question paper code: a3006 (autonomous) b. tech ii … · 2018-12-10 · 5. a sphere of diameter...

Hall Ticket No: Question Paper Code: A3006

(AUTONOMOUS) B. Tech II Semester Regular/Supplementary Examinations, June - 2018

(Regulations: VCE-R15)

MATHEMATICS-II (Common for All Branches)

Date: 12 June, 2018 FN Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

a) Express the matrix

as a sum of symmetric and skew symmetric

matrices.

b) Find the values of and for the system of equations 2 3 ;x y

4 5 7 ;x y z 2 2 3 5x y z has

i. No solution ii. Unique solution iii. Infinitely many solutions

a) Verify Cayley-Hamilton theorem for the matrix

and hence find 1A

b) Find the rank of the matrix

1 2 3 1

1 1 3 1

1 0 1 1

0 1 1 1

by reducing to normal form.

Unit – II

3. a) Show that: i. A square matrix and its transpose have same eigen values ii. Product of two Unitary matrices is Unitary

b) Find the eigen values and eigen vectors of

a) Reduce the quadratic form 2 2 28 7 3 12 4 8x y z xy xz yz to canonical form by

orthogonal transformation and find rank, index, signature and nature of quadratic form.

b) Find the eigen values and corresponding eigen vectors of

Cont…2

:: 2 ::

Unit – III

5. a) Form a Partial differential equation by eliminating arbitrary function from

2 2 2, 0x y z x y z

b) Solve 2 23 0xyx z y z by the method of separation of variables.

a) Solve 2 2 2 21q p z p

b) Solve 2 2 2x y z p y z x q z x y

Unit – IV

a) Obtain the Fourier series of, 0

( )2 , 2

x xf x

b) Obtain the half range Fourier cosine series of ( )f x x in the interval (0, )

a) Obtain the Fourier series of 2( )f x x x in the interval ( 1,1)

b) Obtain the half range Fourier sine series of ( ) (1 )(2 )f x x x x in the interval (0,2)

Unit – V

a) Find the Fourier transform for 2 11 ,

( )10,

. Hence evaluate

cos sincos

x x x xdx

b) Find the Fourier sine transform ofx

a) If 2

2 3 12

z zU z

, find 0 1,u u

b) Find the inverse Z-transform of 3

( 2) ( 4)

(AUTONOMOUS) B. Tech II Semester Regular/Supplementary Examinations, May - 2018

ENGINEERING DRAWING-II (Common to Mechanical Engineering & Civil Engineering)

Date: 31 May, 2018 FN Time: 3 hours Max Marks: 75

Unit – I

1. A triangular pyramid of base side 40mm and axis 50mm has its base on ground. It is cut by a section plane, perpendicular to VP inclined at 40˚ to HP, passing through the midpoint of the axis. Draw the sectional top view and the true shape of the section.

2. A rectangular prism of base size 25mm X 40mm and axis length 65mm is resting on HP on its base with the longer side of base inclined at 30˚ to VP. It is cut by a plane inclined at 40˚ to HP and perpendicular to VP and passes through the extreme left corner of base. Draw the development of the lateral surface of the remaining portion of the prism.

Unit – II

3. Draw the curves of intersection when the axis of the horizontal cylinder is parallel to the VP. A horizontal cylinder of diameter 40 mm penetrates into a vertical cylinder of diameter 60mm. The axes of the cylinders intersect at right angles.

4. Draw the top and front views of the following cylinders and the curves of intersection. A vertical cylinder of diameter 120mm is fully penetrated by a cylinder of diameter 90mm, their axes intersecting each other. The axis of the penetrating cylinder is inclined at 300 to the HP and is parallel to the VP.

Unit – III

5. A sphere of diameter 50mm rests centrally on top of a cube of sides 50mm. Draw the isometric projections of the combination of solids.

6. A sphere of diameter 30mm rests on the frustum of a hexagonal pyramid, base 30mm, top face 18mm side and height 50mm, such that their axis coincide. Draw the isometric projections of the combined of solids.

