. (b) A force of 100 N is acting at a point making an angle of 300 with the horizontal. Determine the components

of this force along X and Y axis.

UNIT - II

4 Find the frictional force in the block shown in figure below and state whether the block is in equilibrium or in motion. Also determine the additional force ‘P’ that must be added to 140 N force, to just move the block to the left.

OR 5 A block over lying a 100 wedge on a horizontal floor and leaning against vertical wall weighing 1500 N is to

be raised by applying a horizontal force to the wedge. Assuming co-efficient of friction between all the surfaces in contact to be 0.3. Determine the minimum horizontal force to be applied to raise the block.

Contd. in page 2

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x

y

20 kN

F1 = 10 kN F4 = 40 kN

F3 F2

µ = 0.20

45 N

700 N 140 N

O

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Code: 13A01101

UNIT - III

6 Locate the centroid of plane area as shown in figure below.

OR 7 Calculate the moment of inertia of the section shown in figure below about xx and yy axis through the

centroid.

UNIT - IV

8 The motion of a particle along a straight line is defined by relation x = t3 – 4.5t2 + 5, where ‘x’ is in meters and ‘t’ in seconds. Plot motion curves from t = 0 to t = 5 s with Δt = 0.5 s.

OR 9 A spring is used to stop 10 kg package which is moving down on an inclined plane and makes an angle of

250 with horizontal. The spring constant is K = 30 kN/m and is held by cables so that it is initially compressed by 80 mm. If the velocity of the package is 8 m/s when it is at 15.5 m from the spring, determine the maximum additional deformation of the spring in bringing the package to the rest position. Assume μ = 0.30.

UNIT - V

10 Find the forces in the members of the truss shown in figure below.

OR 11 A body oscillates with a simple harmonic motion along x- axis. Its displacement varies with time according to

x = 8 Cos (πt + π/4), where t is in seconds and angle in radians. (a) Determine amplitude, frequency and period of vibration.(b) Calculate the velocity and acceleration of the body at any time ‘t’.(c) Using results of (b), determine the position, velocity and acceleration of the body at t = 1 second.

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60 mm

90 mm

40 mm

40 mm

20 mm

20 mm

40 mm 80 mm

60 mm

30 kN 30 kN

2.4 m 2.4 m

1.8 m

A B C

D E

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Code: 13A02101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015ELECTRICAL CIRCUITS

(Electrical and Electronics Engineering)



1 Answer the following: (10 X 02 = 20 Marks) (a) Transform the circuit shown below to delta-star transformation:

(b) Two inductively coupled coils have self inductances = 50 mH and = 200 mH. If the coefficient ofcoupling is 0.5, compute the value of mutual inductance between the coils.

(c) Determine the power factor of a RLC series circuit R = 5 Ω, = 8 Ω and = 12 Ω.(d) In a three-phase balanced delta system, the voltage across R and Y is 400< V. What will be the voltage

across Y and B? Assume RYB phase sequence.(e) When the circuit is said to be under resonance?(f) Draw the dual network for the circuit shown below:

(g) State reciprocity theorem.(h) Write down general equations for hybrid parameters.(i) Define the term ‘Time constant’ of a circuit, in general.(j) Write the any two property of Fourier transform.


UNIT – I

2 (a) State and explain the Kirchhoff’s Laws. (b) A coil consists of 750 turns and a current of 10 A in the coil gives rise to a magnetic flux of 1200 µWb.

Calculate the inductance of the coil and determine the average emf induced in the coil when the current isreversed in 0.1 sec.

OR 3 (a) State and explain Faraday's laws of electromagnetic induction.

(b) The number of turns in a coil is 250. When a current of 2 A flows in the coil, the flux in the coil is 0.3 mWb.When the current is reduced to zero in 2 ms, the voltage induced in a coil lying in the vicinity of the coil is63.75 V. If the co-efficient of coupling between the coils is 0.75, find: (i) The self inductance of the two coils.(ii) Mutual inductance. (iii) Number of turns in the second coil. (iv) Derive the formulae used.

UNIT – II

4 (a) Derive the relation between phase and line values in a 3-phase balanced star connected system with neat circuit diagram.

