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Hall Ticket No: Question Paper Code: A3304

(AUTONOMOUS) B. Tech II Semester Supplementary Examinations, December - 2017

(Regulations: VCE-R15)

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

Date: 19 December, 2017 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1. A square prism of base side on 30mm and axis length 60mm is resting on HP on one of its bases, with a base side inclined at 30° to VP. It is cut by a plane inclined at l0° to HP and perpendicular to VP and is bisecting the axis of the prism. Draw its front view, sectional top view and true shape of section.

15M

2. A pentagonal pyramid of base side 40mm and axis length 80mm is resting on HP on its base with one of its base side parallel to VP. It is cut by a plane inclined at 30° to HP and perpendicular to VP and is bisecting the axis. Draw its front view, sectional top view, and the true shape of section.

15M

Unit – II

3. A vertical cone with diameter of base 90mm and axis 100mm long is penetrated by a horizontal cylinder of 50mm diameter. The axis of the cylinder intersects the axis of the cone at a point 30mm from the base. Draw the projections of the solid, showing the curves of intersection.

15M

4. A triangular prism with side of base 70mm is resting on one of its bases on HP and with a face perpendicular to VP. It is penetrated by a horizontal square prism of base 40mm side. The axes of the two solids intersect each other and a plane passing through the axes of the solids is parallel to VP. Draw the lines of intersection, when the faces of the square prism are equally inclined to HP.

15M

Unit – III

5. Draw the isometric view of square prism with a side of base 30mm and axis is 50mm long when the axis is vertical and horizontal.

15M

6. Draw the Isometric projection of the object shown in below Fig.1.

Fig.1

15M

Cont…2

:: 2 ::

Unit – IV

7. Draw the elevation, top view and side view of the following objects shown in Fig.2 below. All dimensions are in mm.

Fig.2

15M


Fig.3

15M

Unit – V

9. Draw 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.

15M

10. 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 corner 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. Draw the perspective projection.

15M




MATHEMATICS-II (Common for All Branches)



Unit – I

1.

a) Find the rank of the matrix

1110

1101

1321

1312

by reducing to an echelon form.

7M

b) Using Cayley-Hamilton theorem, find the inverse of A and 4A of the matrix

7 2 2

6 1 2

6 2 1

A

8M

2. a) Find the values of a and b so that the equations

2 3 5 9; 7 3 2 8; 2 3x y z x y z x y az b have

i. No solution ii. Unique solution iii. An infinite number of solutions

8M

b) Find the inverse of

0 1 2

1 2 3

3 1 1

A

using Gauss-Jordan method.

7M

Unit – II

3.

a) Find the Eigen values and the Eigen vectors of

0 0

0 0

0 0

i

A i

i

7M

b) Reduce 2 2 2

1 2 3 2 3 1 3 1 28 7 3 12 4 8x x x x x x x x x to canonical form and hence find its

rank, index, signature and nature.

8M

4.

a) Prove that the Eigen values of unitary matrix have absolute value 1.

5M

b) Diagonalize the matrix

1 1 3

1 5 1

3 1 1

A

by finding modal matrix and hence find 4A

10M

Unit – III

5. a) Form a partial differential equation by eliminating the arbitrary constants a, b and c from

the relation cxybyaxz

7M

b) Solve: yzxxyqpy 22

8M

Cont…2

:: 2 ::

6. a) Form a partial differential equation by eliminating the arbitrary function from the

relation 0, 2 zxyzyx

7M

b) Using the method of separation of variables, solve ut

u

x

u

2 where 3( ,0) 6 xu x e

8M

Unit – IV

7.

a) Expand the function 1 1

4 2

3 14 2

for 0( )

for 1

x xf x

x x

in a half range sine series.

7M

b) Find the Fourier series of the function xxf sin1)( in .11 x

8M

8.

a) Expand the function xxxf 2)( as a Fourier series in the interval 2,0

7M

b) Obtain the Fourier coefficients no aaa and, 1 for the function xxf cos)( in the

interval ,

8M

Unit – V

9.

a) Find the Fourier transform of 21 , 1

.0, 1

x xf x

x

Hence find the value of 3

0

cos sinx x xdx

x

8M

b) Find the Fourier Cosine Transform of 2

1

1 x

7M

10.

a) Using Z-transform , solve the difference equation 2 0 14 1, 1, 2n nu u n u u

8M

b) Find the inverse Z-transform of 42

203

3

zz

zz

7M




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

Electrical and Electronics Engineering) Date: 23 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) What are Miller indices? How are they obtained? Sketch the planes (110),(011),(002),(120).

8M

b) Show that for a simple cubic lattice d100:d110:d111= 6: 3: 2. Calculate atomic radius and interplanar spacing of (110) plane if lattice constant of f.c.c. is 3.61

0A.

7M

2. a) Explain Debye-Scherrer method of X ray diffraction. How is it useful to separate amorphous materials from the crystalline materials?

8M

b) A beam of X -rays is incidenting on a Nacl crystal of lattice spacing 0.282nm. Calculate the wavelength of X-rays if the first order Bragg’s reflection takes place at 8035’. Also calculate the maximum order of diffraction.

7M

Unit – II

3. a) By solving Schrodinger’s wave equation, obtain the normalized Eigen function for a particle in one dimensional potential well of infinite height using boundary conditions.

8M

b) Find the magnitude of potential difference required to accelerate an electron to have a de Broglie wavelength equal to 1.66 x 10-10m.

7M

4. a) Explain in detail intrinsic and extrinsic semiconductors. 8M b) Describe the p-n junction when it is forward biased and reverse biased.

7M

Unit – III

5. a) Explain the sol gel process of bottom up fabrication with neat sketch. 8M b) What are nanomaterials? Discuss the important applications of nanotechnology.

7M

6. a) Discuss the different types of polarizations mechanisms in dielectrics. 8M b) Define the terms dipole moment and dielectric constant. If a NaCl crystal is subjected to

an electric field of 1000V/m and the resulting polarization is 4.3x10-8C/m2, calculate the dielectric constant of NaCl.

7M

Unit – IV

7. a) Discuss the classification of magnetic materials. 8M b) What are ferromagnetic materials? Explain the hysteresis loop with B-H curve.

7M

8. a) Explain the phenomenon of superconductivity and Meissner effect with example. 8M b) Define the terms high temperature superconductors and critical temperature. Discuss the

BCS theory of superconductivity.

7M

Unit – V

9. a) What are the characteristics of laser beam? Describe construction and working of semiconductor diode laser with help of diagram.

8M

b) Discuss the terms spontaneous emission and stimulated emission. Calculate the wavelength of a semiconductor laser having band gap 0.8eV.

7M

10. a) What is principle of optical fiber? Explain the different types of optical fibers with suitable diagram.

8M

b) Discuss the factors contributing to the fibers loss. A fiber with an input power of 9µW has a loss of 1.5db/km. If the fiber is 3000m long, what is the output power?

7M




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

& Civil Engineering) Date: 23 December, 2017 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 music and sports?

10M

b) Do as directed: i. Write the synonym for the word: retrieve ii. Write the antonym for the word: dormant iii. Fill in the blank with suitable word: The …… of the river is steep. (course/coarse) iv. Fill in the blank with appropriate article: We will meet in …….. hour v. We have some informations to give you. (correct the error)

5M

2. a) ‘Service to humanity is service to God’. Analyze this statement with reference to Mother Teresa.

10M

b) Do as directed: i. Give the meaning of the idiom and use it in your own sentence: to face the music ii. Laughter is the best medicine. ( identify the part of speech for the underlined

word) iii. I received best complements from the manager. (correct the error) iv. Use suffix to form an adjective: read v. Use the phrasal verb in your sentence: to bring about

5M

Unit – II

3. a) Summarize the story “The Connoisseur” by Nergis Dalal. 10M b) Do as directed:

i. Write the antonym for the word: stare ii. Write the synonym for the word: acquisition iii. Choose the appropriate word given in the brackets: Many medications have other

_________ besides the intended one. (affects, effects) iv. Fill the blank with appropriate preposition: I never accept presents _____ anyone v. Correct the sentence: Do you know who’s sweater this is

5M

4. a) Discuss the role of Sam Pitroda in ‘the revolution in communication systems’ in India. 10M b) Do as directed:

i. Write the antonym for the word: hasten ii. Write the word substitute: Something that is poisonous or unhealthy iii. Write one synonym for the word: tremendous iv. Use the following phrasal verb in your own sentence: break in v. Correct the sentence: My brother returned back from America yesterday

5M

Cont…2

:: 2 ::

Unit – III

5. a) What are the various problems that film makers in India face? 10M

b) Do as directed: i. Rewrite the sentence in right order: He asked where was I studying ii. Identify the modal verb: Can you find the right answer for this question iii. Use the idiom in your own sentence: have Green Fingers iv. Give one word substitute: Child of unusual or remarkable talent v. Derive the verb from the word: light

5M

6. a) What does Martin Luther King demand for the negroes in America to satisfy them? 10M

b) Do as directed: i. Write the antonym for the word: triumph ii. Write the synonym for the word: passion iii. Use the idiom in your own sentence: black sheep iv. Give one word substitute: an imaginary name assumed by an author for disguise v. Correct the sentence: I have writing the exam for two hours

5M

Unit – IV

7. a) Give an account of the district administration’s efforts after the tsunami attack on Cuddalore.