Unit – IV

7. Sketch the elevation, top view and side view of the following objects shown in Fig.1 below. All dimensions are in mm.

Cont…2

8. Illustrate the elevation, top view and side view of the following objects shown in Fig.2

below. All dimensions are in mm.

Unit – V

9. Sketch the perspective projection of a straight line AB, 60mm long, parallel to and 10mm above the ground plane and inclined at 450 to PP. The end A is 20mm behind the picture plane. Station point is 35mm in front of the picture plane and 45mm above the ground plane and lies in a central plane passing through the mid-point of AB.

10. Draw the perspective projection for the following. A square pyramid of base edge 40mm and altitude 50mm rests with its base on the ground plane such that all the edges of the base are equally inclined to the PP. One of the comers of the base is touching the PP. The station point is 60mm in front of the PP, 80mm above the ground plane and lies in a central plane which passes through the axis of the pyramid.

ENGINEERING PHYSICS (Common to Computer Science and Engineering, Information Technology &

Electrical and Electronics Engineering) Date: 05 June, 2018 Time: 3 hours Max Marks: 75

Unit – I

1. a) Derive an expression for the interplanar spacing of a crystal in terms of Miller indices and explain the Miller indices importance in crystallography.

b) Define coordination number and atomic packing factor. Calculate the atomic packing factor for SC and BCC structures.

2. a) What are the essential features of the Rotating Crystal method of X-ray diffraction? 9M b) What are the major applications of X-ray diffraction in disciplines? Calculate the glancing

angle for incidence for X-rays of wavelength 0.58 A0 on the plane (1 3 2) of NaCl which results in second order diffraction maxima taking the lattice constant of 3.81A0.

Unit – II

3. a) Describe G P Thompson experiment with neat sketch. 6M b) By applying the one dimensional time independent Schrodinger’s wave equation to a

particle trapped in a one dimensional box of length L show that the Eigen values of the particle is given by E=n2h2/8mL2 where m is the mass of the particle.

4. a) Where does the Fermi level lie in the energy band diagram of an intrinsic semiconductor? Explain what happens to the Fermi level if the semiconductor is doped with: i. Donor impurities ii. With acceptor impurities Show the behaviour using a diagram.

b) Explain the processes leading to the production of light in LED's.

Unit – III

5. a) Using the cube and a sphere as examples show that the smaller the body the larger the surface area when compared to the volume? State the implications of these in nanotechnology.

b) State the salient features of the process of chemical vapour deposition. 8M 6. a) Discuss the different types of polarizations mechanisms in dielectrics. 8M b) An elemental solid dielectric material has polarizability 7x10-40Fm2. Assuming the internal

field to be Lorentz field. Calculate the dielectric constant for the material if the material has 3x1028 atoms /m3.

Unit – IV

7. a) Explain soft and hard magnetic materials with examples. 8M b) Discuss the classification of magnetic materials. 7M 8. a) Explain the phenomenon of superconductivity and Meissner effect with example. 8M b) What are Type-II superconductors? How are they fundamentally different from the Type-I

superconductors. Explain the behaviour of these superconductors between the critical fields Hc1 and Hc2.

Cont…2

:: 2 ::

Unit – V

9. a) What is stimulated emission? How is it different from spontaneous emission? Explain why stimulated emission is required for production of laser light and what is the required condition for production to happen?

b) Using a suitable energy level diagram explain the working of a Ruby laser. 9M 10. a) What are the different kinds of optical fibers? Draw simple diagrams to represent the ray

propagation in them. 9M

b) Explain the modes of propagation of optical fibers with figure. A fibre with an input power of 9µW has a loss of 1.5db/km. If the fibre is 3000m long, what is the output power?

