vardhaman college of engineering · the isometric projection of their combination. 15m 6. a...

Hall Ticket No: Question Paper Code : A2304

VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS)

B. Tech II Semester Supplementary Examinations, May - 2016 (Regulations: VCE-R14)

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

Date: 30 May, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. A Square Prism, base sides 40mm, axis 80mm long rests on its base on HP and its faces are

equally inclined to the VP. It is cut by a section plane inclined at 600. to HP and perpendicular to VP and passes through a point on the axis, 55mm above the base. Draw the Front View, Sectional top View and True shape of the section.

15M

2. A Hexagonal Pyramid of sides of base 35mm and height 65mm is resting on HP on its base with two of the base sides perpendicular to VP. The pyramid is cut by a plane inclined at 600. to HP and perpendicular to VP and intersecting the axis at 30mm above the base. Draw the Development of lateral surface of Truncated Pyramid.

15M

Unit – II

3. A Vertical Square Prism, base 50mm sides, is completely penetrated by a Horizontal Square Prism, base 35mm sides so that their axes intersect. The axis of the horizontal prism is parallel to the VP, while the faces of the two prisms are equally inclined to VP. Assume suitable lengths for the prisms. Draw the projections of the solids showing lines of intersection.

15M

4. A Vertical cylinder of 60mm diameter is penetrated by another cylinder 40mm diameter. The axis of the penetrating cylinder is parallel to the VP and bisects the axis of the vertical cylinder, making an angle of 600 with it. Draw the projections showing the curves of intersection. Assume suitable lengths for cylinders.

15M

Unit – III

5. A frustum of a cone 25mm top face diameter & 50mm base diameter is placed centrally on a cylindrical block of 75mm diameter & 25mm thickness such that their axes are coaxial. Draw the isometric projection of their combination.

15M

6. A cylinder of base diameter 60mm & height 70mm rests with its base on HP. A section plane perpendicular to VP and inclined at 450 to HP cuts the cylinder such that, it passes through a point on the axis 50mm above the base. Draw the isometric projection of the truncated cylinder showing the cut surface.

15M

Cont…2

:: 2 ::

Unit – IV

7. The three views of a machine part are shown in Fig.1 below. Draw the isometric view of the part. All dimensions are in mm.

Fig.1

15M

8. Draw the elevation, plan and side view of the part as shown in Fig.2 below. (All the dimensions are in mm.)

Fig.2

15M

Unit – V

9. A Rectangular Prism, base sides 30mm x 20mm and height 15mm is lying on the ground plane on one of its largest faces. A vertical edge is in the picture plane and the longer face containing that edge makes an angle of 300 with the picture plane, 30mm above the ground plane and lies in central plane which passes through the centre of the block. Draw the perspective view of the block.

15M

10. Draw the perspective view of a pentagonal prism, lying on the ground plane on one of its rectangular faces, the axis being inclined at 300 to the picture plane and corner of the base touching the picture plane. The station point is 65mm in front of the picture plane and lies in a central plane which bisects the axis. The horizon is at the level of the top edge of the prism. The prism has sides of base 20mm and axis 40mm long.

15M



B. Tech II Semester Supplementary Examinations, May/June - 2016 (Regulations: VCE-R14)

MATHEMATICS-II (Common for All Branches)

Date: 01 June, 2016 Time: 3 hours Max Marks: 75


Unit – I

1.

a) Reduce matrix

133

4124

393

131

to echelon form and hence find the rank.

7M

b) Verify ‘Cayley-Hamilton’ theorem for the matrix

1 22 1

A

hence find 1A .

8M

2. a) Test the following system of equations for consistency, hence solve if consistent: 2 2 4 3 9, 2 2 6, 2 2 2 3, 2x y z u x y z u x y z u x y u

7M

b) Define Hermitian and Skew-Hermitian matrices. Verify whether

2535572

3521

iiii

iiA is Hermitian or not? If Hermitian compute the

corresponding skew-Hermitian matrix.

8M

Unit – II

3.

a) Find the nature, index and signature of the quadratic form 1 2 1 3 2 38 2 2x x x x x x .

7M

b) Find the eigenvalues and eigenvectors of the matrix 8 42 2

.

8M

4. Reduce the quadratic from 1 2 1 3 2 32 2 2x x x x x x to a canonical form by an orthogonal reduction. Find its nature and the modal matrix.

15M

Unit – III

5. a) Form the partial differential equation by eliminating the arbitrary functions form 1 2 z x f x t f x t

7M

b) Solve u

yu

xu 22

2

by the method of separation of variables.

8M

6.

a) Solve the nonlinear PDE : 2– – –x y px qy p q

7M

b) Use the method of separation of variables to solve

3 2 0 with ( ,0) 4 xu u u x ex y

8M

Cont…2

:: 2 ::

Unit – IV

7. a) Obtain the Fourier series of the function ( )f x x over the interval ( , ) .