8M

b) Imagine that the goods you received from a purchase order turned out to be in bad condition. Write a letter of complaint, asking for replacement.

7M

8. a) Draft a job application letter and a resume for the post of software design engineer. 8M b) Identify the tense of the given sentences:

i. We met our friends last Sunday ii. It will be fun being together again iii. We live next to the city market iv. She has been painting all the while v. There is a banyan tree near my house vi. I am planning to visit my parents vii. We will complete our exams by next Wednesday

7M

Unit – V

9. a) What new beginning does Obama envisage between USA and the Islamic World? 8M b) Prepare a report to be submitted to the Municipal Commissioner of your town on the

mosquito menace in your town suggesting solutions to solve the problem.

7M

10. a) What are the solutions Obama offers to the problems of the world? 8M b) Write a report on the frequent road accidents and suggest measures to avoid them. 7M




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



Unit – I

1. a) What is an electrochemical series? Discuss its important characteristics and applications. 7M b) Describe the principle behind corrosion control by cathodic protection method. Explain

how it is achieved by sacrificial anode method with a figure.

8M

2. a) Discuss the construction and functioning of Ni-Cd battery with relevant reactions. Where does it find usage?

8M

b) What are concentration cells? Calculate the EMF of the cell, when zinc rod dipped in 0.02M Zinc sulphate and another zinc rod dipped in 0.05M Zinc sulphate solution at 298K.

7M

Unit – II

3. a) What is hard water? Mention the types of hardness. List out the salts responsible for causing hardness.

7M

b) Explain the softening of water by reverse osmosis method.

8M

4. a) Describe the ion-exchange process for the purification of water. 8M b) Differentiate between temporary and permanent hardness. Calculate temporary,

permanent and total hardness in ppm for a water sample containing 20mg CaSO4, 19.2mg Mg(HCO3)2, 12.5mg MgCl2 and 22.4mg Ca(HCO3)2 in one litre.

7M

Unit – III

5. a) Discuss the types of polymerization with examples. 7M b) What is a refractory? Outline the classification of refractory with examples.

8M

6. a) What are the raw materials for the manufacture of Portland cement? With a neat sketch describe the manufacture of Portland cement.

8M

b) Explain with reactions the preparation of Buna-S and Buna-N and give their properties and engineering uses.

7M

Unit – IV

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

7M

b) A sample of coal contains 87% C, 2% H, 1% O, 1% S and remaining being ash. Calculate the theoretical weight of air required for complete combustion of 1kg of the sample of coal. Illustrate the combustion reactions involved.

8M

8. a) Outline the ultimate analysis of coal. 8M b) Explain the analysis of flue gas by Orsat’s method.

7M

Unit – V

9. a) Explain the terms phase, components and degree of freedom in the phase rule equation with examples.

8M

b) Enumerate the differences between physisorption and chemisorptions.

7M

10. a) What is reduced phase rule? Explain the T-C diagram of Pb-Ag system. 8M b) Explain Tyndall effect and Electrophoresis properties of colloids. 7M




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

& Civil Engineering) Date: 28 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made after each drawing. Find the probability that: i. Both are white ii. First is red and second is white

8M

b) A can hit a target 3 times in 5 shots, B hits target 2 times in 5 shots, C hits target 3 times in 4 shots. Find the probability of the target being hit when all of them try independently.

7M

2. a) State and prove Baye’s theorem. 7M b) What is the probability that a card drawn at random from the pack of playing cards may

be either a queen or a king?

8M

Unit – II

3. a) A random variable X has the following probability distribution.

X 0 1 2 3 4 5 6 7 8

P X K 3 K 5 K 7 K 9 K 11 K 13 K 15 K 17 K

Determine: i. The value of K

ii. 3P X

iii. 3P X

iv. 0 5P X

7M

b) Using recurrence formula, find the probabilities when x = 0, 1, 2, 3 and 4, if the mean of Poisson distribution is 3.

8M

4. a) In a normal distribution 31% of the item are under 45 and 8% are over 64. Find the mean and variance of the distribution.

7M

b) For the continuous probability function xexkxf 2)( when 0,x find:

i. k ii. Mean iii. Variance

8M

Unit – III

5.

a) Find a real root of the equation 0cos xxe x using Newton-Raphson method.

7M

b) Calculate the value of 7.5f for the table.

x 1 2 3 4 5 6 7 8

f x 1 8 27 64 125 216 343 512

8M

Cont…2

:: 2 ::

6.

a) Find a real of the equation 02.1log10 xx using Regula Falsi method.

7M

b) Use lagrange’s formula, calculate 2f from the following table.

x 0 1 3 4

f x 5 6 50 105

8M

Unit – IV

7.

a) By the method of least squares fit a parabola of the form 2y a bx cx for the

following data:

x 2 4 6 8 10

y 3.07 12.85 31.47 57.38 91.29

7M

b) Evaluate 6

0

1

1dx

xusing Simpson’s 3/8th rule by taking 1h .

8M

8.

a) From the following table obtain dy

dx and

2

2

d y

dx at 1.5x

x 1.5 2.0 2.5 3.0 3.5 4.0

y 3.375 7.0 13.625 24.0 38.375 59.0

7M

b) Evaluate 2

25 2

xdx

x

using Trapezoidal rule by taking 0.5h

8M

Unit – V

9.

a) Find by Taylor’s series method 0.1y given 2 1, 0 1dy

x y ydx

7M

b) Given that 2 , 0 0, 0.2 0.02, 0.4 0.0795,dy

x y y y ydx

0.6 0.1762.y Compute 0.8y using Adam-Bashforth method.

8M

10.

a) Given 3 , 0 1.2

dy yx y

dx Compute 0.2y taking h=0.2 using Runge-Kutta

method of fourth order.

7M

b) Given 1 , 1 2.dy y

ydx x

Find the approximate value of 1.2y using Euler’s

modified method.

8M




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

Electronics and Communication Engineering & Electrical and Electronics Engineering) Date: 30 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) Draw the diode equivalent circuits? Explain with VI graphs and circuits. 8M b) A Germanium diode carries a current of 1mA at room temperature (20oC) when a

forward bias of 0.15V is applied. Estimate the reverse saturation current at room temperature and 20oC above room temperature. How much forward bias is to be changed for 100 times increase in current at room temperature.

7M

2. a) Give the explanation of ideal versus practical diodes concept and static and dynamic resistances with circuit diagram.

8M

b) A 30V forward voltage is applied to a silicon diode in series with a load of 3KΩ. Draw DC load line. What is the slope of the line?

7M

Unit – II

3. a) Explain the zener diode characteristics with the equivalent model for each region. 8M b) Over what range of input voltage will the zener circuit shown in Fig.1, maintain 30V

across 2KΩ load, assuming that series resistance R=200Ω and zener diode current rating is 25mA.

Fig.1

7M

4. a) Derive an equation for rectifier efficiency of a half wave rectifier. 8M b) A bridge rectifier uses 4 identical diodes of forward resistance each of 2Ω. It is

supplied from a transformer with output voltage of 20V(rms) and secondary winding resistance is 5Ω. Calculate: i. Output DC voltage at DC load current of 100mA ii. Percentage regulation for a full load DC current of 200mA iii. Efficiency of the rectifier

7M

Unit – III

5. a) Draw the circuit diagram for transistor in common base configuration and explain about its input and output characteristics.

9M

b) The value of =0.9. Find. Suppose the base current is 100A, and ICo is 0.5mA calculate the collector and emitter currents for CE configuration.

6M

6. a) Describe the principle of operation of an enhancement MOSFET and draw its drain and transfer characteristics.

10M

b) Define α and β. Obtain the relation between them.

5M

Cont…2

::2::

Unit – IV

7. a) What is the necessity of biasing? List types of biasing techniques. 5M b) Calculate the stability factor and operating point of a self-bias circuit with

VCC = 12V, RC = 4.7K, R1 = 33K , R2 = 5.6K, RE = 1K and = 50.