(AUTONOMOUS) B. Tech II Semester Regular Examinations, June - 2018

TECHNICAL ENGLISH (Common to Electronics and Communication Engineering,

Mechanical Engineering & Civil Engineering) Date: 05 June, 2018 Time: 3 hours Max Marks: 75

Unit – I

1. a) Write a brief note on the writer’s experiences through Ladakh. 10M b) Do as directed:

i. Use a prefix to get the antonym: use ii. The painting was hung …… the wall. ( use preposition) iii. Correct the error: Let me sit besides her iv. Write a synonym for the word: Fair v. Choose the right word: The knots are ……. (lose/loose)

2. a) Discuss mother Teresa as a humanist for poor. 10M b) Do as directed:

i. Write the antonym for the word: fortune ii. Use proper suffix to form a new word: honest iii. Fill the blank with a suitable preposition: We drove …….the crowded street. iv. Correct the error: I found his carrier in life interesting v. Write the meaning of the idiom: at an arm’s length

Unit – II

3. a) Give the background of Miss. Krishna and write notes on the eccentric behavior of Miss Krishna.

b) Do as directed: i. Write the antonym for the word : Coward ii. Write the synonym for the word : Delicious iii. Identify the gerund in the sentence : Climbing is not as easy as it looks iv. Identify the infinitive phrase in the sentence : To dance is thrilling for me v. Underline the noun pharse in the sentence : Leela gave the little boy a candy

4. a) Explain Sam Pitroda’s concept of IT creation that created New India and write notes on his philanthropic services.

b) Do as directed: i. Write the antonym for the word : Debris ii. Write the synonym for the word : Research iii. Fill in the blanks with suitable preposition : The sparrows took no notice of the bread iv. Use this phrasal verb in a sentence : Bail out v. Correct the sentence : Dolphins have its own language

Unit – III

5. a) What according to the writer are the problems faced by Indian directors when they make slightly modified versions of classics and films based on political themes?

b) Do as directed: i. Write one word substitute : rule by one person with absolute power ii. Rewrite the sentence in right order : shall we summer where this go iii. Choose the right word : My new pants are ……, I need to exchange. (Lose/loose) iv. Use this idiom in your sentence : like a fish out of water v. Correct the sentence : Each of these mangoes are sweet

Cont…2

:: 2 ::

6. a) Give an account of Martin Luther King’s historical speech. 10M b) Do as directed:

i. Use the phrase in your sentence : to make up ii. Write the synonym for the word : extravagant iii. Identify the tense : She sat beside me to watch the movie. iv. Use this idiom in your sentence : to bury the hatchet v. Correct the sentence : I often do mistakes when I speak English

Unit – IV

7. a) Immediately after the tsunami struck Cuddalore, what were some of the first tasks the administration had to do? What step did administration take to ensure supply of potable water?

b) Write a job application letter. Job: Office Assistant. Prepare a resume.

8. a) You have shifted from rented house at Rajajinagar to your newly constructed house at Jayanagar. You had your cooking gas subscription account in Kamal Gas Agencies, Rajajinagar and now you want your subscription account to be changed to Vimal Gas Supply at Jayanagar. Write a letter to Kamal Gas Agency seeking what you want.

b) Do as directed: i. Convert into passive voice:They renovated the restaurant in 2004 ii. Write the antonym for the word: tenement iii. Write the synonym for the word:Benefit iv. Fill in the blanks with appropriate words: Your friends________________(wait) for you for over an hour. Where _________

you _________(be) all this time? You __________(be) out for almost four hours.

Unit – V

9. a) What are the Obama’s views on terrorism and freedom? 10M b) Do as directed:

i. Convert the following sentences into Indirect speech: I. The car hit the speeding motorist II. The old man read the letter loudly

ii. Give an example each of simple, compound and complex sentence I. Simple II. Compound III. Complex

10. a) Write the structure of a report and the purpose and contents of each section. 10M b) Do as directed:

i. Correct the error: If I will be late, I will call you ii. Use proper suffix to form a new word: certain iii. Identify the tense of the sentence: We will be going on a trip this weekend iv. Use appropriate preposition: The couple walked ……the sea v. Write the meaning of the idiom: to be in soup

ENGINEERING CHEMISTRY (Common to Computer Science and Engineering, Information Technology &

Electrical and Electronics Engineering) Date: 07 June, 2018 Time: 3 hours Max Marks: 75

Unit – I

1. a) Define the following terms: i. Specific conductance ii. Molar conductance iii. Cell constant

b) Explain the construction and working details of Ni-Cd cell. Mention its uses. 8M 2. a) What is cathodic protection? Explain sacrificial anode method with example. 8M b) What are concentration cells? A spontaneous galvanic cell tin/tin ion (0.024 M) //tin ion

(0.064 M) /tin, produces a potential of 0.0126 V. Calculate the valency of tin at 298K.