7M

b) Find the half range cosine series of function

1 1, 04 2( )

3 1, 14 2

x xf x

x x

8M

8.

a) Obtain the half range sine expansion of 2( )f x x over the interval (0, ).

7M

b) Expand xy e as a Fourier series in the interval ( , ).l l

8M

Unit – V

9.

a) Find the Fourier transform of

axifaxifx

xf0

2

7M

b) Using Fourier sine transform of ( 0)axe a show that akedx

xakxx

2

sin

022

. Hence

obtain the Fourier cosine transform of 2 2 .xa x

8M

10.

a) State convolution theorem and hence find

2

1 .3 2

zZz z

7M

b) Obtain the z-transform of sin 2t and hence find the z-transform e sin 2t t .

8M

Hall Ticket No: Question Paper Code: A2002

VARDHAMAN COLLEGE OF ENGINEERING

(AUTONOMOUS) B. Tech II Semester Supplementary Examinations, May - 2016

(Regulations: VCE-R14)

ENGINEERING PHYSICS

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

Date: 20 May, 2016 Time: 3 hours Max Marks: 75 Answer ONE question from each Unit

All Questions Carry Equal Marks

Unit – I

1. a) Explain the terms Bravais Lattice, Lattice points, Basis, unit cell, primitive cell and crystal translation vector.

6M

b) What are Miller indices? Obtain an expression for interplanar spacing of a cubic crystal interms of Miller indices.

9M

2. a) Explain Rotating Crystal Method of X-ray diffraction in detail. 8M b) First order Bragg reflection occurs when a monochromatic X-ray beam of wavelength

0.675A0 is incident on a crystal at a glancing angle of 4051l. What is the glancing angle for the third order Bragg’s reflection to occur?

7M

Unit – II

3. a) Describe Davission and Germer’s experiment and explain how it enabled verification of the deBroglie’s equation.

9M

b) A quantum particle confined to one dimensional potential box of width ‘a’ is in its excited state. What is the probability of finding the particle over an interval of (a/2) marked symmetrically at the centre of the box.

6M

4. a) Why different LED’s have different colours? Describe with the help of a circuit diagram the forward and reverse bias characteristics of p-n junction diode.

9M

b) Calculate the energy band gap in eV for a recombination radiation having wavelength of 700nm.

6M

Unit – III

5. a) Explain in detail the importance and significance of the following: i. Surface to volume ratio ii. Bottom-up and top-down approaches in Nanotechnology

9M

b) Discuss brief applications of Nanomaterials.

6M

6. a) Describe in brief the various types of Polarization. 8M b) Describe properties of ferroelectric materials. The polarizability of Ne gas is 0.35x10-40 m2.

If the gas contains 2.7x1025 atoms/m3 at 0°C and 1 atmospheric pressure, calculate its relative dielectric constant.

7M

Unit – IV

7. a) Give the characteristic properties of dia, para and ferromagnetic materials. 9M b) Briefly describe hysteresis loop and state the idea behind choosing to plot M versus H.

6M

8. a) What is Meissner effect? Explain the validity of Meissner effect in Type-I and Type-II Superconductors.

9M

b) What are Cooper pairs? Explain its formation leading to Superconductivity.

6M

Cont…2

:: 2 ::

Unit – V

9. a) Describe the construction and working of a Semiconductor Laser. 9M b) The average output power of laser source emitting a laser beam of wavelength 6328Å is

5mW. Find the number of photons emitted per second by the laser source. 6M

10. a) What is numerical aperture? Obtain an expression for numerical aperture in terms of refractive indices of core and cladding and then arrive at the condition for propagation.

9M

b) Mention the factors contributing to the attenuation of signal in optical fiber. The attenuation of light in an optical fiber is estimated at 2.2dB/km. What fractional initial intensity remains after 8km?

6M




TECHNICAL ENGLISH (Common to Electronics and Communication Engineering, Mechanical Engineering &

Civil Engineering) Date: 20 May, 2016 Time: 3 hours Max Marks: 75


Unit - I 1. a) What does the writer tell us to show that while young people in Ladakh’s towns prefer

western ways of entertainment, people in rural areas continue to enjoy their old, local forms of my music and sports?

10M

b) Do as directed: i. Write antonym for the word: Compliment ii. Write the synonym for the word: Scared iii. Choose the appropriate preposition: Everything in this store is ____ sale. iv. Choose the appropriate homophone: Can you lend me ______ (some, sum)

amount of money v. Correct the error: I shall see the brakes whether they work well

5M

2. a) What did Mother Teresa mean by the expression ‘a beautiful death’? 10M b) Do as directed:

i. Write antonym for the word: Expand ii. Write the synonym for the word: Unhappy iii. Choose the appropriate word: The horse that I ________( road, rode) on was very

fast iv. Choose the appropriate preposition: The bus will stop here _____ 5:45p.m v. Correct the error: I drink almost always coffee in the afternoon

