question paper code: a3001 (autonomous) b. tech i semester ... · is given by the following table:...

Hall Ticket No: Question Paper Code: A3001

(AUTONOMOUS) B. Tech I Semester Regular/Supplementary Examinations, December - 2016

(Regulations: VCE-R15)

MATHEMATICS-I (Common for All Branches)

Date: 21 December, 2016 Time: 3 hours Max Marks: 75

Answer ONE question from each Unit All Questions Carry Equal Marks

Unit – I

1.

a) Solve 2 0xy xydyxe y ye

dx

7M

b) The temperature of the body drops from 0100 C to 075 C in 10 minutes when the

surrounding air is at 020 C . What will be its temperature after half an hour?

8M

2.

a) Solve 221 1

dyx x y x x

dx

7M

b) If radioactive carbon-14 has a half-life of 5750 years, what will remain of one gram after 3000 years?

8M

Unit – II

3.

a) Solve 3 2 23 3 1 xD D D y x e

7M

b) Solve 2

2

24 6 sin log

d y dyx x y x

dxdx

8M

4.

a) Solve 2 2 1 cosD D y x x

7M

b) Apply the method of variation of parameters to solve 2

2cosec

d yy x

dx

8M

Unit – III

5.

a) Obtain Taylor’s series expansion of log cos x about the point 3

x

up to the fourth

degree term.

8M

b) If (1 )u x y and v xy find the Jacobians

,

,

u vJ

x y

,

,

,

x yJ

u v

and verify that

1.JJ

7M

6. a) A rectangular box open at the top, is to have a volume of 32 cubic units. Find the dimensions of the box requiring least material for its construction.

8M

b) Evaluate 2

1 2

0

x

x

xy dy dx

by changing the order of integration.

7M

Unit – IV

7.

a) Find the Laplace transform of 1 cos 3

sin5 sin3t t

f t e t tt

8M

b) Using convolution theorem, obtain the inverse Laplace transform of

2 21 1

sF s

s s

7M

Cont…2

:: 2 ::

8.

a) Express

2, 0 2

4 , 2 4

8, 4

t t

f t t t

t

in terms of unit step function and hence find its Laplace

transform.

7M

b) Using the method of Laplace transform, solve the initial value problem:

2

24 5 5, 0 0, 0 0.

d y dyy y y

dt dt

8M

Unit – V

9.

a) If 2 32 3 ,f xz i yz j xz k

find:

i. di f

ii. curl f

at the point 1, 1, 1

6M

b) Evaluate by Green’s theorem sin cosC

y x dx x dy where C is the triangle enclosed

by the lines 0, , 22

y x y x

9M

10.

a) If 3 2f x y i y z j x pz k

is solenoidal, find p .

5M

b) Verify Stoke’s theorem for 2 2 2F x y i xy j

over the box bounded by the planes

0, , 0,x x a y y b

10M




PROBABILITY THEORY AND NUMERICAL METHODS (Common to Computer Science and Engineering, Information Technology &

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


Unit – I

1. a) A can hit a target 3 times in 5 shots, B 2 times in 5 shots and C 3 times in 4 shots. They fire a volley. What is the probability that: i. Two shots hit ii. Atleast 2 shots hit

8M

b) Find the probability of drawing 2 red balls in succession from a bag containg 4 red and 5 black balls when the ball that is drawn first is: i. Not replaced ii. Replaced

7M

2. a) State and prove Baye’s Theorem. 7M b) Three machines A, B, C produce 25%, 30% and 45% of the total number of items of a

factory. The percentage of defective output of these machines are respectively 5%, 4%, 3%. An item is selected at random and is found defective. Find the probability that the item was produced by machine C.

8M

Unit – II

3. a) A die is thrown thrice, a success is getting 1 or 5 on a toss. Find Mean and variance of number of success.

8M

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

, 0, 0

0 ,

xf x kxe for x

otherwise

Determine: i. k ii. Mean

7M

4. a) The probability that A hits a target 0.5. He fires 6 times. Find the probability that he hits the target: i. Exactly 2 times ii. More than 4 times

7M

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

8M

Unit – III

5. a) Apply Newton-Raphson method to find the real root of10log 1.2 0x x 7M

b) Construct the missing values in the following table:

x 0 5 10 15 20 25 y 6 10 - 17 - 31

8M

Cont…2

::2::

6. a) If (1) 3, (3) 9, (4) 30, (6) 132y y y y , then find )5(y using Lagrange’s

interpolation formula.