Unit – II

3. a) Explain the softening of water by electro dialysis method. 7M b) Explain the types of hardness with example. Calculate the temporary and permanent

hardness of water containing Mg(HCO3)2=8mg/L; Ca(HCO3)2=17mg/L; MgCl2=9.2mg/L; CaSO4=13.2mg/L.

4. a) What is zeolite and explain zeolite process of water softening. 7M b) Explain the lime soda process.

Unit – III

5. a) Write critical notes on vulcanization of rubber and explain the process of vulcanization. 7M

b) Explain the synthesis and mention any two applications of the following polymers: i. Polyethelene ii. BUNA–S

6. a) What are the requisites of refractory material or essential requirements of good refractory? 7M

b) What is Portland cement? Explain the manufacture of port land cement.

Unit – IV

7. a) What are secondary fuels? Write the classification and good characteristics of fuels. Mention their uses.

b) A sample of coal was found to contain the following: C=85%; H=5%; O=1%; N=2%, remaining being ash. Calculate the amount of air required for complete combustion of 1kg of coal sample.

8. a) Describe the process of refining of petroleum. 7M b) Explain the analysis of flue gas by Orsat’s method.

Unit – V

9. a) What are colloids? Mention the properties and industrial applications of colloids. 8M

b) Discuss in detail the phase diagram of lead-silver system and explain the eutectic point, its

characteristics and uses. 7M

Cont…2

:: 2 ::

10. a) Define the following terms with example: i. Phase ii. Component iii. Degree of freedom

b) Distinguish between physical and chemical adsorption. 7M

PROBABILITY THEORY AND NUMERICAL METHODS (Common to Electronics and Communication Engineering, Mechanical Engineering &

Civil Engineering) Date: 07 June, 2018 Time: 3 hours Max Marks: 75

Unit – I

1. a) Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If a marble is drawn from each box, what is the probability that they are both of same color?

b) In a bolt factory, machines A,B,C manufacture 25%,35% and 40% of the total and of their output 5%, 4%,2% are defective bolts. A bolt is drawn at random from the product and is found to be defective. What are the probabilities that it was manufactured by: i. machine A ii. machine B iii. machine C

2. a) A husband and wife appear in an interview for two vacancies in the same post.

The probability of husband’s selection is 1

7and that of wife’s selection is

5. What

is the probability that: i. Both of them will be selected ii. Only one of them will be selected iii. None of them will be selected

b) The probabilities that students A, B, C, D solve a problem are 1 2 1

, ,3 5 5

respectively. If all of them try to solve the problem, what is the probability that the problem solved?

Unit – II

3. a) A random variable x has the following probability function:

x 0 1 3 4 5 6 7 y 0 k 2k 2k 3k 2

k 27k k

Find: i. k

ii. 6P x

iii. 0 5P x

b) In a sample of 1000 cases the mean of a certain test is 14 and standard deviation is 2.5. Assuming the distribution to be normal, find: i. How many students score between 12 and 15 ii. How many score above 18 iii. How many score below 18

Cont…2

4. a) Suppose 2% of the people on the average are left handed. Find: i. The probability of finding 3 or more left handed ii. The probability of finding none or one left handed

b) A continuous random variable has the probability density function:

, 0, 0

xkxe for xf x

otherwise

Determine: i. k ii. Mean iii. Variance

Unit – III 5. a) Using the Regula-Falsi method, find a real root of the equation cos 3 1x x that

lies between 0.5 and 1. 7M

b) Find the missing terms in the following table:

x 1 2 3 4 5 6 7 y 103.4 97.6 122.9 ? 179 ? 195.8

6. a) Find a real root of 102 log 7x x correct to three decimal places using iteration

method. Take 0 3.8.x

b) Using Lagrange’s interpolation formula, find (11)f from the following data:

x 2 5 8 14

f x 94.8 87.9 81.3 68.7

Unit – IV

a) Evaluate 1

x by using Simpson’s 1/3 rule taking six equal strips.