5M

Unit - II 3. a) How did the writer happen to make a shocking discovery about Miss Krishna? 10M b) Do as directed:

i. Write the antonym of the word: Discipline ii. Write the synonym of the word: Heritage iii. Identify the gerund in the sentence: I don’t support booking a ticket on a holiday iv. Identify the infinitive phrase in the sentence: They went to visit an old aunt in

Mumbai v. Underline the noun phrase in the sentence: I want to stay in a hill station for a few

months

5M

4. a) How according to Pitroda can IT impact the nation? 10M b) Do as directed:

i. Write the antonym of the word: Reverence ii. Write the synonym of the word: Abolish iii. Identify the demonstrative in the sentence: We were able to replant the coconut

sapling from his front yard to the backyard iv. Identify the infinitive in the sentence: I have to attend to the needs of the special

invites v. Underline the noun phrase in the sentence: I want to attend a lecture – demo on

dance

5M

Cont…2

::2::

Unit - III 5. a) What do film makers in India usually do in order to find extras? 10M b) Do as directed:

i. Write the meaning of the word: Indicate ii. Use the suitable adverb in the sentence: I _______ (absolutely, absolute) refuse to

stay here any longer iii. Use the appropriate conjunction: They didn't go to the party, and _______ did I. iv. Use this idiom in your sentence: a storm in a tea cup v. Use the correct verb: He seems to forget that there _______ (is, are) things to be

done before he can graduate

5M

6. a) Give a detailed sketch of the speech made by Martin Luther King. 10M b) Do as directed:

i. Write antonym for the word: Conceal ii. Write the synonym for the word: Forbid iii. Spot the error and correct the sentence: He was in great need for affection iv. Use this idiom in your sentence: to run like a clockwork v. Use the appropriate verb: Three-quarter of the students ________ (is, are) against

the tuition fee hike

5M

Unit - IV 7. a) Describe the relief measures taken at Cuddalore when Tusnami hit it. 8M b) Draft a reply to loan application from Bank of Hyderabad, to a loan applicant seeking

housing loan. Provide all the details.

7M

8. a) You are applying for the post of Senior Systems Engineer in Bosch, Pune. You have the qualification, experience needed for the post. Prepare a Curriculum Vitae suitable for the post in detail.

8M

b) Write one-word substitute for the following descriptions: i. Fear of water ii. Study of stamps iii. Specialization in the study of eyes iv. Study of butterflies v. System of having many husbands vi. Women dominated society vii. Study of rocks

7M

Unit - V 9. a) What are the major sources of tension today, according to Obama? 8M b) Being a reporter of the New York times, write a report on Declining rupee value.

7M

10. The Rotary Club, Bangalore has invited you to speak on 'Gender equality'. The participants are drawn from different colleges. Draft a speech.

15M




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

Electrical and Electronics Engineering) Date: 23 May, 2016 FN Time: 3 hours Max Marks: 75


Unit - I 1. a) Explain the construction and working of Lithium cells with reactions during discharging.

Mention its applications. 7M

b) What are concentration cells? Calculate the emf of a concentration cell at 250C consisting of two cadmium electrodes immersed in solutions of Cd2+ ions of 0.1M and 0.01M concentrations. Write down cell reactions and representation of the cell.

8M

2. a) With rusting of iron as example, describe electrochemical theory of corrosion. 7M b) Write the cell representation, electrode reactions and calculate the voltage generated by

a cell that consists of a rod of iron immersed in 1.5 M solution of FeSO4 and a rod of manganese in 0.15M solution of MnSO4 at 25oC. Given: Eo

Fe2+

/Fe = -0.44 V and EoMn

2+/Mn = -1.18 V.

8M

Unit - II 3. a) With a neat diagram explain Zeolite process of softening hard water. Mention its

advantages 8M

b) An exhausted zeolite softener was regenerated by passing 150 litres of NaCl solution, having a strength of 150g/L of NaCl. If the hardness of water is 600ppm, calculate the total volume of water that is softened by this softener.

7M

4. a) Define the term desalination. Explain the desalination of water by Reverse Osmosis Process.

8M

b) Explain the following internal treatment methods: i. Colloidal conditioning ii. Calgon conditioning

7M

Unit - III 5. a) Distinguish between:

i. Thermoplastics and thermoset plastics ii. Addition polymerization and condensation polymerization. Give an example each.

8M

b) Identify and write the structure of monomer (s) used for the synthesis of: i. Teflon ii. Nylon iii. Buna-S Mention any one special property of each of these polymer and a suitable application.

7M

6. a) What are lubricants? How are they classified? Explain the properties of a good lubricant. 8M b) What are Insulators? Give their classifications with examples. Mention four qualities of

good thermal insulator. 7M

Cont…2

::2::

Unit - IV 7. a) Explain how is the percentage of moisture, volatile matter, fixed carbon and ash are

estimated by proximate analysis of coal? 8M

b) What are fuels? Give their classifications with examples. Mention any four qualities of a good fuel.