10M

8. a) How a diode used for compensating variations against VBE and ICo? 8M b) Show that the slope of ac load line is more than that of dc loadline slope.

7M

Unit – V

9. a) Explain hybrid equivalent model with equivalent circuit and equations. 8M b) Analyze the effect of emitter resistance on gain and input resistance of a CE amplifier.

7M

10. a) Derive equation for parameters of JFET fixed bias configuration by substituting JFET AC equivalent model.

8M

b) For the CE amplifier shown in Fig.2 and given hie=1.1kΩ hre=2.5x10-4, hfe=50,hoe=24µA/V. calculate Ai, Av,Ri, Ais, Avs for RL=10kΩ.

Fig.2

7M




BASIC ELECTRONICS

(Mechanical Engineering)

Date: 30 December, 2017 FN Time: 3 hours Max Marks: 75


Unit - I 1. a) With neat diagrams, explain the operation of a P-N junction diode in forward and reverse

bias conditions. 8M

b) A half wave rectifier uses a diode with internal resistance of 100Ω, load resistance of 1KΩ. If RMS secondary voltage is 50V; calculate: i. RMS output current ii. DC output current iii. DC output voltage iv. Efficiency

7M

2. a) With neat diagrams, explain the operation of bridge rectifier. Derive expressions for DC output current and efficiency.

8M

b) Explain the operation of Zener diode. Draw its V-I characteristics. 7M

Unit – II

3. a) Explain the operation of PNP transistor with neat diagrams. 7M b) Explain input and output characteristics of CB configuration.

8M

4. a) Draw a circuit which uses a diode to compensate for changes in ICO and VBE. Explain how stabilization is achieved in the circuit.

8M

b) In a CE germanium transistor amplifier using self bias circuit, RC=2.2KΩ, β=50, VCC=9V and the operating point is required to be set at IC =2mA and VCE=3V. Determine the values of R1, R2, and RE.

7M

[

Unit – III

5. a) Draw the h-parameter model of CE amplifier and derive expressions for voltage gain, current gain and input impedance.

8M

b) For a CB transistor amplifier driven by a voltage source of internal resistance RS = 600Ω, the load impedance is a resistor RL=1200Ω. The h – parameters are hib=22Ω, hrb=4x10-4, hfb = -0.98 and hob=0.25µA/V. Compute AV, AI, RI, and RO using exact analysis.

7M

6. a) A voltage source of internal resistance RS=900Ω drives a CC amplifier using load resistance RL=2000Ω. The CE h-parameters are hie=1200Ω, hre=2x10-4, hfe=60 and hoe=25µA/V. Compute the current gain, voltage gain, and the input impedance using approximate analysis.

7M

b) Draw the simplified h-parameter model of CE amplifier and derive expressions for voltage gain, current gain and output impedance.

8M

Unit – IV 7. a) Explain the advantages of negative feedback. 7M b) In a Hartley oscillator, L1=5mH, L2=10mH, C=0.01µF. Calculate:

i. Frequency of oscillations ii. Feedback factor iii. Gain required for sustained oscillations

8M

Cont…2

:: 2 ::

8. a) Prove that voltage series feedback stabilizes amplifier voltage gain. 7M b) In a Colpitts oscillator, L=5mH. Find C1 and C2, if the frequency of oscillation is 50kHz.

Assume 10 % feedback. 8M

Unit – V

9. a) Explain the concept of ‘minterms’ and ‘maxterms’. 7M b) Perform 9’s complement subtraction :

i. 7248 - 9523 ii. 18964 - 4286

8M

10. a) Prove the following properties: i. A+BC = (A+B) (A+C) ii. (A+B)+C = A+(B+C) iii. (B+BC)(B+BC)(B+D) = B

8M

b) Implement XOR gate using: i. NAND gates only ii. NOR gates only

7M


(AUTONOMOUS) B. Tech II Semester Supplementary Examinations, January - 2018


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

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


Unit – I

1. a) Explain the various Asymptotic notations. 7M b) Apply the concept of recursive function to perform Fibonacci search on a given list of

elements.

8M

2. a) Define Data structures. Explain the classification of data structures with example for each.

7M

b) Construct a C program using recursion to find solution for tower of Hanoi problem.

8M

Unit – II

3. a) Explain the radix sort. Sort the numbers given below using radix sort: 345, 654, 924, 123, 567, 472, 555, 808, 911

8M

b) Write a C program to sort the elements efficiently using Bubble Sort technique. Comment on the time complexities.

7M

4. a) Sort the following numbers using Insertion sort technique: 39, 9, 45, 63, 18, 81, 1, 8, 54, 72, 36.

6M

b) Device an algorithm for sorting using Quick sort technique. Indicate the Best, Average and Worst Case Time complexities.

9M

Unit – III

5. a) Write an algorithm to evaluate postfix expression. What is the complexity (time and space) of your algorithm?

8M

b) Explain DeQueue? Write types of DeQueues.

7M

6. a) Define stack? Explain applications of stack. 7M b) Explain Round robin algorithm with an example.

8M

Unit – IV

7. Considering a single linked linear list, answer the following using algorithm/program: i. Insert an element at the beginning ii. Delete the element at the specified position (nth position) iii. Reversing a list without creating a temporary (extra) node

15M

8. a) Implement the dequeue using doubly linked linear list. 8M b) How do you represent a polynomial using linked list? Implement the addition of two

single variable polynomials. 7M

Cont…2

::2::

Unit – V

9. a) What is a graph? Illustrate with suitable examples. 5M b) Consider the following tree, give inorder, preorder, postorder and levelorder traversal

for the same.

Write a C function for level order traversal.

10M

10. a) Implement the binary search tree for: i. Inserting an element ii. Searching an element

10M

b) Obtain the minimum spanning tree step by step for the given graph. Also find the weight of MST.

5M




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

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


Unit – I

1. a) Distinguish between Kinematics and Kinetics. 5M b) A car starts from rest and accelerates uniformly to reach a maximum speed of 72kmph

in 30 seconds. It then travels at this speed for 3 minutes and finally comes to rest in 45 seconds. Determine: i. Acceleration and deceleration of the car ii. Total distance travelled during this time iii. Average velocity in this time

10M

2. a) Derive the condition for maximum range when a particle is projected on an horizontal plane and determine the maximum range.

6M

b) A fielder throws a ball with an initial velocity of 30m/s at an angle of 450 to horizontal towards the stumps. The ball is caught by wicket keeper. The height at which ball is thrown is 1.6m above ground and the height at which it is caught by keeper is 1m above ground. Determine the speed and the angle at which the keeper receives the ball. Also find the distance between the fielder and wicket keeper.

9M

Unit – II

3. a) State and explain D’ Alembert’s principle. 5M b) In the Fig.1, shown, a force of 30N is applied to the lower block of 5kg mass, over which

another block of 3kg mass rests. Determine the acceleration of the blocks and the tension in the string assuming it to be inextensible. The coefficient of kinetic friction for all contact surfaces is 0.15.

Fig.1

10M

4. a) Explain moment and moment of momentum of a particle. 6M b) An elevator case of a mine shaft weighing 9kN, when empty is lifted or lowered by

means of rope. Once a man weighing 700N entered it and lowered with uniform acceleration such that when a distance of 187.5m was covered the velocity of cage was 25m/s. Determine the tension in the rope and the force exerted by the mass on the floor of the cage.

9M

Unit – III

5. a) A body is pulled through a distance 15m along a level track. The force applied is 400N i. In the direction of motion ii. At 300 to the direction of motion. Find the work done.

7M

b) A spring of stiffness 25kN/m is compressed by an initial load of 5kN, gradually applied, and then further loaded gradually to compress it an additional distance of 500mm. What is the total work done on the spring?

8M

Cont…2

:: 2 ::

6. A car of mass 500 kg descends a hill of sin-1(1/6). The frictional resistance to motion is 100N.

Calculate, using work energy method, the average braking effect to bring the car to rest from 24km/h in 15m.

15M

Unit – IV

7. a) A body off 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?

7M

b) A ball of mass 20 kg moving with a velocity of 5m/s strikes directly another ball of mass 10kg moving in the opposite direction with a velocity of 10m/s. If the coefficient of restitution is equal to 5/6, then determine the velocity of each ball after impact.

8M

8. a) Define and derive an expression for coefficient of restitution. 7M b) A ball is dropped on a horizontal floor from which it rebounds to a height of 16m. If the

coefficient of restitution between the floor and the ball is 0.8, find the height from which the ball was dropped.