b) Fit a straight line y a bx for the following data:

x 0 1 2 3 4 y 1 2.9 4.8 6.7 8.6

a) Using Simpson’s 3/8th rule, evaluate 0.3

1 8 ,x dx taking 7 ordinates

b) Fit a parabola 2y a bx cx for the following data:

x 0 1 2 3 4 y -4 -1 4 11 20

Unit – V

a) Solve 2 ,y x y 0 1,y using Taylor’s series method and compute

0.1 , 0.2 .y y

b) Apply Runge kutta method of fourth order to find value of (0.2)y

given that 2 2

2 2, (0) 1

dy y xy

dx y x

a) Using Euler’s method solve for y at 2x from 23 1,

dx 1 2y taking:

i. 0.5h ii. 0.25h

b) Given 1

dx and 0 1,y 0.1 1.0025,y 0.2 1.0101,y 0.3 1.0228.y

Compute 0.4y by Adams-Bashforth method.

ELECTRONIC DEVICES AND CIRCUITS (Common to Computer Science and Engineering, Information Technology,

Electronics and Communication Engineering & Electrical and Electronics Engineering) Date: 09 June, 2018 Time: 3 hours Max Marks: 75

Unit – I

1. a) Define a PN junction diode. Illustrate the operation of PN junction diode with its V-I characteristics.

b) The saturation current of a PN junction Ge diode is 250μA at 300oK. Find the voltage that must be applied across the junction to cause a forward current of 10mA to flow.

2. a) What is Hall-Effect in semiconductors? Explain its origin and significance. Deduce expression for Hall-Coefficient.

b) A silicon diode has a reverse saturation current of 7.12nA at room temperature of 27oC. Calculate its forward current if it is biased with a voltage of 0.7V.

Unit – II

3. a) What is a rectifier? Interpret the need of rectification and illustrate the operation of half wave rectifier with its input and output waveforms.

b) A 220V, 50Hz AC voltage is applied to the primary of 4:1 step down transformer

which is used in bridge rectifier having a load resistance of 1K. Assuming diodes are ideal, determine: i. DC output voltage ii. PIV of each diode iii. Output frequency

4. a) What is a Zener diode? Explain the construction, working and VI characteristics of Zener diode.

b) A full wave rectifier produces an RMS voltage of 10V from a 50Hz line source and

feeds a resistive load of 1100Ω. If the filter uses a capacitance C=50F. Find: i. DC voltage ii. Ripple output voltage

Unit – III

5. a) Illustrate the common base configuration of BJT with relevant figures and explain its input and output characteristics.

b) A transistor operating in CB configuration has IC = 2.98mA, IE = 3.0mA and ICO = 0.01mA. What current will flow in collector circuit of that transistor when connected in CE configuration and base current is 30µA.

6. a) Compare the salient features of JFET with Bipolar Junction Transistor. 8M b) Compare and contrast JFET with MOSFET? Draw the symbols of MOSFETs.

Cont…2

Unit – IV

7. a) What is ‘thermal runaway’ of the transistor? Illustrate thermal resistance and condition for thermal stability with suitable expressions.

b) For the circuit shown in Fig.1 below using silicon transistor with β = 50, find its

operating point.

8. a) What is DC load line? Explain how to choose operating point on its DC load line. 8M b) Sketch the circuit diagram of fixed bias N-channel JFET and obtain its operating

point. 7M

Unit – V

9. a) Explain the analysis of a transistor amplifier in common base configuration. 8M b) A transistor connected as a CE amplifier is driving a load of 10kΩ. It is supplied

by a source of 1kΩ internal resistance. The hybrid parameters of the transistors

used are hie=1100Ω, hfe=50Ω, hre=2.5x10-4

, hoe=1/40kΩ. Find current gain,

voltage gain, input impedance and output impedance.

10. a) Write a short note on common source JFET amplifier. 8M b) List the advantages of h-parameters and show that how they can be obtained from

the static characteristics of a transistor. 7M

ENGINEERING MECHANICS-II (Common to Mechanical Engineering & Civil Engineering)

Date: 02 June, 2018 Time: 3 hours Max Marks: 75

Unit – I

1. a) A projectile is fired at an angle of alpha with respect to horizontal with an initial velocity of u. derive the expressions for time of flight t and horizontal range R.

b) A projectile is fired with an initial velocity of 40m/sec, at an angle of 250, with the horizontal ground. Determine the time of flight, maximum height attained and horizontal range of the projectile on the ground.