7M

8. a) With a neat diagram, explain the process of synthesis of petrol by Fischer-Tropsch process.

8M

b) A sample of coal was found to have the following percentage composition: C=75%, H=5.2%, O=12.8%, S=1.2%, N=3.7%and ash=2.1%. Calculate the minimum amount of air required for complete combustion of 1kg of coal.

7M

Unit - V 9. a) Draw the phase diagram for water system with labeling. Explain the salient features of

the phase diagram and calculate the number of degrees of freedom in area, on a line, at triple point.

8M

b) Phase rule equation, F=C-P+2 is not applicable to condensed systems. Justify. Draw a neat labeled diagram of lead-silver system and calculate the number of degrees of freedom on a line, in an area and at a point.

7M

10. a) Describe electrophoresis in colloids and discuss how electrophoresis is used in rubber industry and for smoke precipitation.

8M

b) What are colloids? Mention two natural and three industrial applications of colloids. 7M




PROBABILITY THEORY AND NUMERICAL METHODS (Civil Engineering)



Unit – I

1. a) Find the probability that at least two 9’s appear (as Sum) in four tosses of a pair of fair dice.

7M

b) Of 10 girls in a class, 3 have blue eyes. If 2 of the girls are chosen at random, what is the probability that: i. Both have blue eyes ii. Neither have blue eyes iii. At least one has blue eyes

8M

2.

a) A problem is given to four students A, B, C, D, whose chances of solving it are 12

, 13

, 14

and 15

respectively. Find the probability that the problem is solved.

7M

b) An office has 4 secretaries handling 20%, 60%, 15%,5% respectively of the files of certain reports. The probabilities that they misfile such reports are respectively 0.05, 0.1, 0.1 and 0.05. Find the probability using Baye’s theorem that a misfiled report is caused by the first secretary.

8M

Unit – II

3. a) The probability function of a random variable X is given by the following table

2 2 20 1 2 3 4 5 6 7

( ) 0 2 2 3 2 7x

P x k k k k k k k k

i. Find the value of k ii. Evaluate 3 5P X

iii. Evaluate 6P X

iv. Evaluate 6P X

7M

b) In sampling a large number of parts manufactured by a machine, the mean number of defective parts in a sample of 20 is 2. Out of 1000 such samples, how many would be expected to contain at least 3 defective parts.

8M

4. a) In a certain factory turning out razors blades, there is a small chance of 0.002 for any blade to be defective. The blades are supplied in packets of 10, use Poisson distribution to calculate the approximate number of packets containing: i. No defective ii. One defective iii. Two defective blades In a consignment of 10,000 packets

7M

b) In a certain examination, the percentage of candidates passing and getting distinctions were 45 and 9 respectively. Estimate the average marks obtained by the candidates, the minimum pass and distinction marks being 40 and 75 respectively.

8M

Cont…2

:: 2 ::

Unit – III

5. a) Find a real root of the equation 3 cos 1x x by Newton-Raphson method. 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 ? 179.0 ? 195.8

8M

6. a) Given f(40) = 184, f(50) = 204, f(60) = 226, f(70) = 250, f(80) = 276, f(90) = 304, find f(38) and f(85) using suitable interpolation formulae.

7M

b) Use Lagrange’s interpolation formula to fit a polynomial for the data x 0 1 3 4 y -12 0 6 12

8M

Unit – IV

7.

a) Compute 0f and 0.2f from the following tabular data.

x 0.0 0.2 0.4 0.6 0.8 1.0

f x 1.00 1.16 3.56 13.96 41.96 101.00

7M

b) A body is in the form of a solid of revolution and is 6 cm long. The following table gives the diameter D in cm of the section at distance x cm from the end. Find the volume of the solid.

Distance x 0 1 2 3 4 5 6 Diameter D 2 2.2 2.4 2.7 2.5 2.2 2

8M

8. a) Fit a parabola 2y a bx cx to the following data. x -3 -2 -1 0 1 2 3 y 4.63 2.11 0.67 0.09 0.63 2.15 4.58

8M

b) Evaluate the integral I = 1

20 1

dxx using trapezoidal rule taking

16

h .

7M

Unit – V

9.

a) Employ Taylor’s method to obtain an approximate value of 1.1y and 1.2y for the

differential equation logy xy given 1 2y .

7M

b) Using Euler’s modified method find the approximate value of 0.2y and 0.4y given xy y e , 0 0y . (Take 0.2h ).

8M

10. a) Apply Runge-Kutta method to find obtain an approximate value of y for 0.2x if 2 2

2 2

y xyy x

, 0 1y .

7M

b) Given 2 1y x y and 1 1y , 1.1 1.233y , 1.2 1.548y and

1.3 1.979y , evaluate 1.4y by Adams-Bashforth method.