7M

b) From the data given in the following table, find the number of students who obtained: i. Less than 45 marks ii. Between 41 and 45 marks

x 30-40 40-50 50-60 60-70 70-80 y 31 42 51 35 31

8M

Unit – IV

7.

a)

Using least squares method fit a second degree polynomial for the following data:

x 10 12 15 23 20 y 14 17 23 25 21

8M

b) A solid of revolution is formed by rotating about the x-axis, the area between the x-axis,

the lines 0 1x and x and a curve through the points with the following co-ordinates:

x 0 0.25 0.5 0.75 1 y 1 0.9896 0.9589 0.9089 0.8415

Estimate the area of the solid formed using Simpson’s rule.

7M

8. a) If P is the pull required to lift a load W by means of a pulley block, find a linear law of the form P mW c by using the following data. Also find P when 150KgW

P 12 15 21 25

W 50 70 100 120

7M

b)

A function ( )y f x is given by the following table:

X 1 1.2 1.4 1.6 1.8 2.0

f x 0.0 0.128 0.544 1.296 2.432 4.00

Find the approximate values of 1.2f and 1.2f by using suitable interpolation

formula.

8M

Unit – V

9.

a) Solve 2yxdx

dy , given 0 1y . Find 0.1 , 0.2y y by Taylor’s series.

8M

b) Using modified Euler’s method find 0.2 , 0.4y y givenxey

dx

dy , 0 0y

7M

10.

a) Find 0.1 , 0.2y y using Runge-Kutta Fourth order method given that 2yxydx

dy

and 0 1y

7M

b) Given 2yxdx

dy and 0 1, 0.1 0.91173, 0.2 0.8494 , 0.3 0.8061,y y y y

evaluate 0.4y by Adams-Bashforth method.

8M




TECHNICAL ENGLISH

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



Unit – I

1. a) Does the writer of the lesson ‘Heaven’s Gate’ inspire you to visit the place? Why? 10M b) Match the following:

i. Take after V. Disappoint ii. Play down W. Resemble iii. Bring up X. Less important iv. Bury the hatchet Y. Stop argument and become friends v. Look down upon Z. Care for somebody

5M

2. a) Mother Teresa loved the unloved. How? 10M b) Choose the appropriate one:

i. My father is --------- RTC employee. (a /an/the) ii. She bumped her head ----------- the wall. (in /into / on) iii. They were -------- guided by others. (un/mis/dis) iv. He had a ------------ (loan/lone) to buy a car. v. (ill/mis/dis) – mannered: not polite

5M

Unit – II

3. a) What does the word ‘Connoisseur’ means? Why do you think the title is appropriate for the story?

10M

b) Choose the appropriate one: i. One of the milk products ------ (is/are) not available here. ii. We shall have a party if weather ----------- (permits/allows) iii. Of all the containers in the van, the green one is the ----------

(heavy/ heaviest/ heavier) iv. She is the ---------- (beautiful) of all my friends. (more /most) v. Study of ancient objects is ---------------- (ancinetology /archaeology)

5M

4. a) Mr. Sam Pitroda is a great visionary. Comment. 8M b) Draft an official letter to the collector of your district with regard to the cleanliness of

your colony in view of the outbreak of dengue fever.

7M

Unit – III

5. a) How did the district administration handle the Tsunami disaster in Cuddalore? 10M b) Do as directed:

i. Fill in the blank with the right question tag We are writing English exam today, _____?

ii. Fill in the blank with the correct form of the verb The audience ____ enjoyed the programme. (has, have)

iii. Write the synonym of the word: grandeur iv. Write the antonym of the word: shabby v. Form a word using the suffix “ –ment”

5M

Cont…2

:: 2 ::

6. a) What did Martin Luther King Jr. dream of the Negroes in America? 10M b) Do as directed:

i. Fill in the blank with the correct form of the verb Many a student ______ opting to study abroad. (is, are)

ii. Fill in the blank with the right question tag You have prepared well for the exam,________?

iii. Write the synonym of the word: inevitable iv. Write the antonym of the word: enlightenment v. Form a word using the prefix ‘bene-’

5M

Unit – IV

7. a) What according to Satyajit Ray are the problems of casting in Indian Films? 8M b) Write a letter of application for doing Summer Internship in a manufacturing company.

7M

8. a) Prepare a resume for a software job. 8M b) Do as directed:

Write one word substitutes for the three expressions given below: i. A small platform that a person stands on when giving a speech or conducting an

orchestra ii. Indifference to pain and pleasure iii. The instrument used to measure the intensity of Earthquakes iv. Your performance pleased me. (change into passive voice) v. Choose the most relevant option for the following sentence: vi. We need to furnish the___ status information in a CV/Resume. (marital, martial) vii. Write the synonym of the word: rubble viii. Write the antonym of the word: donor

7M

Unit – V

9. a) What are the issues addressed by Obama in his speech? 10M b) Match the following:

i. Spendthrift V. Omniscient ii. All powerful W. Omnipotent iii. Present everywhere X. Bibliophile iv. All knowing Y. Spending money carelessly v. One who loves books Z. Omnipresent

5M

10. Submit a detailed report to your principal on the recently held ‘Freshers’ Day’ celebrations. 15M




BASIC ELECTRICAL ENGINEERING

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



Unit – I

1. a) State and explain Kirchhoff law with an example for each. 7M b) Three resistors R1, R2, R3 are connected in series with a constant voltage source of ‘V’

volts. The Voltage across R1 is 4V, power loss in R2 is 16W and the value of R3 is 6 ohms. If the current flowing through the circuit is 2A, find the voltage V.