8M

Unit – V

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

5M

b) The deflection produced at the free end of the cantilever beam by a static load of 1 KN is 5mm. If a weight of 1.5KN is dropped on the free end of the beam from a height of 50mm, compute the frequency of vibration. What will be the maximum deflection? Assume that the weight stays in contact with beam after striking it.

10M

10. The spring attached to the slender bar of man m in Fig.2 is unscratched when Ø=0, neglecting friction, determine the natural frequency of small vibration of the bar relative to its equilibrium position.

Fig.2

15M




BASIC ELECTRICAL AND ELECTRONICS ENGINEERING (Civil Engineering)



Unit – I

1. a) State and explain Kirchhoff’s laws with example. 7M b) Find the total current flowing in the following circuit.

Fig.1

8M

2. a) Describe the types of network elements with examples. 7M b) Find the total current flowing in the following circuit.

Fig.2

8M

Unit – II

3. a) Define root mean square value and determine for sinusoidal waveform. 7M b) A series RLC circuit of values R= 100Ω, L= 0.01mH and C= 0.01mF is supplied by a 120V,

50Hz ac supply. Find the impedance, admittance and total current.

8M

4. a) Draw the phasor diagram for series R-L-C circuit and explain the same. 7M b) A Series R-C circuit has a resistance of 100Ω in Series with a capacitance of 150µF and is

connected across 230 V, 50Hz supply. Calculate: i. The circuit current ii. Power factor

8M

Unit – III

5. a) State and explain Superposition theorem with an example. 7M b) Verify Superposition theorem and also find the current flowing through 2Ω resistance

using Superposition theorem.

Fig.3

8M

Cont…2

::2::

6. a) With a neat sketch, explain the Basic principle of Permanent magnet moving coil type

instrument. 9M

b) List the applications of CRO. 6M

Unit – IV

7. a) Explain break down in PN junction diodes. 7M b) With a neat sketch, explain full bridge rectifier and draw its input and output waveforms.

8M

8. a) Compare half wave and full wave rectifiers. 7M b) With a neat sketch, explain V-I characteristics of a PN junction diode in detail.

8M

Unit – V

9. a) Give the physical arrangement of a NPN transistor and discuss how it provides current amplification.

8M

b) What is a bipolar transistor? How are its terminals named?

7M

10. a) Explain i/p and o/p characteristics of a transistor in CE configuration.

6M

b) Draw the circuit diagram of NPN transistor and explain its construction and principle of working.

9M







Unit – I

1.


1110

1101

1321

1312

by reducing to an echelon form.

7M


7 2 2

6 1 2

6 2 1

A

8M




8M

b) Find the inverse of

0 1 2

1 2 3

3 1 1

A

using Gauss-Jordan method.

7M

Unit – II

3.


0 0

0 0

0 0

i

A i

i

7M

b) Reduce 2 2 2



8M

4.


5M


1 1 3

1 5 1

3 1 1

A

by finding modal matrix and hence find 4A

10M

Unit – III



7M


8M

Cont…2

:: 2 ::



7M


u

x

u

2 where

3( ,0) 6 xu x e

8M

Unit – IV

7.


4 2

3 14 2

for 0( )

for 1

x xf x

x x


7M


8M

8.


7M


interval ,

8M

Unit – V

9.


.0, 1

x xf x

x


0

cos sinx x xdx

x

8M


1

1 x

7M

10.


8M


203

3

zz

zz

7M




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



Unit – I

1. a) What are Miller indices? How are they obtained? Sketch the planes (110),(011),(002),(120).

8M

b) Show that for a simple cubic lattice d100:d110:d111= 6: 3: 2. Calculate atomic radius and interplanar spacing of (110) plane if lattice constant of f.c.c. is 3.61

0A.

7M


8M


7M

Unit – II


8M


7M

4. a) Explain in detail intrinsic and extrinsic semiconductors. 8M b) Describe the p-n junction when it is forward biased and reverse biased.

7M

Unit – III


7M



7M

Unit – IV


7M

8. a) Explain the phenomenon of superconductivity and Meissner effect with example. 8M b) Define the terms high temperature superconductors and critical temperature. Discuss the

BCS theory of superconductivity.

7M

Unit – V


8M


7M


8M


7M




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



Unit – I

1. a) What is an electrochemical series? Discuss its important characteristics and applications. 7M b) Describe the principle behind corrosion control by cathodic protection method. Explain

how it is achieved by sacrificial anode method with a figure.

8M


8M

b) What are concentration cells? Calculate the EMF of the cell, when zinc rod dipped in 0.02M Zinc sulphate and another zinc rod dipped in 0.05M Zinc sulphate solution at 298K.

7M

Unit – II


7M


8M



7M

Unit – III

5. a) Discuss the types of polymerization with examples. 7M b) What is a refractory? Outline the classification of refractory with examples.

8M

6. a) What are the raw materials for the manufacture of Portland cement? With a neat sketch describe the manufacture of Portland cement.

8M

b) Explain with reactions the preparation of Buna-S and Buna-N and give their properties and engineering uses.

7M

Unit – IV


7M


8M


7M

Unit – V


8M

b) Enumerate the differences between physisorption and chemisorptions.

7M

10. a) What is reduced phase rule? Explain the T-C diagram of Pb-Ag system. 8M b) Explain Tyndall effect and Electrophoresis properties of colloids. 7M




PROBABILITY THEORY AND NUMERICAL METHODS (Civil Engineering)



Unit – I

1. a) Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made after each drawing. Find the probability that: i. Both are white ii. First is red and second is white

8M

b) A can hit a target 3 times in 5 shots, B hits target 2 times in 5 shots, C hits target 3 times in 4 shots. Find the probability of the target being hit when all of them try independently.

7M

2. a) State and prove Baye’s theorem. 7M b) What is the probability that a card drawn at random from the pack of playing cards may

be either a queen or a king?

8M

Unit – II

3. a) A random variable X has the following probability distribution.

X 0 1 2 3 4 5 6 7 8

P X K 3 K 5 K 7 K 9 K 11 K 13 K 15 K 17 K

Determine: i. The value of K

ii. 3P X

iii. 3P X

iv. 0 5P X

7M

b) Using recurrence formula, find the probabilities when x = 0, 1, 2, 3 and 4, if the mean of Poisson distribution is 3.

8M

4. a) In a normal distribution 31% of the item are under 45 and 8% are over 64. Find the mean and variance of the distribution.

7M

b) For the continuous probability function xexkxf 2)( when 0,x find:

i. k ii. Mean iii. Variance

8M

Unit – III

5.

a) Find a real root of the equation 0cos xxe x using Newton-Raphson method.

7M

b) Calculate the value of 7.5f for the table.

x 1 2 3 4 5 6 7 8

f x 1 8 27 64 125 216 343 512

8M

Cont…2

:: 2 ::

6.

a) Find a real of the equation 02.1log10 xx using Regula Falsi method.

7M

b) Use lagrange’s formula, calculate 2f from the following table.

x 0 1 3 4

f x 5 6 50 105

8M

Unit – IV

7.

a) By the method of least squares fit a parabola of the form 2y a bx cx for the

following data:

x 2 4 6 8 10

y 3.07 12.85 31.47 57.38 91.29

7M

b) Evaluate 6

0

1

1dx

xusing Simpson’s 3/8th rule by taking 1h .

8M

8.

a) From the following table obtain dy

dx and

2

2

d y

dx at 1.5x

x 1.5 2.0 2.5 3.0 3.5 4.0

y 3.375 7.0 13.625 24.0 38.375 59.0

7M

b) Evaluate

2

25 2

xdx

x

using Trapezoidal rule by taking 0.5h

8M

Unit – V

9.

a) Find by Taylor’s series method 0.1y given 2 1, 0 1dy

x y ydx

7M

b) Given that 2 , 0 0, 0.2 0.02, 0.4 0.0795,dy

x y y y ydx

0.6 0.1762.y Compute 0.8y using Adam-Bashforth method.

8M

10.

a) Given 3 , 0 1.2

dy yx y

dx Compute 0.2y taking h=0.2 using Runge-Kutta

method of fourth order.

7M

b) Given 1 , 1 2.dy y

ydx x

Find the approximate value of 1.2y using Euler’s

modified method.

8M




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



Unit – I

1. a) Draw the diode equivalent circuits? Explain with VI graphs and circuits. 8M b) Over what range of input voltage will the zener circuit shown in Fig.1, maintain 30V

across 2KΩ load, assuming that series resistance R=200Ω and zener diode current rating is 25mA.