8M




NUMERICAL METHODS (Common to Electronics and Communication Engineering & Mechanical Engineering)



Unit – I

1.

a) By using the false position method find the real root of the equation 3 3 4 0x x (carry out three iteration)

7M

b) Solve the system of equations 2 3 1,x y z 4 5 25,x y z 3 4 2x y z by using Gauss Jordan method.

8M

2.

a) Find the real root of the equation 4 10 0x x by Newton Raphson method. (correct to three decimal places)

7M

b) Apply the Gauss-Seidel iterative method to solve: 6 15 2 72,x y z 54 110,x y z 27 6 85x y z Take 1, 0, 0x y z as an initial approximation. Carry out three iterations.

8M

Unit – II

3.

a) Use Newton’s forward interpolation formula to estimate 16.4f from the following data:

x 16 18 20 22 24 f(x) 261.3 293.7 330 372.2 422.3

8M

b) Use Lagrange’s interpolation formula to find (10)f given: x 5 6 9 11 y 12 13 14 16

7M

4.

a) Use Stirling’s interpolation formula to obtain the value of 12.2f from the table

x 10 11 12 13 14 f(x) 0.2397 0.2806 0.3179 0.3521 0.3837

8M

b) Given 0 707u , 2 819u , 3 866u and 6 966u compute 4u using Lagrange’s interpolation formula.

7M

Unit – III

5. a) The following data gives the velocity of a particle for 20 seconds at an interval of 5 seconds.

t(seconds): 0 5 10 15 20 v(m/sec): 0 3 14 69 228

Find the initial acceleration using this data.

7M

b) Evaluate:

6

20

11

dxx by using Simpson’s 1/3rd rule with ‘h = 1’.

8M

Cont…2

:: 2 ::

6. a) The results of measurements of electric resistance ‘R’ of a copper bar at various temperatures ‘θ’ are listed below:

θ: 19 25 30 36 40 45 50 R: 76 77 79 80 82 83 85

Find a relation of the form R a b that fits the data.

7M

b) Obtain the normal equations to fit a parabola of the form 2y a bx cx for ( , )i ix y , 1,2,....,i n

8M

Unit – IV

7.

a) Given: ; 0.1 1.0916dy y x ydx y x

, find y at 0.2x using Euler’s modified formula

7M

b) Use Runge-Kutta method of fourth order to find y at 0.1x given that

3 2 ; 0 0 and 0.1xdy e y y hdx

8M

8. a) Obtain the Picard’s second approximation for the initial value problem

2

2 ; 0 01

dy x ydx y

. Find 1y .

7M

b) Given: 2 1dy x ydx

, 1 1, 1.1 1.233, 1.2 1.548, 1.3 1.979y y y y ,

evaluate 1.4y by Adam’s-Bash forth method.

8M

Unit – V

9. Solve 0xx yyu u for the following square mesh with the boundary values as shown in Fig.1. Carry out five iterations.

Fig.1

15M

10. Solve: t xxu u , for 0 5, 0x t , given ( ,0) 20, (0, ) 0, (5, ) 100u x u t u t . Compute

‘u’ for the time-step with h = 1 by Crank-Nicholson method 2 / 1c k h .

15M




ELECTRONIC DEVICES (Common to Electronics and Communication Engineering

& Electrical and Electronics Engineering) Date: 25 May, 2016 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) Derive the expression for Fermi-Level in case of intrinsic semiconductors. 7M b) Find the conductivity of intrinsic germanium at 300 degree K. If donor type impurity is

added to the extent of 1 impurity atom in 107 germanium atoms find the conductivity. Give that ni at 300 degree K is 2.5x1013/cm3 and n and n in germanium are 3800 and 1800 cm2/Vs respectively.

8M

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

10M

b) In a certain copper conductor the current density is 2.4A/mm2 and electron density is 5x1028 free electrons per m3 of the copper. Determine the drift velocity of the electrons.

5M

Unit – II

3.

a) Show that the reverse saturation current doubles for every 010 C rise in temperature for a diode.

8M

b) A silicon diode has a reverse saturation current of 7.12 n A at room temperature of 027 CCalculate its forward current if it is baised with a voltage of 0.7V .

7M

4. a) With the V-I characteristics and mathematical expressions, compare the features of ideal and practical diodes.

8M

b) Determine the built-in potential and the transition capacitance for a silicon p-n junction with NA = 1.2 x 1015 cm-3, ND = 1.5 x 1015 cm-3, A = 0.001 cm2, reverse bias = -2 Volts, ε = 1.04 x 10-12 F/cm and ni = 1.5 x 1010 cm-3 . Assuming VT=25mV.

7M

Unit – III

5. a) Draw and explain the construction and operation of a varactor diode. 7M b) A 220 V, 50 Hz 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

8M

Cont…2

:: 2 ::

6. a) Draw the circuit and explain the working of a bridge rectifier. Why it is preferred over a full-wave rectifier.

8M

b) For the circuit shown in Fig.1. Find: i. The output voltage. ii. The voltage drop across RS iii. The current through the Zener

Fig.1

7M

Unit – IV

7. a) Draw the circuit of transistor in the common emitter configuration. Sketch the input and output characteristics.