(b) An unbalanced four wire, star connected load has a balanced voltage of 400 V, the loads are: = (4+j16) Ω,= (5+j20) Ω, = (8+j4) Ω. Calculate the: (i) The line currents. (ii) Current in the neutral wire and (iii) The

total power.OR

5 (a) Explain how power is measured in three phase star connected system using two wattmeter method with neat circuit diagram.

(b) An unbalanced four wire, star connected load has a balanced voltage of 400 V, the load are; = (4+j8) Ω, = (15+j20) Ω, = (3+j4) Ω. Calculate the: (i) The line currents. (ii) Current in the neutral wire and (iii) The

total power. Contd. in page 2

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A

B C

30 Ω 30 Ω

30 Ω

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Code: 13A02101

UNIT – III

6 (a) Write short notes on nodal analysis. By taking any one example explain the significance of nodal analysis. (b) A capacitor C is in series with a 75 Ω resistor and a 12 H coil across a 220 V, 60 Hz supply. Determine the

value of ‘C’ that resonates the circuit. OR

7 (a) Write the tie-set schedule and write tie-set matrices also. Write the relationship between the branch current and link currents of the given figure below.

(b) Find the cut-set matrix of the network as shown in figure and obtain relationship between the branch currentand voltages.

UNIT – IV

8 (a) State and explain the maximum power transform theorem. (b) Find the transmission parameters for the resistance network shown in figure below.

OR 9 (a) State Millmann’s theorem and Tellegon’s Theorem.

(b) Find the Z and transmission parameters for the resistance network shown in figure below.

UNIT – V

10 In the circuit shown in figure, the switch S is in position 1 for a long time and brought the position 2 at time t=0. Determine circuit current.

OR 11 (a) A series RLC circuit has R = 50 Ω, L = 0.2H and C = 50 µF constant voltage of 100 V is impressed upon the

circuit at t = 0. Find the expression for the transient cuurent assuming initially relaxed conditions. (b) Explain the properties of Fourier transforms in detail.

***** Page 2 of 2

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2 Ω

1I 2I

1 2

2 Ω 1 Ω

2 Ω

1I 2I

1 2

2 Ω 1 Ω

2 Ω

4 Ω 6 Ω

8 V

6 V 12 V + +

+ -

- -

4 Ω

2 Ω 6 Ω

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Code: 13A03101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015ENGINEERING DRAWING

(Common to CE, ME and Ch.E)

Time: 3 hours Max. Marks: 70

(Answer all five units, 05 X 14 = 70 Marks) *****

UNIT – I

1 (a) Construct an ellipse when the distance of the focus from the directrix is equal to 50 mm and eccentricity is 2/3.

(b) Draw a hypocycloid when the radius of the directing circle is twice the radius of generating circleand radius of the generating circle is 35 mm.

OR 2 (a) Construct a rectangular hyperbola when a point p on it is at a distance of 18 mm and 34 mm from

two asymptotes. Also draw a tangent to the curve at a point 20 mm from an asymptote. (b) A thread of length 165 mm is wound round a circle of 40 mm diameter. Trace the path of end point

of the thread.

UNIT – II

3 (a) The front view of a line, inclined at 300 to the V.P. is 65 mm long. Draw the projection of the line, when it is parallel to and 40 mm above the VP, its one end being 30 mm in front of the V.P.

(b) A regular pentagon of 25 mm side has one side on the ground. Its plane is inclined to H.P at 450

and perpendicular to V.P. Draw its projections. OR

4 (a) A line PQ 75 mm long has its end P in both HP and VP. It is inclined at an angle of 300 to HP and 450 to VP. Draw projections of the line.

(b) A rectangular plane of 60 mm 40 mm is resting on shorter edge on the ground and inclined at450 to V.P. The plane surface is inclined at 300 to H.P. Draw its projections.

UNIT – III

5 (a) Draw the projections of a hexagonal prism side of base 25 mm and height 60 mm resting with its base on H.P. such that one of its rectangular faces is parallel to V.P.

(b) A cylinder of base diameter 50 mm and height 60 mm rests on its base on HP. It is cut by a planeperpendicular to VP and inclined at 450 to HP. The cutting plane meets the axis at a distance 15mm from the top to the base. Draw the sectional plan and true shape of section.