Fig.1

7M

2. a) Derive an equation for rectifier efficiency of a half wave rectifier. 8M b) A bridge rectifier uses 4 identical diodes of forward resistance each of 2Ω. It is supplied

from a transformer with output voltage of 20V(rms) and secondary winding resistance is 5Ω. Calculate: i. Output DC voltage at DC load current of 100mA ii. Percentage regulation for a full load DC current of 200mA iii. Efficiency of the rectifier

7M

Unit – II

3. a) Draw the circuit diagram for transistor in common base configuration and explain about its input and output characteristics.

9M

b) The value of =0.9. Find. Suppose the base current is 100A, and ICo is 0.5mA calculate the collector and emitter currents for CE configuration.

6M

4. a) Describe the principle of operation of an enhancement MOSFET and draw its drain and transfer characteristics.

10M

b) Define α and β. Obtain the relation between them.

5M

Unit – III

5. a) What is the necessity of biasing? List types of biasing techniques. 5M b) Calculate the stability factor and operating point of a self-bias circuit with

VCC = 12V, RC = 4.7K, R1 = 33K , R2 = 5.6K, RE = 1K and = 50.

10M

6. a) How a diode used for compensating variations against VBE and ICo? 8M b) Show that the slope of ac load line is more than that of dc loadline slope.

7M

Unit – IV

7. a) Explain hybrid equivalent model with equivalent circuit and equations. 8M b) Analyze the effect of emitter resistance on gain and input resistance of a CE amplifier.

7M

8. a) Perform quantitative comparison of CB, CE and CC amplifiers. 7M b) Obtain the expression for voltage gain and out impedance of BJT by its hybrid model.

8M

Unit – V

9. a) Write a neat block diagram of feedback amplifier and explain each block briefly. 8M b) Derive an expression for gain of a voltage series negative feedback amplifier.

7M

10. a) With neat circuit diagram and equations explain RC phase shift oscillator using BJT. 8M b) In a colpitt’s oscillator, if the derived frequency is 800KHz, determine the values of

inductor and capacitor. Also write its circuit diagram. 7M




ELECTRONIC DEVICES (Common to Electronics and Communication Engineering & Electrical and Electronics

Engineering) Date: 30 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) Derive an expression for the electron current due to drift and diffusion. 8M b) The intrinsic carrier concentration for silicon at room-temperature (3000K) is

1.5x1010/cm3. If the mobilities of electrons and holes are 1300 cm2/Vs and 450 cm2/Vs respectively, what is the conductivity of silicon (intrinsic) at 3000K? If silicon is doped with 1018 boron per cc, what is its conductivity?

7M

2. a) Explain Hall Effect in semiconductor. 7M b) Find the conductivity and resistivity of an intrinsic semiconductor at temperature of

3000 K. It is given that ni=2.5 x 1013/cm3, u =3,800cm2/Vs, up=1,800 cm2 /Vs and q=1.6x10-19 C.

8M

Unit – II

3. a) Define the current components in a p-n diode. Derive the expression for the total current as a function of the applied voltage.

8M

b) Briefly explain the temperature dependence of the V-I characteristics of a diode.

7M

4. a) Differentiate between transition capacitance and diffusion capacitance of a p-n junction diode.

8M

b) The current flowing through a silicon diode at room temperature (300o K) when reverse biased is 0.35x10-9A. Determine: i. The current flowing through the diode when applied forward voltage is 0.6V ii. The forward voltage across the diode when the current flowing is 15mA

7M

Unit – III

5. a) For the diode circuit shown in Fig.1 i. Calculate ID, VD and VR repeat ii. If the battery polarity is reversed

Fig.1

8M

b) Draw and explain Vi characteristics of Zener diode. 7M

Cont…2

::2::

6. a) Draw the bridge rectifier circuit and explain its operation with relevant waveforms. 7M b) In a Zener diode regulator if Vz=10V, RS=1KΩ, RL=2KΩ, if the input voltage Vin Varies

from 22V to 40V find maximum value of Zener current.

Fig.2

8M

Unit – IV

7. a) Explain about transistor current components. 8M b) Explain the basic structure and operation of SCR with suitable characteristics.

7M

8. a) Explain depletion mode MOSFET operation and its characteristics. 8M b) Explain the operation of UJT with neat diagrams.

7M

Unit – V

9. a) Derive the expressions for the stability factor (SIc0) for: i. Fixed-Bias Configuration ii. Self-Bias Configuration

10M

b) In an N-Channel JFET-based voltage-divider common-drain configuration, determine the value of resistor (RS) so as to have the operating point as IDQ = 5 mA, VDSQ = 10 V. Given that VDD = 28 V, R1 =1MΏ, R2 = 0.5 MΏ, saturation drain current of the JFET = 10mA and gate-source pinch-off voltage = -5v.

5M

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




BASIC ELECTRONICS

(Common to Mechanical Engineering & Civil Engineering)



Unit - I 1. a) With neat diagrams, explain the operation of a P-N junction diode in forward and

reverse bias conditions. 8M

b) A half wave rectifier uses a diode with internal resistance of 100Ω, load resistance of 1KΩ. If RMS secondary voltage is 50V; calculate: i. RMS output current ii. DC output current iii. DC output voltage iv. Efficiency

7M

2. a) With neat diagrams, explain the operation of bridge rectifier. Derive expressions for DC output current and efficiency.

8M

b) Explain the operation of Zener diode. Draw its V-I characteristics. 7M

Unit – II

3. a) Explain the operation of PNP transistor with neat diagrams. 7M b) Explain input and output characteristics of CB configuration.

8M

4. a) Draw a circuit which uses a diode to compensate for changes in ICO and VBE. Explain how stabilization is achieved in the circuit.

8M

b) In a CE germanium transistor amplifier using self bias circuit, RC=2.2KΩ, β=50, VCC=9V and the operating point is required to be set at IC =2mA and VCE=3V. Determine the values of R1, R2, and RE.

7M

[

Unit – III

5. a) Draw the h-parameter model of CE amplifier and derive expressions for voltage gain, current gain and input impedance.

8M

b) For a CB transistor amplifier driven by a voltage source of internal resistance RS = 600Ω, the load impedance is a resistor RL=1200Ω. The h – parameters are hib=22Ω, hrb=4x10-4, hfb = -0.98 and hob=0.25µA/V. Compute AV, AI, RI, and RO using exact analysis.

7M

6. a) A voltage source of internal resistance RS=900Ω drives a CC amplifier using load resistance RL=2000Ω. The CE h-parameters are hie=1200Ω, hre=2x10-4, hfe=60 and hoe=25µA/V. Compute the current gain, voltage gain, and the input impedance using approximate analysis.

7M

b) Draw the simplified h-parameter model of CE amplifier and derive expressions for voltage gain, current gain and output impedance.

8M

Unit – IV 7. a) Explain the advantages of negative feedback. 7M b) In a Hartley oscillator, L1=5mH, L2=10mH, C=0.01µF. Calculate:

i. Frequency of oscillations ii. Feedback factor iii. Gain required for sustained oscillations

8M

Cont…2

:: 2 ::

8. a) Prove that voltage series feedback stabilizes amplifier voltage gain. 7M b) In a Colpitts oscillator, L=5mH. Find C1 and C2, if the frequency of oscillation is 50kHz.

Assume 10 % feedback. 8M

Unit – V

9. a) Explain the concept of ‘minterms’ and ‘maxterms’. 7M b) Perform 9’s complement subtraction :

i. 7248 - 9523 ii. 18964 - 4286

8M

10. a) Prove the following properties: i. A+BC = (A+B) (A+C) ii. (A+B)+C = A+(B+C) iii. (B+BC)(B+BC)(B+D) = B

8M

b) Implement XOR gate using: i. NAND gates only ii. NOR gates only

7M




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



Unit – I


elements.

8M


7M


8M

Unit – II


8M


7M


6M


9M

Unit – III


8M


7M


8M

Unit – IV


15M



Cont…2

::2::

Unit – V


for the same.


10M

10. a) Define the following: i. Complete binary tree ii. Threaded binary tree iii. Graph representation using linked list iv. Graph representation using adjacency matrix

8M

b) For the following tree traversal, construct the binary tree: INORDER: B C A E G D H F I J PREORDER: A B C D E G F H I J

7M




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



Unit – I

1. a) Distinguish between Kinematics and Kinetics. 5M b) A car starts from rest and accelerates uniformly to reach a maximum speed of 72kmph

in 30 seconds. It then travels at this speed for 3 minutes and finally comes to rest in 45 seconds. Determine: i. Acceleration and deceleration of the car ii. Total distance travelled during this time iii. Average velocity in this time

10M

2. a) A motor running freely at 1200 rpm is switched off. The deceleration due to bearings

varies with time as 23 4t t . Determine angular velocity and displacement at

3t s. Also, determine the time taken to come to a stop.