8M

b) Consider a transistor that has IC=3 mA and IE=3.03 mA calculate new current levels when the transistor is replaced with a new device that has β=75. Assume IB Constant.

7M

8. a) Explain the difference between enhancement mode and depletion mode MOSFETs. Sketch the cross sectional view of an Enhancement mode MOSFET. Explain its operation with characteristics.

8M

b) Explain the working of a Uni-Junction transistor (UJT) with an equivalent circuit and mathematical relations.

7M

Unit – V

9. a) Derive the expressions for the stability factor (SVBE) for: i. Fixed-bias configuration ii. Self-bias configuration

8M

b) For the fixed-bias circuit shown in Fig.2 determine the operation point, given that transistor gain β = 100, VBE = 0.7v and also draw the load line for the circuit.

Fig.2

7M

10. a) What is the thermal runway in transistor amplifier circuits? Explain. 9M b) For the self-bias circuit shown in the Fig.3 Determine the value of drain current (ID) and

gate-source voltage (VGS).

Fig.3

6M




ELECTONIC DEVICES AND CIRCUITS (Common to Computer Science and Engineering & Information Technology)

Date: 25 May, 2016 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) For diode, define: i. Forward voltage drop ii. Maximum forward current iii. Dynamic resistance iv. Reverse saturation current v. Reverse breakdown voltage

8M

b) The diode current is 0.6mA when the applied voltage is 500mV. Determine the value of

, assume q

KT=25mV. Given I0=0.1μA.

7M

2. a) Define voltage regulation. Draw a voltage regulator circuit with Zener diode, explain the working in brief.

7M

b) In a full wave rectifier with two diodes, derive the following: i. Idc ii. Irms iii. Ripple factor iv. Rectifier efficiency

8M

Unit – II

3. a) Draw the circuit of common base configuration and explain its output characteristics by indicating various regions on it.

8M

b) Define α and β of transistor, derive the relationship between them and also mention their importance with their typical values.

7M

4. a) Explain the construction and principle of operation of JFET with relevant diagrams. 10M b) Write the Schokley’s equation defining transfer characteristics of JFET and hence sketch

the transfer curve defined by IDSS=12mA and Vp= -6v from its drain characteristics.

5M

Unit – III

5. a) What is the need for transistor biasing? Explain self bias circuit and derive expression for stability factor.

6M

b) Determine the DC quiescent voltage VCE and the current IC for the self bias circuit with a silicon transistor with β=160. The circuit parameter values are VCC=22V, RC=10KΩ, RE=1.5KΩ, R1=39KΩ and R2=3.9KΩ.

9M

Cont…2

:: 2 ::

6. a) Explain self bias circuit using N-channel JFET. 7M b) Determine the following for the following network:

i. IDQ ii. VGSQ

iii. VD

iv. VS

v. VDS

vi. VDG

Fig.1

8M

Unit – IV

7. a) Describe hybrid equivalent model of two port system and define all the hybrid parameters.

8M

b) For the common base configuration determine Zi, Zo, Av and Ai. Given hfb=-0.99, hib=14.3Ω and hob=0.5µA/V.

Fig.2

7M

8. a) Draw the circuit of CB amplifier, obtain its hybrid model and derive expression for Ai, Av, Zi and Zo.

8M

b) For the CE amplifier, the h-parameter are given as hfe=50, hie=1.1kΩ, hre=2.5x10-4 and hoe=24µmhos. Calculate Ai, Ri, Av and Ro if RL=10kΩ and Rs=1kΩ.

7M

Unit – V

9. a) Derive expressions for input and output resistance of voltage series feedback amplifier. 8M b) i. If an amplifier has a bandwidth of 200KHz and a voltage gain Amid of 100, what will be

the new bandwidth and gain if 5% negative feedback is introduced? ii. What is the product of gain bandwidth before and after adding negative feedback in (i)?

7M

10. a) With the help of a circuit diagram, explain the working of a Wienbridge oscillator. Is it Audio frequency oscillator or RF oscillator?

8M

b) Calculate the frequency of oscillations of Colpitt’s oscillator having C1=2000pF, C2=1000pF and L=4mH. What should be the value of L if the frequency of oscillations is 140KHz?

7M




BASIC ELECTRONICS (Common to Mechanical Engineering & Civil Engineering)

Date: 25 May, 2016 FN Time: 3 hours Max Marks: 75


Unit – I

1. a) Describe the conditions established by applying forward- and reverse-biased voltage on a pn-junction diode and how the resulting current is affected.

8M

b) The sinusoidal voltage of peak value 40V and frequency 50Hz is applied to a halfwave rectifier. The load resistance is 800Ω and diode forward resistance is 8Ω. Neglecting the cut in voltage. Calculate: i. Idc ii. Irms iii. Pdc iv. Pac v. Rectifier efficiency

7M

2. a) Outline the behavior of Zener diode in both forward and reverse biased condition with circuit diagrams. Draw its I-V characteristic and list some of the applications of Zener diode.