OR 6 (a) A square prism base 40 mm side and height 65 mm, has its axis inclined 450 to ground and has

an edge of its base on the ground and inclined at 300 to the V.P. Draw its projections. (b) Hexagonal pyramid side of base 25 mm and axis 50 mm long rests with one of the corners of its

base on H.P. Its axis is inclined at 300 to H.P. and 450 to V.P. Draw its projections.Contd. in page 2

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Code: 13A03101

UNIT – IV

7 Two views of a casting are shown below. Draw the isometric view of the casting (dimensions are in mm).

OR 8 Draw the front view, top view and right side view of the object shown below (dimensions in mm).

UNIT – V

9 A cylinder of 60 mm diameter and axis 80 mm long is standing on its base on HP. A horizontal rectangular hole of 35 mm x 25 mm sides is cut through the cylinder. Axis of the hole is parallel to VP. The axes of both cylinder and hole intersect at right angles and bisect each other. Draw the projections and show the curves of intersection.

OR 10 A square plane with a 50 mm side lies on the GP with the edge nearer to the observer lying in the

PP. The station point is 40 mm in front of PP, 50 mm above GP and lies in a CP which is 40 mm towards right of the center of the object. Draw its perspective view.

*****

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Code: 13A04101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015NETWORK ANALYSIS (Common to ECE and EIE)



1 Answer the following: (10 X 02 = 20 Marks) (a) For a network of seven branches and four nodes, the number of independent loops will be ----(b) The number of independent loops for a network with n nodes and b branches are---------(c) In a series RLC circuit with output taken across C, the poles of the transfer function are located at − α ± jβ.

The frequency of maximum response is given by ---------(d) The free response of RL and RC series networks having a time constant is of the form-----(e) The natural response of a network is of the form (A1 + A2 t + A3 t2) e-t. The network must have repeated

poles at s = 1 with multiplicity -------------------(f) The mutual inductance M associated with the two coupled inductances L1 and L2 and is related to the

coefficient of coupling K is -----------------(g) A 2 port network using Z parameter representation is said to be reciprocal if -------------(h) Two inductors of values L1 and L2 are coupled by a mutual inductance M. By inter connection of the two

elements, one can obtain a maximum inductance of -----------(i) A – section filter comprises a series arm inductance of 20 mH & two shunt capacitors each of 0.16

microfarad. Calculate the attenuation at 15 KHz.(j) A second order band pass filter has a value of 10 for the ratio of center frequency to bandwidth. The filter

can be realized with ------------


UNIT – I

2 (a) Find the node voltage V1, V2, and V3 for the circuit given figure below.

(b) State and explain Tellegen’s theorem OR

3 (a) Using KCL and KVL, find the currents in all the sources of the circuit of the following figure.

(b) Explain Miller's theorem with an example.Contd. in page 2

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UNIT – II

4 (a) Define circuit transient, time constant, natural response and forced response. (b) An exponential voltage V(t) = e-t is suddenly applied at t = 0 to a series RC circuit with R = 9 Ω, C = 0.25F.

Obtain particular solution for current i(t) through the circuit if the initial charge across the capacitor C is zero. OR

5 (a) Deduce the transient response of RL series circuit excited by DC source. (b) In the series RL circuit the switch is closed on position (1) at t=0, and then at t = = 50 μ sec, it is moved to

position (2) Find the expression for current in the intervals 0 < t < and t < . Shown in figure below.

UNIT – III

6 (a) Obtain the expression for resonance frequency of a parallel resonant circuit shown in the figure below. Find the condition for resonance at all frequencies.

(b) Define self-inductance of a coil, mutual inductance between two coils and coefficient of coupling. Derive therelation between the self, mutual inductances and coefficient of coupling.

OR 7 (a) A RLC series circuit of 8 Ω resistance should be designed to have a bandwidth of 50 Hz. Determine the

values of L and C so that the system resonates at 250 Hz. (b) Distinguish between reactance, impedance, admittance and suceptance

UNIT – IV

8 (a) Obtain the transmission parameters of the 2-port network shown in figure below.

(b) Design a high pass filter with a cut-off frequency of 1 KHz with a terminated design impedance of 800 Ω. OR

9 (a) For the following network, obtain the impedance parameters and hence determine transmission parameters.

(b) Derive the relation between Y and h parameters.