8M

b) A flywheel rotating at 300rpm reduces its speed to 240rpm while making 10 complete revolutions. Determine its angular retardation assuming it to be uniform. What is its speed after 3 seconds assuming the same retardation? Also, determine how much time is taken to come to a stop from a speed of 300rpm.

7M

Unit – II

3. a) State and explain D’ Alembert’s principle. 5M b) In the Fig.1, shown, a force of 30N is applied to the lower block of 5kg mass, over which

another block of 3kg mass rests. Determine the acceleration of the blocks and the tension in the string assuming it to be inextensible. The coefficient of kinetic friction for all contact surfaces is 0.15.

Fig.1

10M

4. A ball is thrown from the ground with a velocity of 20 m/s at an angle of 30 0 to the horizontal. Determine: i. The velocity of the ball at t = 0.5 s and t = 1.5 s ii. Total time of flight of the ball iii. Maximum height reached iv. Range of the ball v. Maximum range

15M

Unit – III

5. a) A body is pulled through a distance 15m along a level track. The force applied is 400N i. In the direction of motion ii. At 300 to the direction of motion. Find the work done.

7M

b) A spring of stiffness 25kN/m is compressed by an initial load of 5kN, gradually applied, and then further loaded gradually to compress it an additional distance of 500mm. What is the total work done on the spring?

8M

Cont…2

:: 2 ::

6. A car of mass 500 kg descends a hill of sin-1(1/6). The frictional resistance to motion is 100N. Calculate, using work energy method, the average braking effect to bring the car to rest from 24km/h in 15m.

15M

Unit – IV

7. a) A body off 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?

7M

b) A ball of mass 20 kg moving with a velocity of 5m/s strikes directly another ball of mass 10kg moving in the opposite direction with a velocity of 10m/s. If the coefficient of restitution is equal to 5/6, then determine the velocity of each ball after impact.

8M

8. a) Define and derive an expression for coefficient of restitution. 7M b) A ball is dropped on a horizontal floor from which it rebounds to a height of 16m. If the

coefficient of restitution between the floor and the ball is 0.8, find the height from which the ball was dropped.

8M

Unit – V

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

5M

b) The deflection produced at the free end of the cantilever beam by a static load of 1 KN is 5mm. If a weight of 1.5KN is dropped on the free end of the beam from a height of 50mm, compute the frequency of vibration. What will be the maximum deflection? Assume that the weight stays in contact with beam after striking it.

10M

10. The spring attached to the slender bar of man m in Fig.2 is unscratched when Ø=0, neglecting friction, determine the natural frequency of small vibration of the bar relative to its equilibrium position.

Fig.2

15M



(Regulations: VCE-R11/R11A)

ADVANCED ENGINEERING DRAWING (Common to Mechanical Engineering, Aeronautical Engineering & Civil Engineering)



Unit – I

1. A square plate of side 35mm is resting on HP with one of its sides and its surface is inclined at

40 to HP and the resting side inclined at 45 to VP. Draw its projections using auxiliary plane method.

15M

2. A hexagonal pyramid, base 30mm side and axis 60mm long has one of its slant edge on HP such that two of its perpendicular faces containing the slant edge on which it rests are equally

inclined to HP. The top view of the axis appears to be inclined at 45 to VP. Draw its projections when the base is nearer to the observer than the apex using auxiliary plane method.

15M

Unit – II

3. A square pyramid with edge of the base 70 mm and length of the axis 100 mm is placed with one of its triangular faces on the ground with the axis parallel to the VP. It is cut by an auxiliary vertical plane passing through a point on the axis 25 mm from the base and inclined at 30 degree to the VP and removing the apex. Draw the sectional elevation and plan views and show the true shape of the section.

15M

4. A cone of base diameter 80 mm is resting on its base. When cut along the generators. it gave the true shape of the section as an isosceles triangle of 50 mm base and 70 mm altitude. Draw the projections of the larger piece when it is kept on the ground on its cut surface. Find the length of the axis of the cone.

15M

Unit – III

5. A vertical cone with diameter of base 90mm and axis 100mm long is penetrated by a horizontal cylinder of 50mm diameter. The axis of the cylinder intersects the axis of the cone at a point 30mm from the base. Draw the projections of the solid, showing the curves of intersection.

15M


Fig.1

15M

Cont…2

:: 2 ::

Unit – IV

7. Draw the isometric view of square prism with a side of base 30mm and axis is 50mm long when the axis is vertical and horizontal.

15M

8. Draw the Isometric projection of the object shown in below Fig.2.

Fig.2

15M

Unit – V

9. Draw 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.

15M

10. 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 corner 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. Draw the perspective projection.

15M







Unit – I

1.


1110

1101

1321

1312

7M


7 2 2

6 1 2

6 2 1

A

8M




7M


1 1 3

1 5 1

3 1 1

A

8M

Unit – II

3.


0 0

0 0

0 0

i

A i

i

7M

b) Reduce 2 2 2



8M

4.


5M

b) Reduce 2 2 27 6 5 4 4x y z xy yz to canonical form by an orthogonal transformation

and discuss its nature.

10M

Unit – III



7M


8M

Cont…2

:: 2 ::



7M


u

x

u

2 where 3( ,0) 6 xu x e

8M

Unit – IV

7.


4 2

3 14 2

for 0( )

for 1

x xf x

x x


7M


8M

8.


7M


interval ,

8M

Unit – V

9.


.0, 1

x xf x

x


0

cos sinx x xdx

x

8M


1

1 x

7M

10.


8M


203

3

zz

zz

7M



(Regulations: VCE-R11A)

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

Aeronautical Engineering & Civil Engineering) Date: 23 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) Define cohesive energy. Obtain an expression for cohesive energy when two interacting atoms are brought close to each other.

8M

b) Identify the type of bonding in the following: i. NaCl ii. Al iii. H2 iv. H2O v. Si Write any three properties of metallic crystals.

7M

2. a) Draw Schematic diagrams of orthorhombic, trigonal(rhombohedral) and Monoclinic crystal systems and mention the possible sub lattices in each system.

5M

b) Calculate the atomic packing fraction for h.c.p. structure. Explain with a neat diagram the structure of ZnS.

10M

Unit – II


8M


7M


7M

Unit – III


8M


7M

6. a) Explain the concept of band formation in sodium metal. 5M b) Discuss the Kronig-Penny model to describe behavior of electron in periodic potential.

List out the conclusions drawn from this model.

10M

Unit – IV



7M


7M

Cont…2

::2::

Unit – V


8M


7M


8M


7M




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

Engineering & Civil Engineering) Date: 28 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1. a) What is an electrochemical series? Discuss its important characteristics and applications. 7M b) Define terms Specific conductance and Molar conductance. Write their units. What is the

effect of dilution, temperature, on the molar conductivity of a weak electrolyte? How is specific conductance related to equivalent conductivity and normality?

8M


8M

b) Describe the working and construction of H2-O2 fuel cell and mention its advantages.

7M

Unit – II


7M


8M



7M

Unit – III

5. a) Discuss the types of polymerization with examples. 7M b) Enumerate the differences between physisorption and chemisorptions.

8M

6. a) Explain Tyndall effect and Electrophoresis properties of colloids. 8M b) Explain with reactions the preparation of Buna-S and Buna-N and give their properties

and engineering uses.

7M

Unit – IV


7M


8M


7M

Unit – V


8M

b) What is a refractory? Outline the classification of refractory with examples.

7M

10. a) What is reduced phase rule? Explain the T-C diagram of Pb-Ag system. 8M b) What are the raw materials for the manufacture of Portland cement? With a neat sketch

describe the manufacture of Portland cement. 7M


(AUTONOMOUS) B. Tech IV Semester Supplementary Examinations, December - 2017


ENVIRONMENTAL SCIENCE (Electrical and Electronics Engineering)



Unit – I

1. a) Define the term Environment. Bring out how Environmental Science is considered Multidisciplinary as well as an interdisciplinary subject.

8M

b) Differentiate between renewable and non-renewable resources. Give examples for both renewable and non-renewable resources.

7M

2. a) Write about Forests as resources and chief causes for deforestation. 8M b) What is a mineral? What are the categories of Mineral Resources?

7M

Unit – II

3. a) Write briefly on: i. Desert ecosystem ii. Grassland ecosystem

8M

b) Define biodiversity. Is it possible to have an ecosystem with zero diversity? Substantiate the statement “India—A Mega diversity Nation.