9M

b) An a.c. supply of 230V is applied to a half wave rectifier circuit through transformer of turn’s ratio 5:1. Assume the diode is an ideal one. The load resistance is 300Ω. Find: i. dc output voltage ii. PIV iii. Average values of power delivered to the load iv. Maximum efficiency

6M

Unit – II

3. a) Draw the circuit diagram of a common base configuration. Explain the input and output characteristics of CB configuration.

7M

b) A fixed bias current has Vcc=16V, RB=470KΩ, Rc=27KΩ, β =90. Draw the DC load line and mark the Q point.

8M

4. a) With a neat diagram explain the input and output characteristics of NPN transistor in CE configuration.

7M

b) Determine the voltage VCE and the current Ic for the self bias circuit. Given, Vcc=22V, R1=39KΩ, R2=3.9KΩ, RE=1KΩ, Rc=10KΩ and β=160.

8M

Unit – III

5. a) Explain transistor as an amplifier in CE configuration. Carry out its small-signal analysis using the h-parameter model.

8M

b) In a Fixed bias circuit, RB=330KΩ, RC=2.7KΩ and VCC=8V. The h-parameters of the transistor have the values: hfe=120, hie=1.175KΩ, hoe=20µA/V. Draw the circuit and determine Zi, Zo, AV and AI.

7M

Cont…2

:: 2 ::

6. a) Considering a general two port network explain complete hybrid equivalent model. Derive the expressions for voltage gain, current gain, input and output impedance.

9M

b) Transistor amplifier in CE arrangement is shown in Fig.1. The h parameters of transistor are as follows: hie = 1500Ω; hfe = 50; hre = 4 × 10−4; hoe = 5 × 10−5 mho. Find: i. a.c. input impedance of the amplifier ii. Voltage gain iii. Output impedance

Fig.1

6M

Unit – IV

7. a) With the help of a circuit diagram, explain the working of a Wienbridge oscillator. Is it Audio frequency oscillator or RF oscillator?

8M

b) Calculate the frequency of oscillations of Colpitt’s oscillator having C1=2000pF, C2=1000pF and L=4mH. What should be the value of L if the frequency of oscillations is 140KHz?

7M

8. a) Derive expressions for input and output resistance of voltage series feedback amplifier. 8M b) i. If an amplifier has a bandwidth of 200KHz and a voltage gain Amid of 100, what will be

the new bandwidth and gain if 5% negative feedback is introduced? ii. What is the product of gain bandwidth before and after adding negative feedback in (i)

7M

Unit – V

9. a) Perform the following : i. (555.825)10 = ( )2 = ( )16 ii. (57.6)8 = ( )2 = ( )16

8M

b) Simplify and realize using logic gates. i. zyzxyzxyz

ii. F = CABABCCBABCA

7M

10. a) Perform the following : i. (777721)8 – (66342)8 using 7’s complement method ii. (E1082)16 – (5FF1)16 using 15’s complement method

8M

b) Simplify and realize the following by NAND gates only i. y = )( CBAABCA ii. F = ))(( CBACBC

7M




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

Electronics and Communication Engineering & Electrical and Electronics Engineering) Date: 27 May, 2016 Time: 3 hours Max Marks: 75


Unit - I 1. a) Write the classification of Data structures with an example for each type. 6M b) With a recursive function to find nth Fibonacci number, write a C program to find first n

elements of a Fibonacci series. Write recursive tree for computing 5th Fibonacci number.

9M

2. a) How linear recursion is different from binary recursion? Explain with an example for each. Write a recursive program to find factorial of a given positive integer.

10M

b) Write a C program to search a given element in an array using linear search technique.

5M

Unit - II 3. a) Write an algorithm to sort the elements of an array using quick sort technique and sort

the following set of elements using quick sort: 25 40 -6 10 15 20 65 5. 10M

b) Write a C program to sort elements of the array using bubble sort technique.

5M

4. a) Write an algorithm to sort the elements of a given array using selection sort technique and sort the following elements using the same. Write number of comparisons required in each pass: 67 89 53 -97 4 -32 3 40.

10M

b) Write an algorithm to sort the elements of an array using merge sort technique.

5M

Unit - III 5. a) Write a C Program to implement Stacks using arrays which should support the following

operations: i. PUSH ii. POP iii. DISPLAY

8M

b) A Circular Queue has size of 5 and has three elements 10, 40 & 20 where F=2 and R=4. After inserting 50 and 60 what is the value of F and R. Trying to insert 30 at this stage what will happen? Delete two elements from the queue and insert 100. Show the sequence of steps with necessary diagram and with the value of F and R.

7M

6. a) Evaluate the following Postfix expression and show the stack contents. ABC-D*+E*F+ with the following value assigned A=6, B=3, C=2, D=5, E=1, F=7.