UNIT – V

10 (a) What is the difference between constant – k and m-derived filters? (b) Design a high pass π network, having a cut-off frequency of 3250 Hz. The frequency of infinite attenuation

may be taken as 2750 Hz. The characteristic impedance is 450 μ. OR

11 (a) Explain what is meant by constant k-filters. Classify them. (b) Design an m-derived T section low pass filter having a design impedance of 600 Ω, cut-off frequency of

2400 Hz and infinite attenuation at 2500 Hz.*****

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Code: 13A05101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015PROBLEM SOLVING & COMPUTER PROGRAMMING

(Computer Science and Engineering)



1 Answer the following: (10 X 02 = 20 Marks) (a) Give brief description about the general problem solving strategies.(b) Write a program that reads nine integers and prints them three in a line separated by commas.(c) What is an expression? Give brief description about the different types of expressions.(d) Given a set of n numbers design an algorithm that adds these numbers and returns the resultant sum.

Assume n is greater than or equal to zero.(e) Given an integer n devise an algorithm that will find its smallest exact divisor other than one.(f) What is top – down design? Illustrate it with the help of a diagram.(g) With the help of neat sketch, explain the bitwise shift – right operator.(h) Draw and explain the truth table for bitwise exclusive OR operator.(i) Explain the node structure of a single linked list.(j) Give brief description about the block memory allocation technique.


UNIT - I

2 (a) Explain in detail about the system development life cycle. (b) What is an identifier? What are the rules that should be followed for defining the identifiers?

OR 3 (a) Write a program that prompts the user to enter an integer and then prints the integer first as a character,

then as a decimal and finally as a float. (b) What are the major computer hardware components? Explain them.

UNIT - II

4 (a) What is type conversion? Explain the different types of conversion in detail.(b) Write a program to print the Fibonacci sequence of any given number.

OR 5 (a) With the help of a flowchart and syntax explain the for loop.

(b) Write a program to calculate the GCD of given two numbers.

UNIT - III

6 (a) What is an array? Explain the one dimensional array with suitable example program.(b) Design an algorithm that rearranges the elements in an array so that they appear in reverse order.

OR 7 (a) Given a randomly ordered array of n elements determine the kth smallest element in the set.

(b) What is a function? In how many ways the arguments can be passed to the function? Explain them in detail.

UNIT - IV

8 Discuss in detail about the various string manipulation functions OR

9 (a) What is a structure? Explain how it differs from arrays.(b) What is a mask? Explain the one bit and two bit masks with suitable examples.

UNIT - V

10 What are the different possible positions that a node can be deleted from a single linked list? Explain them in detail.

OR 11 Explain in detail about the various types of standard input and output functions

*****


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Code: 13A12101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015PROGRAMMING IN C & DATA STRUCTURES (Common to CE, ME, EEE, ECE, EIE, IT and Ch.E)



1 Answer the following: (10 X 02 = 20 Marks) (a) Write the syntax of conditional operator and explain its operation with an example.(b) Define flowchart. Describe the symbols used for representing reading and decision making statements.(c) What is the difference between getchar( ) & gets( ) and putchar( ) & puts( )?(d) With an example distinguish between break and continue statement.(e) What is the output of the following program:

#include<stdio.h>Void main() int a=10,b=30,c=0;c= a++;c=++b;printf(“\nc=%d”,c);printf(“\na=%d,\tb=%d”,a--,b);printf(“\na=%d,\tb=%d”,a,--b);

(f) What is the purpose of strstr()? Give its syntax.(g) List the operations performed on a file.(h) Write the output for the following program:

#include<stdio.h>main() int p=4;int *pt;int **tp;clrscr();pt=&p;tp=&pt;printf(“p=%d, pt=%d.tp=%d”,*pt,p,*(*tp));

(i) Define Queue. List the major operations of the queue.(j) Write the postfix and prefix notations for the following expression: A/B*C+D*E-A*C.


UNIT - I

2 Explain the phases of the software development life cycle in detail with a neat diagram. OR

3 Explain various operators in C with suitable examples.

UNIT - II

4 (a) Differentiate between elseif and switch statements with examples.(b) What is recursion? What are its advantages?

OR 5 (a) What is a Bug? Explain the techniques used for debugging.

(b) Why should we avoid using goto statement in programming? How it is different from continue statement?Explain with examples.

Contd. in page 2

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Code: 13A12101

UNIT - III

6 (a) What are the different storage classes in C? Explain.(b) Write a C program to add two matrices.