2. a) An automobile is decelerating from a speed of 65kmph at the rate of 1.5m/sec2. How long will it take for it to come to rest and how far would it have moved before stopping?

b) A stone is thrown vertically upwards with an initial velocity of 6m/s. it returns to earth in 5seconds. Determine how high does it go in air.

Unit – II

3. a) State and explain D’Alemberts principle. 7M b) Explain analysis of rigid body in translation with an example.

4. Two blocks A and B of weight 40N and 60N respectively, rest on an inclined plane of

angle 300 to the horizontal. The distance between the blocks is 18m. The coefficient of

friction under the upper block A is 0.20 and that under the lower block B is 0.40.

Compute the required time before the blocks touch. After they touch and move as a

unit, what will be the contact force between them?

Unit – III

5. a) A vehicle of weight 2500kN is moving up a slope of 1 in 100 at a uniform speed

of 40kmph. Find the power exerted by the engine if the frictional resistance

is 5N per kN of vehicle.

b) An electric motor is used to rotate a hoisting drum which winds up a heavy

uniform cable of length 10m and weight 600N. The cable hangs vertically down

from the drum as shown in figure. What is the work done?

Cont…2

6. a) State and explain the principle of conservation of energy. 8M

b) With a neat sketch, explain the work done by the force of gravity.

Unit – IV

7. a) Prove that the total change in momentum of a particle during a time interval is equal to the impulse of the force during that interval.

b) State and prove the law of angular momentum.

8. a) A ball of mass 60kg moving with a velocity of 5m/s collides directly with a stationary ball of mass 20kg. If the two balls get stuck together after the impact, what is their common velocity? What is the loss of Kinetic energy due to impact?

b) A ball of mass 40 kg moving with a velocity of 8m/s strikes directly another ball of mass 30kg moving in the opposite direction with a velocity of 10m/s. if the coefficient of restitution is 0.75, what is the velocity of each ball after impact?

Unit – V

9. a) Define the following: i. Free and forced vibration ii. Damped and Un-damped vibration iii. Degrees of freedom

b) A harmonic motion has a maximum velocity of 6m/s and it has a frequency of 12Hertz. Determine its amplitude, its period and its maximum velocity and its maximum acceleration.

10. What are the characteristics of Simple Harmonic Motion (SHM)? Obtain the expression for maximum displacement, maximum velocity and maximum value of acceleration of SHM.

BASIC ELECTRONICS (Mechanical Engineering)

Unit – I 1. a) With neat circuit diagram illustrate the operation of bridge rectifier with capacitor filter

and mentions its advantages and drawbacks. 8M

b) A sinusoidal wave of v = 600 sin 30t is applied to a half wave rectifier. The load resistance is 2KΩ and forward resistance of the diode is 60Ω. Find: i. D.C current through the diode ii. AC or rms value of current through the circuit iii. The D.C output voltage iv. The A.C power input v. The D.C power output vi. Rectifier efficiency

2. a) Explain the working of a centre-tap full-wave rectifier, with a neat circuit diagram and waveform.

b) Explain briefly the PN junction diode characteristics.

Unit – II

3. a) Sketch the transistor input and output characteristics of CE configuration and briefly explain the three regions of operations.

b) Derive the relationship between α and β. Find the value of IC and IE for a transistor, given that α = 0.96 and IB = 110µA. Also Calculate the β of the transistor.

4. a) Draw circuit Collector Feedback Bias, analyze the circuit and hence determine IC and VCE. 8M b) For the fixed-bias circuit, IB = 40µA, VC = 6V and VCC = 12V.Draw the circuit of fixed bias and

determine: i. Collector Current, IC ii. Collector resistance, RC iii. Base resistance , RB iv. VCE.

Assume β = 80 and VBE = 0.7V.