7M

4. a) Discuss in detail about Man-Wild Life conflicts. 8M b) Explain about food webs and its importance in ecosystem.

7M

Unit – III

5. a) Define air pollution and describe the ill effects of air pollutants on human beings. 8M b) Explain the various sources of water pollution indicating specific pollutants.

7M

6. a) What is sustainable development? How it can be achieved? 7M b) Write short notes on acid rain and ozone layer depletion.

8M

Unit – IV

7. a) Explain green building practices to save environment. 8M b) Write short notes on carbon credits.

7M

8. Discuss the scope and benefits of ISO 14000 environmental quality management.

15M

Unit – V

9. a) Write short note on water pollution act 1974. 5M b) i. Write about Indian Forest Act and briefly mention its features

ii. Write about Environmental Ethics

10M

10. a) Write five important functions of Central Pollution Control Board. 5M b) What are the steps followed in conducting EIA? Explain in brief. 10M




PROBABILITY, STATISTICS AND COMPUTATIONAL TECHNIQUES (Common to Information Technology, Electrical and Electronics Engineering &

Civil Engineering) Date: 30 December, 2017 Time: 3 hours Max Marks: 75


Unit – I

1.

a) If 1 1

( ) , ( )2 3

P A P B and 1

( )5

P A B find:

i. ( )P A B

ii. ( )cP A B

7M

b) The mean and variance of binomial variate X with parameter n and p are 6 and 8. Find:

i. ( 1)P X

ii. 2P X

8M

2.

a) For the continuous probability function 2( ) xf x k x e when 0,x find:

i. K ii. Mean iii. Variance

8M

b) Find mean and standard deviations of normal distribution in which 7% items are under 35 and 89% items are under 63.

7M

Unit – II

3. a) A die was thrown 9000 times and of these 3220 yielded a 3 or 4. Is this consistent with the hypothesis that the die was unbiased?

7M

b) If 80 patients are treated with an antibiotic 59 got cured. Find a 99% confidance limits to the true population of cure.

8M

4. a) Two independent sample of 7 items respectively had the following values:

Sample I : 11 11 13 11 15 9 12 14

Sample II : 9 11 10 13 9 8 10 -

Is the difference between the mean of samples significant?

8M

b) The number of automobile per week in a certain community are as follows: 12, 8, 20, 2, 14, 10, 5, 6, 9, 4. Are these frequencies in agreement with the belief that accidents conditions were the same during this 10 week period.

7M

Unit – III

5.

a) Find the real root of the equation 2 4 9 0x x using bisection method in four stages.

7M

b) Using Lagrange’s interpolation formula, find the value of 10y from the following table:

x 5 6 9 11 y 12 13 14 16

8M

6.

a) Find the real root of the equation 3

10log 2 0x x using Newton - Raphson method. 7M

b) Using Newton Forward interpolation formula. Find 1.4y from the following table.

x 1.1 1.3 1.5 1.7 1.9 y 0.21 0.69 1.25 1.89 2.61

8M

Cont…2

:: 2 ::

Unit – IV

7. a) Fit a straight line to the following data.

x 0 1 2 3 4 y 1 1.8 3.3 4.5 6.3

8M

b) Using Simpson’s

3

8

th

rule evaluate

6

2

0

1

1dx

xby dividing the range in to 6 equal parts.

7M

8.

a) Fit a curve of form bxy ae to the following data

x 1 5 7 9 12 y 10 15 12 15 21

8M

b) Evaluate

1

3

0

1 x dx taking 0.1h using Trapezoidal rule.

7M

Unit – V

9. Find 0.1y and 0.2y using Runge–Kutta method of 4th order, given that

2 ,dy

x ydx

0 1y

15M

10.

a) Find 0.4y using Picard’s method given that 2 2 ,dy

x ydx

y 0 0

5M

b) Find 0.8y using Milne’s predictor – corrector method, given that

21dy

yd x

, y 0 0, y 0.2 0.2027, y 0.4 0.4228 and

y 0.6 0.6841.

10M




COMPUTATIONAL TECHNIQUES (Common to Electronics and Communication Engineering & Mechanical Engineering)



Unit – I

1. a) Solve by Jacobi’s iteration method, the equations 20 2 17;x y z

3 20 18;x y z 2 3 20 25;x y z

7M

b) Find the real root of the equation 3 2 5 0x x by the method of False Position method correct to three decimal places.

8M

2. a) Solve the system by Gauss-Seidel method 8 3 2 20,x y z

6 3 12 35, 5 7x y z x y z

7M

b) Find the positive root of 4 10x x correct to three decimal places, using Newton- Raphson method.

8M

Unit – II

3.

a) Show that 4

12

1 22

7M

b) The population of a town in the decennial census was given below. Estimate the population for the year 1895.

Year 1891 1901 1911 1921 1931

Population (thousands)

46 66 81 93 101

8M

4. a) Show that )1log()1log( hd 7M

b) Using Lagrange’s interpolation formula, find the value of y(10) from the following table.

x 5 6 9 11 y 12 13 14 16

8M

Unit – III 5. a) Given

x 1.5 2 2.5 3 3.5 4 y 3.375 7 13.625 24 38.875 59

find dy

dx and

2

2

d y

dx at x = 1.5.

7M

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

x 0 5 10 15 20 25 y 12 15 17 22 24 30

8M

6. a) Find the curve of the best fit of the type 𝑦 = 𝑎𝑒𝑏𝑥 to the following data by the method of least squares

x 1 5 7 9 12 y 10 15 12 15 21

7M

b) Evaluate dxx

1

0

41 using Simpson’s 3/8 rule taking h = 1/6.

8M

Cont…2

:: 2 ::

Unit – IV

7.

a) Solve yxdx

dy 2 , given y(0) = 1.Find 0.1y and 0.2y by Taylor’s series method.

7M

b) Using Euler’s method, solve for y at 2x from 13 2 xdx

dy, 1 2y , taking

0.25h

8M

8.

a) Use Runge-Kutta fourth order method ,find y(0.2) for the equation ,xy

xy

dx

dy

y(0) = 1.

Take h=0.2

7M

b) Given 22 )1(2

1yx

dx

dy and 0 0, 0.1 1.06, 0.2 1.12, 0.3 1.21y y y y .

Evaluate y(0.4) by Milne’s Predictor-Corrector method.

8M

Unit – V

9. Evaluate the function ,u x y satisfying Laplace’s equation 02 u at the pivotal points

given the boundary values as follows:

1000 1000 1000

1000

2000

500

2000

0

1000 500 0 0

15M

10. Find the values 0f u(x,t) satisfying the parabolic equation 2

2

4x

u

t

u

and the boundary

conditions 0, 0 8,u t u t and 2

2

14)0,( xxxu at the points ; 0,1......8x i i

and 1

; 0,1,.......5.8

t j j

15M




BASIC ELECTRICAL ENGINEERING (Computer Science and Engineering)



Unit – I

1. a) State and explain Kirchhoff’s voltage law with an illustrative example. 5M b) A resistance R is connected in series with a parallel circuit comprising 20 and 48 . The

total power dissipated in the circuit is 1,000 watt and the applied voltage is 250V. Calculate R.

10M

2. a) Explain about source transformation techniques. 5M b) A current of 30A flows through two ammeters A1 and A2 connected in series. The

potential difference across the two ammeters are 0.3V and 0.6V respectively. Find how the same current will divide when they are connected in parallel.

10M

Unit – II

3. a) Find the resistance between AB of the network shown in Fig.1.

Fig.1

7M

b) Use node voltage analysis to find I in the circuit shown in Fig.2.

Fig.2

8M

Cont…2

::2::

4. a) Find the current flowing through the galvanometer G in the Wheatstone bridge network

shown in Fig.3.

Fig.3

8M

b) Use mesh current analysis to find the various currents flowing in the network shown in

Fig.4.

Fig.4

7M

Unit – III

5. a) Define the following terms: i. RMS value ii. Average value iii. Form factor iv. Peak factor for a sinusoidal varying quantity

6M

b) Find the total current, power and power factor of the circuit shown in Fig.5.