OR 7 Write a C program to sort a list of names.

UNIT - IV

8 (a) What are compiler directive statements? List and define the preprocessor statements in C.(b) Write a C program to copy the contents of one file to another.

OR 9 (a) Explain various operations on pointers with examples.

(b) What are the bitwise operations? Explain with examples.

UNIT - V

10 (a) List and explain the operations on stack. (b) Write the algorithm for evaluation of postfix expression.

OR11 Implement queue using linked list.

*****

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Code: 13A51101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015ENGINEERING CHEMISTRY

(Common to all branches)



1 Answer the following: (10 X 02 = 20 Marks) (a) What is corrosion? Give two suitable examples.(b) Give preparation of Thiokol rubber.(c) Define Octane number.(d) Give composition of cement.(e) What is caustic embrittlement?(f) What is calgon conditioning?(g) What are the criteria of refractory?(h) Define gross and net calorific values.(i) Mention five important applications of liquid crystals.(j) What is cathodic protection? Give one example.


UNIT - I

2 Explain electro chemical theory of corrosion with diagram. OR

3 (a) Discuss the voltametric sensors.(b) Write on Hydrogen-Oxygen fuel cells.

UNIT - II

4 What are the silicones? Give preparation, properties and applications of silicones. OR

5 How the following polymers are prepared: (i) Bakelite. (ii) Polyurethene. (iii) Buna-S. (iv) Buna-N.

UNIT - III

6 A fuel, containing 93% C and 6 H% by mass, was burnt in 90% of air that required for complete combustion. Find out the percentage composition of dry products of combustion by mass, if Hydrogen is burnt completely and no carbon is left behind.

OR 7 A sample of coal was contain the following constituents: C = 80%: O = 9 %: S = 1% H = 4%: N = 2% ash =

4%. Calculate the minimum amount of air required for the complete combustion of 1 kg of coal. Also calculate the percentage composition by weight of the dry products of combustion. If oxygen in air is 23% by weight.

UNIT - IV

8 Discuss the properties of refractory materials OR

9 Explain the different theories of lubrication process

UNIT - V

10 Describe the demineralization process of softening of hard water and what are the advantages over zeolite process.

OR 11 Explain principle and procedure for determination of dissolved oxygen.

*****


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Code: 13A52101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015COMMUNICATIVE ENGLISH




1 Answer the following: (10 X 02 = 20 Marks) (a) Fill in the blanks with suitable articles.

Homi’s mother, Meherbai Bhabha, was --------- gentle soul, ------------ beautiful and educated lady who had-----------great influence on -----------------personality of Homi.

(b) Add question tags for the following:(i) Dhyan Chand scored over 1000 goals in his career.(ii) Please, pass the book.

(c) Fill in the blanks with the right form of the verbs in brackets:Yesterday, when I ------------(go) there, my friend ------------(leave) the place.

(d) Change the voice of the following sentences:(i) Somebody has stolen my pen.(ii) The picture is being drawn by Ram.

(e) Correct the following sentences and rewrite them:(i) I have kept my luggages in that room.(ii) The teacher along with the students have visited the Fort.

(f) What was the cause of young Homi’s insomnia?(g) What does Kalam think about ‘value addition’ in India?(h) What are the usual measures used to check soil erosion?(i) What does Kipling mean by ‘two impostors’? Why does he refer to them as such?(j) What was the dream of young Booket T.Washington?


UNIT - I

2 Bring out the humour in the short story, “An Astrologer’s Day”. OR

3 Describe Homi Jehangir Bhabha’s childhood and education.

UNIT - II

4 (a) Read the following passage carefully and make notes.

‘I entertain great regard for your fine abilities and love of the country and that shall be unabated whether I have the good fortune to secure your co-operation or face your honest opposition.’ These words are incorporated in a letter addressed to Mokshagundam Visveswarayya by Mahatma Gandhi. Gandhi and Visvesvarayya played a vital role in their unique ways in shaping the destiny of India. But the means and methods they followed, however, were not always similar; they appeared to be diametrically opposed in certain respects. While Gandhi personified himself as ‘Daridranarayana’, the god of the poor and was dressed as a faquir, Visvesvarayya was always immaculately dressed. And unlike Gandhi, Visvesvarayya was in favour of large-scale industrialization. Visvevarayya came to prominence as the architect of big dams and successfully undertook a number of reforms as the Dewan of Mysore; Gandhi attained universal fame by showing the world that one can achieve his goals by following the path of truth and non-violence.