Unit – III

5. a) Derive the equation for voltage gain, current gain, input impedance and output admittance for a BJT using h-parameter model for Common Emitter Configuration.

b) A transistor connected as a CB amplifier is driving a load of 10K. It is supplied by a source of 1K internal resistance. The h-parameter of the transistor used are hib=22Ω, hfb = -0.98, hrb=2.6 X 10-4, hob = 1MΩ. Find: i. Current Gain ii. Voltage Gain iii. Input impedance iv. Output impedance

6. a) With a neat diagram, analyze the h-parameter model of BJT in CC configuration. 7M b) Using simplified h-parameter model obtain CC h-parameters in terms of CE h-

parameters. 8M

Cont…2

:: 2 ::

Unit – IV

7. a) Derive the expression for Rif and Rof in voltage series feedback amplifier. 8M b) List the merits of Hartley oscillator. In Hartley oscillator L1=2mH, L2=20µH and capacitance

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

8. a) With neat circuit diagram explain the working of Heartly oscillator. 7M b) Sketch neat figures of the block diagrams of the different types of feedback circuits with

relevant expressions for each.

Unit – V

9. a) Write the symbol, truth table and final expression for NAND, NOR and EX-OR gate (For two I/P’s).

b) Perform the following conversions: i. 1234.56)8 = (?)10 ii. 10110101001.101011)2 = (?)16 iii. (988.86)10 = (?)2

10. a) Discuss the properties of Boolean algebra. 8M b) i. Perform the subtraction. 10101001(2)-10010011(2) using 1’s and 2’s complement

methods ii. Simplify the following Boolean expression and realize the circuit using logic gates.

Y=a+a’b+(a’+b)(a+b’)+bc iii. Convert (5A9.B4)16 to binary

BASIC ELECTRICAL ELECTRONICS ENGINEERING (Civil Engineering)

Unit – I 1. a) State and explain:

i. Ohm’s law ii. Faraday’s laws of electromagnetic induction

b) Find the current flowing through the 2Ω resistor.

2. a) Define the following terms: i. Power ii. Current iii. Potential Difference iv. Resistance

b) Find the total current flowing through the circuit.

Unit – II

3. a) Derive an expression to find the average value and RMS value of a sinusoidal signal.

b) In a series RL circuit, the current and the voltage are expressed as

2314sin5)(

and Vttv

5314sin20)(

i. Find the total impedance of the circuit ii. What would be the value of phase angle

4. a) Define the following terms: i. Instantaneous value of an alternating quantity ii. Form factor iii. Peak factor

b) Two impedances 1 (10 15)Z j and

2 (6 8)Z j are connected in parallel across a

single phase AC supply. The total current flowing through the circuit is 15A. Find: i. Total impedance ii. Supply voltage iii. Current in each branch

Cont…2

Unit – III

5. a) State and explain maximum power transfer theorem with a suitable example. 9M b) Briefly explain:

i. Working principle of moving iron instruments ii. Applications of a CRO

6. a) Explain the working principle of PMMC instruments. Mention its advantages and disadvantages.

b) Apply the principle of super position theorem to the network shown in Fig.3 to find out the current in all the resistors.

Unit – IV

7. a) Define the following terms: i. Dynamic resistance of a PN junction diode in forward biased condition ii. Diffusion capacitance (CT) iii. Static resistance

b) A half wave rectifier uses a diode with forward resistance of 100Ω. If the input AC voltage is 220V (RMS) and the load resistance is 2kΩ, determine: i. Peak Current ii. Average value of the current iii. RMS value of the current iv. Peak Inverse Voltage when the diode is ideal v. Load Output Voltage vi. DC Output power and AC Input power vii. Ripple factor viii.TUF ix. Rectification efficiency

8. a) Draw the circuit diagram of a Bridge rectifier and explain its operation with suitable waveforms.

b) With neat sketches, explain the VI characteristics of a PN junction diode.

Unit – V

9. a) Explain the common emitter configuration of an npn transistor. Mention the reason of wide use of such a configuration in amplifier circuits.

b) Explain the operation of a pnp transistor.