8M

b) What is a queue? Explain different types of queue and what are the various operations that can be performed on queues.

7M

Unit - IV 7. a) Write a C program to create a singly linked list with the following features:

i. To insert a node at the beginning of the list ii. To delete all the occurrences of a given key element iii. To display the contents of the list

8M

b) Write a C program to add two polynomials using linked lists. 7M

Cont…2

::2::

8. a) Write C functions to implement the following operations on a Doubly linked list:

i. Store a string into the list ii. Delete a particular character from the list iii. Display the string

8M

b) Write a C program to implement linear queue operations using singly linked list.

7M

Unit - V 9. a) Give the Pre-order, In-order and Post-order Traversal for the tree shown below:

7M

b) Write the algorithm for Breadth-First Search with an example.

8M

10. a) What is a threaded binary tree? Explain with a suitable example. 10M b) Assume that you have been given code for depth first search. Write a C function to

check the connected components in graph using dfs(). 5M




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



Unit – I

1. a) Define the following terms: i. Kinetics ii. Kinematics

5M

b) On a straight road, a smuggler’s car passes a police station with a uniform velocity of 10m/s. After 10 seconds, a police party follows in pursuit in a jeep with a uniform acceleration of 1m/s2. Find the time necessary for the jeep to catch up with the smuggler’s car.

10M

2. a) An electric train starting from rest attains a maximum speed of 100kmph in 20 seconds. Determine: i. Its acceleration assuming it to be uniform, ii. Distance covered during this time period, and iii. Its velocity 15 seconds after staring from rest.

8M

b) A car covers 100m in 10 seconds, while accelerating uniformly at a rate of 1 m/s2. Determine: i. Initial and final velocities of the car, ii. Distance travelled before coming to this point assuming it started from rest, iii. Its velocity after the next 10 seconds.

7M

Unit – II

3. a) The speed of a truck moving at a constant speed of 30 m/s is reduced to 20 m/s in a distance of 200 m. Determine: i. The acceleration assuming it to be constant ii. The time taken. Also, determine the distance in which the truck can be brought to

a stop with the acceleration calculated in (i.)

8M

b) The driver of a car moving at a constant speed of 18kmph realizes that if he moves at this speed, he will reach the office late by 10 seconds. Hence, he accelerates at a constant rate of 2m/s 2 so that he reaches the office right in time. Determine the time taken to reach the office and the distance covered during this time.

7M

4. a) Explain the D ‘Alemberts’ principle with a neat sketch. 6M b) A man weighing wN, entered a lift which moves with an acceleration of a m/s2. Find the

force exerted by the man on the floor of lift when: i. Lift is moving downward ii. Lift is moving upward

9M

Unit – III

5. a) What are the advantages of Work–Energy method over Alembert’s method? Discuss. 5M b) A block of mass 10kg slides down an inclined plane with a slope angle of 350 to

horizontal. It is stopped by a spring of stiffness 1KN/m. If the block slides down 5m before hitting the spring then determine the maximum compression of the spring. The coefficient of friction between block and the plane is 0.15.

10M

Cont…2

:: 2 ::

6. a) State and prove Work–Energy principle. 5M b) A block of mass 5kg slides 4m down a 300 inclined plane from rest and enters a

horizontal plane. How far along the horizontal plane will it reach before coming to rest? The coefficient of kinetic friction between block and incline is 0.15 and between block and horizontal plane is 0.20. Solve using Work–energy principle.

10M

Unit – IV

7. a) A body of mass 50kg, moving with a velocity of 6m/s, collides directly with a stationary body of mass 30kg. If the two bodies become coupled so that they move on together after the impact, what is their common velocity?

5M

b) The coefficient of restitution between two spheres of masses 1kg and 5kg is 0.75. The sphere of mass 1kg, moving with a velocity of 3m/s, strikes the sphere of mass 5kg moving in the same direction with a velocity of 60cm/s. Find the velocities of the two spheres after the impact and also loss of kinetic energy during impact.

10M

8. a) Define the coefficient of restitution. Two bodies are having direct impact. Find an expression for the coefficient of restitution in terms of initial and final velocities of the two bodies.

7M

b) A ball dropped from a height of 1.6m on a floor rebounds to a height of 0.9m, find the coefficient of restitution.

8M

Unit – V

9. a) How a compound pendulum differs from simple pendulum? Derive an expression for the time period of a simple pendulum.

7M

b) A body moving with simple harmonic has amplitude of 1m and a period of oscillation of 2 seconds. What will be its velocity and acceleration 0.4 second and after passing an extreme position?

8M

10. a) Explain the terms: i. Amplitude ii. Simple Harmonic Motion iii. Frequency

6M

b) Find the velocity and acceleration after 0.3 seconds from the extreme position of a body, moving with simple harmonic motion with amplitude of 0.8m and period of complete oscillation of 1.6 seconds.

9M

vardhaman college of engineering · the isometric projection of their combination. 15m 6. a...

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