(b) Write a paragraph on the role of English language in the present scenario.OR

5 Briefly explain Jagadish Chandra Bose’s contribution to research. Contd. in page 2

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UNIT - III

6 Why does C.V.Raman consider water as the true elixir of life? OR

7 How does Oscar Wilde describe the plight of the poor in the story ‘The Happy Prince’?

UNIT - IV

8 Describe the feelings of the narrator in ‘The Woodrose,’ in leading her retired life in son’s house? OR

9 What qualities are required for a man to be virtuous in his life, according to Rudyard Kipling?

UNIT - V

10 Draft an E-mail letter to a manufacturing company of Mobile phones, requesting them to send you the catalogue of latest mobile phones.

OR 11 Describe the struggles faced by Booker T.Washington in getting good education.

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Code: 13A54101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015MATHEMATICS – I




1 Answer the following: (10 X 02 = 20 Marks) (a) Solve(b) Solve . (c) Expand in a neighborhood of (d) Find the envelop of the family of curves for different values of (e) Find the asymptotes of(f) Find the quadrature of the rectangular hyperbola from (g)

(h) =

(i) Prove that , is a constant vector. (j) State Green’s theorem.


UNIT - I

2 The deflection of a strut of length with one end built - in and the other end subjected to the end thrust

satisfies Find the deflection of the strut at a distance from the built - in end. OR

3 Solve

UNIT - II

4 Verify Maclaurin’s theorem for with Lagrange form of remainder up to 3 terms with OR

5 Find the radius of curvature at any point on the parabola Show that it is . Where is the focus of the parabola?

UNIT - III

6 Find the volume of the solid generated by revolution of the loop of the curve about the

OR

7 Evaluate the integral .

UNIT - IV

8 Find the Laplace transform for .

OR 9 The triangular wave function defined by and Find Laplace transform of

UNIT - V

10 Find the directional derivative of in the direction of at the point OR

11 If evaluate where is the region bounded by the surface

*****


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Code: 13A54102

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015MATHEMATICS – II

(Common to EEE, ECE, EIE, CSE and IT) Time: 3 hours Max. Marks: 70

PART – A (Compulsory Question)

***** 1 Answer the following: (10 X 02 = 20 Marks)

(a) Find the sine series of . (b) If then find (c) Obtain the complete solution for(d) Find . (e) Find P.Ι of (D2-2DD’) z = x3 y.(f) State one dimensional heat equation.

(g) Find the Eigen values for the matrix

(h) Write condition for the system AX = B is consistent.

(i) Find the rank of .

(j) Using Euler’s method find the solution of the initial problem by assuming h = 0.2.


UNIT - I

2 Reduce the quadratic form to the canonical form. Also specify the matrix of transformation.

OR 3 State and prove Cayley-Hamilton theorem.

UNIT - II

4 Find the root of by Newton Raphson method corrected to three decimal places. OR

5 Evaluate taking 4 intervals. Using (i) Trapezodial rule. (ii) Simpson’s 1/3 rd rule.

UNIT - III

6 Use fourth order Runge-Kutta method to compare y for x = 0.1, given OR

7 Find the Half range Fourier sine series and hence deduce that:

UNIT - IV

8 Find the Fourier cosine transform of OR

9 Solve Z-transform

UNIT - V

10 Solve the equation with boundary conditions where

OR 11 A tightly stretched string with fixed end points is initially in a position given by

if it is selected from rest from this position, find the displacement *****


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Code: 13A56101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015ENGINEERING PHYSICS




1 Answer the following: (10 X 02 = 20 Marks) (a) What is an optical resonator?(b) What is meant by total internal reflection?(c) What is Schottky defect?(d) What is Piezoelectricity?(e) What is Hiesenberg’s uncertainty principle?(f) What are the sources of electrical resistance?(g) What is the direct band-gap semiconductor?(h) Define hysteresis.(i) What is flux quantization?(j) What is meant by quantum confinement?