10. a) Explain the various types of transistor configurations. 6M b) Explain the operation of an npn transistor. 9M

DATA STRUCTURES (Common to Computer Science and Engineering, Information Technology, Electronics and

Communication Engineering & Electrical and Electronics Engineering) Date: 02 June, 2018 Time: 3 hours Max Marks: 75

Unit – I 1. a) Write a C program to find sum of first n natural numbers using recursion. Note: Positive

integers are known as natural number i.e. 1, 2, 3....n. 6M

b) Discuss the concept of Fibonacci search. Write an algorithm for the same. 9M 2. a) What is direct and indirect recursion? Demonstrate them with examples. 7M b) Given a sorted array arr[] of n elements, write a recursive function to search a given

element x in arr[] using binary search method. 8M

Unit – II

3. a) Write merge sort algorithm and Illustrate the process of sorting 5, 8, 3, 9, 1, 2 using merge sort algorithm.

b) Consider the following bubble sort routine, a small improvement can be made if each pass you keep track of whether or not an element was swapped. If not, you can safely assume the list is sorted. A second optimization can be made if you realize that at the end of the i-th pass, the last i numbers are already in place. Consider the sequence 3, 9, 1, 7. After the first pass, the 9 will end up in the final position; we need not consider it on subsequent passes. Rewrite the code which incorporates these modifications. void bubblesort( int * a , int n ) int temp; //for swapping for ( int i = 0 ; i < n - 2 ; i++) for (int j = 0 ; j < n - 1 ; j++) if ( a[j] > a[j + 1] ) temp = a[j]; a[j]=a[j + 1]; a[j + 1] = temp;

4. a) Explain how 5, 1, 4, 2, 8, 3, 0, 6, 10 is sorted using bubble sort. Write the time complexity of bubble sort.

b) Write a C program to implement the quick sort. Write the time complexity of quick sort.

Unit – III

5. a) What is Queue? Illustrate the primitive operations of Queue with suitable examples. 6M b) Write C functions to implement PUSH, POP and DISPLAY operations on stack using

arrays. 9M

Cont…2

:: 2 :: 6. a) What is De-queue data structure? 5M b) Create a data structure two Stacks that represents two Stacks. Implementation of two

Stacks should use only one array, i.e., both stacks should use the same array for storing elements. Following functions must be supported by two Stacks. push1(int x) –> pushes x to first stack push2(int x) –> pushes x to second stack pop1() –> pops an element from first stack and return the popped element pop2() –> pops an element from second stack and return the popped element Write definitions for the aforementioned functions.

Unit – IV

7. a) Write a function to delete a given node in a doubly linked list. 7M b) Given a linked list and two integers M and N. Traverse the linked list such that you retain

M nodes then delete next N nodes, continue the same till end of the linked list. Write a c function for the same. Input: M = 2, N = 2 Linked List: 1->2->3->4->5->6->7->8 Output: Linked List: 1->2->5->6 Input: M = 3, N = 2 Linked List: 1->2->3->4->5->6->7->8->9->10 Output: Linked List: 1->2->3->6->7->8 Input: M = 1, N = 1 Linked List: 1->2->3->4->5->6->7->8->9->10 Output: Linked List: 1->3->5->7->9

8. a) Write a C programme to create a single linked list. Write functions to do the following operations: i. Insert a new node at the end ii. Delete the first node

b) What is circular linked list? How is different from linear linked list? 6M

Unit – V

9. a) A node is a leaf node if both left and right child nodes of it are NULL. Write a C program to count leaf nodes in a binary tree.

b) Consider the following algorithm maxDepth() i. If tree is empty then return 0 ii. Else I. Get the max depth of left subtree recursively i.e., call maxDepth( tree->left-subtree) II. Get the max depth of right subtree recursively i.e., call maxDepth( tree->right-subtree) III. Get the max of max depths of left and right subtrees and add 1 to it for the current node. max_depth = max(max dept of left subtree, max depth of right subtree) + 1 IV. Return max_depth Trace the execution of the recursive function maxDepth() for the following tree.

Cont…3

:: 3 ::

10. a) Describe Depth-First and Breath-First Traversal methods for graphs. 6M b) Consider the following tree:

List out in-order, pre-order, post-order traversals of the above tree and specify the algorithms.

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