Fig.5

9M

6. a) Define band width and Q-factor of a series RLC circuit. 5M b) Two coils, one of R1=0.51 , L1 = 32 mH and the other of R2 = 1.3 and L2 = 15 mH and

two capacitors of 25 F are all in series with an resistance of 0.24 . Determine:

i. Resonant frequency (f0) ii. Q-factor of each coil iii. Q-factor of the circuit iv. Cutoff frequencies v. Power dissipated at resonance, if the voltage applied V = 10V

10M

Unit – IV

7. a) Define the terms self, mutual inductances and coefficient of coupling. 6M b) An iron ring of mean diameter 15cm and 10 cm2 in cross section is wound with 200 turns of

wire. There is an air gap of 2mm. For a flux density of 1wb/m2 and relative permeability of 500, find the exciting current, inductance and stored energy.

9M

Cont…3

:: 3 ::

8. a) State and explain Faraday’s laws of electromagnetic induction. 8M b) Two coils A and B with self inductances La and Lb respectively are connected in series. If the

mutual inductance is M, find equivalent inductance.

7M

Unit – 5

9. a) Mention the properties of trees. 5M b) The A matrix of a linear graph given below. Draw the oriented graph .select a tree with

the branches 1,3,4 and 5 and construct cut-set matrix and tie-set matrix.

1 1 0 0 0 0 1

1 1 1 0 1 0 0

0 0 1 1 0 1 1

0 0 0 1 1 1 0

A

10M

10. a) For the circuit shown in Fig.6. Find the Z parameters.

Fig.6

7M

b) Find the Y parameters for the network given in Fig.7.

Fig.7

8M




BASIC ELECTRICAL AND ELECTRONICS ENGINEERING (Common to Mechanical Engineering, Aeronautical Engineering & Civil Engineering)



Unit – I

1. a) State and explain Kirchhoff’s laws with example. 7M b) Find the total current flowing in the following circuit.

Fig.1

8M

2. a) Describe the types of network elements with examples. 7M b) Find the total current flowing in the following circuit.

Fig.2

8M

Unit – II

3. a) Define root mean square value and determine for sinusoidal waveform. 7M b) A series RLC circuit of values R= 100Ω, L= 0.01mH and C= 0.01mF is supplied by a 120V,

50Hz ac supply. Find the impedance, admittance and total current.

8M

4. a) Draw the phasor diagram for series R-L-C circuit and explain the same. 7M b) A Series R-C circuit has a resistance of 100Ω in Series with a capacitance of 150µF and is

connected across 230 V, 50Hz supply. Calculate: i. The circuit current ii. Power factor

8M

Unit – III

5. a) State and explain Superposition theorem with an example. 7M b) Verify Superposition theorem and also find the current flowing through 2Ω resistance

using Superposition theorem.

Fig.3

8M

Cont…2

::2::

6. a) With a neat sketch, explain the Basic principle of Permanent magnet moving coil type

instrument. 9M

b) List the applications of CRO. 6M

Unit – IV

7. a) Explain break down in PN junction diodes. 7M b) With a neat sketch, explain full bridge rectifier and draw its input and output waveforms.

8M

8. a) Compare half wave and full wave rectifiers. 7M b) With a neat sketch, explain V-I characteristics of a PN junction diode in detail.

8M

Unit – V

9. a) Give the physical arrangement of a NPN transistor and discuss how it provides current amplification.

8M

b) What is a bipolar transistor? How are its terminals named?

7M

10. a) Explain i/p and o/p characteristics of a transistor in CE configuration.

6M

b) Draw the circuit diagram of NPN transistor and explain its construction and principle of working.

9M




ENGINEERING MECHANICS (Common to Mechanical Engineering, Aeronautical Engineering

& Civil Engineering) Date: 02 January, 2018 Time: 3 hours Max Marks: 75


Unit – I

1. a) Write about classification of force systems. 5M b) Four forces of magnitude 10kN, 15kN, 20kN and 40kN are acting at a point O. The angles

made by 10kN, 15kN, 20kN and 40kN with X-axis are 300, 600, 900 and 1200 respectively. Find the magnitude and direction of the resultant.

10 M

2. Two spheres, each of weight 1000N and of radius 25 cm rest in a horizontal channel of width 90cm as shown in Fig.1. Find the reactions on the points of contact A, B and C.

Fig.1

15M

UNIT-II

3. Two masses m1=22.5kg and m2=14kg are tied together by a rope parallel to the inclined plane surface as shown in Fig.2. The coefficient of friction are µ1=0.25 and µ2=0.5 respectively, find the angle of inclination of the plane surface θ for which the masses will just start sliding downwards, and the tension in the rope.

Fig.2

15M

4. A uniform ladder of length 5m and weighing 20N is placed against a smooth vertical wall with its lower end 4m away from the wall. If the ladder is just to slip, Determine: i. The coefficient of friction between the ladder and floor. ii. The frictional force acting on the ladder at the point of contact between ladder and

floor.

15M

Cont…2

:: 2 ::

Unit – III

5. a) Derive an expression for centroid of a traiangle. 7M b) Find the centroid of the plane lamina shown in Fig.3.

Fig.3

8M

6. a) Derive an expression for centroid of a circle. 5M b) Find the centroid of the area shown in Fig.4.

Fig.4

10M

UNIT-IV

7. Find the moment of inertia of the I-section shown in Fig.5, about its centroidal axis.

Fig.5

15M

8. a) Determine the moment of inertia for a rectangle of width ‘b’ and height ‘h’ about its

centroidal 00 , yx .

5M

b) Calculate the polar radius of gyration of the Fig.6 shown about its centroid ‘C’.

Fig.6

10M

Cont…3

:: 3 ::

UNIT-V

9. In a framed structure shown in Fig.7, the length of all the members is equal. Determine the force in the top member DE by the method of virtual work.

Fig.7

15M

10. A block of weight 2000N rests on a smooth inclined plane that makes an angle of 30° with the horizontal. This block is supported by a load ‘P’ lying on another smooth plane of inclination 60° as shown in Fig.8. The block and the load have been connected by an inelastic string. Determine the value of load ‘P’ by the method of virtual work.

Fig.8

15M




COMPUTER PROGRAMMING (Common to Mechanical Engineering, Aeronautical Engineering & Civil Engineering)



Unit – I

1. a) With suitable examples discuss the broad categories of languages used in Computer science. Describe the uses of portability in computer languages.

8M

b) Explain in detail about bitwise operators in C with examples.

7M

2. a) Define an algorithm. Write an algorithm to find whether the given number is even or odd.

8M

b) Describe the basic steps in a System Development Life Cycle. 7M

Unit – II

3. a) How Multidimensional arrays are passed to functions? Explain “function with no declarations” through an example.

7M

b) In what way ‘if’ statement is different from ‘switch’ statement? Write a program using switch statement to manipulate student grade systems. Note: Read M1,M2, M3 subject marks and find average and divide grades based on that.

8M

4. a) With the syntax and example the working of for loop. 8M b) Define recursion. Write a program to find factorial of a given number using recursion.

7M

Unit – III

5. a) Illustrate the declaration and initialization of pointer variables with examples. 6M b) Write a C program to copy a string, compare two strings and concatenate two strings

using pointers ( without using string handling functions).

9M

6. a) Discuss in brief with an appropriate example accessing variables through its pointer and perform addition operation on them using their pointers.

5M

b) Explain chain of pointers with suitable example. List any three string handling functions in C. Give example for each.

10M

Unit – IV

7. a) What is Structure? How Structures are different from Arrays? 8M b) Write a program to illustrate the comparison of structure variables.

7M

8. a) Illustrate the working of array of structures with an example. 8M b) What is a Union? Write a C Program to demonstrate the use on Unions in Structures.

7M

Unit – V

9. a) List any five important file handling functions available in C library with their description and syntax.

5M

b) Discuss the purpose of files. List all the basic file operations. With an example demonstrate defining and opening a file. Explain with syntax and example fprintf() and fscanf() functions.

10M

Cont…2

:: 2 ::

10. a) With an example code demonstrate getc() and putc() file I/O functions. 5M b) Write a C program to open a file named INVENTORY and store in it the following data:

Item Name Number Price Quantity AAA 1111 17.50 115 BBB 2222 36.00 75 Extend the program to read this data from the file INVENTORY and display the inventory table with the value of each item.

10M



(Regulations: VCE-R11/11A)

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



Unit – I


elements.

8M


7M


8M

Unit – II


8M


7M


6M


9M

Unit – III


8M


7M


8M

Unit – IV


15M



Cont…2

::2::

Unit – V


for the same.


10M

10. a) Define the following: i. Complete binary tree ii. Threaded binary tree iii. Graph representation using linked list iv. Graph representation using adjacency matrix

8M

b) For the following tree traversal, construct the binary tree: INORDER: B C A E G D H F I J PREORDER: A B C D E G F H I J

7M

mergedfile - vardhaman college of engineering3. a) y solving schrodingers wave equation, obtain the...

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