UNIT - I

2 (a) How do you determine wave length of light using Newton’s rings experiment?(b) Newton’s rings are observed in the reflected light of wave length 5900 A0. The diameter of 10th dark ring is

0.5 cm. Find the radius of curvature of lens used? OR

3 (a) Define absorption, stimulated emission and population inversion.(b) Differentiate single mode and multimode fibres

UNIT - II

4 What are Miller indices? Determine the expression for inter planer spacing in terms of Miller indices. OR

5 What is non destructive testing? How ultrasonics are used in non destructive testing of materials?

UNIT - III

6 (a) Derive an expression for energy level of a particle in one dimensional potential well.(b) What are the properties of matter waves?

OR7 Discuss the motion of electron in a periodic potential.

UNIT - IV

8 (a) Obtain an expression for Hall coefficient.(b) Explain the working of LED.

OR 9 (a) Explain soft and hard magnetic materials.

(b) A magnetic material has a magnetization of 3300 A/m and flux density of 0.0044 Wb/m2. Calculatemagnetizing force and the relative permeability of the material.

UNIT - V

10 (a) Prove that superconductor is a very good diamagnetic material. (b) Explain BCS theory of superconductors.

OR 11 (a) How the optical and magnetic properties change during the transition from bulk to nano?

(b) Write application of nanomaterials. *****


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Code: 13A99101

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015BASIC ELECTRICAL & ELECTRONICS ENGINEERING

(Common to CSE and IT) Time: 3 hours Max. Marks: 70

Answer all the questions *****

PART – A

UNIT – I 1 (a) Write short notes on star-delta transformation. Derive the necessary equations.

(b) A resistance of 50 Ω, an inductance of 0.5 H and a capacitance of 50 µF are connected in series across220 V, 50 Hz mains. Determine: (i) Impedance of the circuit. (ii) Current taken from the mains. (iii) Powerand power factor of the circuit.

OR 2 Explain in detail the active elements and passive elements.

UNIT – II 3 (a) State Millmann’s theorem and Tellegon’s theorem.

(b) Find the transmission parameters for the resistance network shown in figure below.

OR 4 (a) Derive expression for the Y parameters in terms of Z parameters.

(b) Find Hybrid parameters for the following network.

UNIT – III 5 (a) Explain the principle of operation of 3-phase induction motors.

(b) Explain the characteristics and applications of DC motor. OR

6 (a) Derive the emf equation of DC generator. (b) Explain the constructions details of 3-phase induction motor.

PART – B

UNIT – I 7 (a) Draw the forward characteristics of the semiconductor diode and explain the nature of variation with

reference to the equation for forward current of the diode. (b) A PN junction diode has a reverse saturation current of 5/µA at 25oC. Determine its static and dynamic

resistance for a forward bias of 0.2 V at 75oC.(c) Discuss the features that are responsible for maintaining constant voltage across the load in simple

voltage regulator circuit using a zener diode.OR

8 (a) With the help of necessary graphs and sketches explain the potential distribution in an open circuited p-n junction.

(b) In a full wave rectifier the required DC voltage is 9 V and the diode drop is 0.8 V, calculate ac rms inputvoltage required in case of bridge rectifier circuit and center tapped full wave rectifier circuit.

(c) Distinguish between drift current and diffusion current.Contd. in page 2

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Code: 13A99101

UNIT – II 9 (a) Show the various regions of operation on the output characteristics of a CE transistor and explain their

significance in the use of transistor as an amplifying device. (b) Define the different parameters of FET.(c) Draw a circuit diagram with biasing voltages to obtain the drain characteristics and the transfer

characteristics of N-channel depletion enhancement MOSFET device.OR

10 (a) Define stability factor. Why is it necessary for a BJT circuit? Derive the relation between α & β. (b) Explain how FET works as voltage variable resistor. Differentiate FET and MOSFET.

UNIT – III11 Draw the circuit diagram of a RC phases shift oscillator using BJT and derive the expression for frequency

of oscillations. Describe the operation of an Op – Amp based differentiator.

OR 12 (a) The gain of an amplifier is decreased to 1000 with negative feedback from its gain of 5000. Calculate the

feedback factor and the amount of negative feedback in dB. (b) Derive closed loop voltage gain, input resistance, output resistance and band width for Op-amp inverting

amplifier with feedback arrangement.

*****

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part – a · code: 13a01101 . b.tech i year (r13) supplementary examinations december/january...

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