8M

2. a) If ‘n’ number of resistors are connected in series, derive the expression for equivalent resistance.

5M

b) Find the currents flowing in the branches and total current in the circuit shown in Fig. 1. All the resistances are in ohms and assume that the branch having 10V voltage source has 10Ω resistance.

Fig.1

10M

Unit – II

3. a) Find the current drawn from the source and each resistor in the Fig.2. shown using star delta transformation. Take R1 =100 Ω ,R2 = 300 Ω.

Fig.2

9M

b) For the resistive circuit shown Fig.3. obtain the equivalent resistance as seen between nodes ab.

Fig.3

6M

Cont…2

:: 2 ::

4. a) Define oriented graph and sub graph. For the graph shown in Fig.4, take 5,6,7,8 as tree, write co tree and cut sets.

Fig.4

7M

b) Find the current in the i1 and i2 using mesh current method.

Fig.5

8M

Unit – III

5. a) Define the following term with respect to the sinusoidal quantity: i. RMS value ii. Average Value iii. Form factor iv. Peak factor

8M

b) Find the current in the Ib,, Ic and Vg of the circuit shown. The current Ia=2+j0.

Fig.6

7M

6. a) Show that the current leads voltage by 900 in pure capacitor. Also draw the voltage and current wave forms.

7M

b) A series RLC circuit is composed of 10Ω resistance, 0.1H inductance and 50.0µF capacitance. A voltage v(t)=141.1cos(100πt), Volts is impressed upon the circuit. i. Find the phasor current in the circuit ii. Find the expression for instantaneous current iii. Calculate voltage drops VR, VL and VC across resistor, inductor and capacitor,

respectively

8M

Unit – IV

7. a) State and explain Thevenin’s theorem with an example. 7M b) What Load resistance must be connected across the terminals A and B in the circuit

Shown below so that maximum power is delivered to the Load and also find the maximum power delivered to it?

Fig.7

8M

Cont…3

:: 3 ::

8. a) State and explain Norton’s theorem with example. 6M b) Find the Norton’s equivalent between the terminals a and b of the circuit shown in Fig.8

and find the voltage across impedance Z4.

Fig.8

9M

Unit – V

9. a) State ‘h’ parameters and represent ‘h’ parameters in terms of ‘z’ parameters. 7M b) A two port network has the following parameters, Z22 = 40Ω, Z11 = 30Ω and Y12 = 0.05

mhos. Calculate the ABCD parameters.

8M

10. a) Derive an expression to represent the given ABCD parameters in terms of ‘Z’ parameters. 7M b) For the network shown in Fig.9, find the Y parameters.

Fig.9

8M




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



Unit – I

1. a) Construct the following: i. A regular Pentagon having sides 30mm, with one of its sides inclined at 30o to HP ii. A regular hexagon having sides 30mm, with one of its sides perpendicular to HP

7M

b) Construct a diagonal scale of R.F=1:2 to show millimeter and centimeter to measure up to 35cm. show on the scale a distance of 23.6cm.

8M

2. a) Draw a plain scale to show kilometer and hectometer when R.F=1/35000 and long enough to measure 5km. Measure and mark 3.7km on the scale.

7M

b) The distance between two points on a map is shown by a line 25cm long. But the points are actually 1000km apart. Construct forward Vernier to read up to a single kilometer. Mark on the scale a length of 792km.

8M

Unit – II

3. a) An ellipse has the major axis and the minor axis in the ratio of 3:2. Draw the ellipse when the major axis is 135mm.

7M

b) Draw a hyperbola when half the transverse axis is 90mm, the abscissa is 60mm and double ordinate is 150mm.

8M

4. a) Draw the involute of a circle of diameter 40mm. also draw a tangent and normal at any point on the curve.

5M

b) Draw a hypocycloid of a circle of 50mm diameter which rolls inside another circle of 200mm diameter for one revolution. Draw a tangent and normal at any point on it.

10M

Unit – III

5. a) A point A is 30mm in front of VP and 40mm above HP. Another point B is 20mm behind VP and 35mm below HP. The horizontal distance between the points measured parallel to XY line is 60mm. Draw the three projections of the points. Join their front and top views.

5M

b) A line has its end A 10mm above HP and 15mm in front of VP. The end B is 55mm above HP and line is inclined at 300 to HP. The distance between the end projectors is 50mm. Draw the projections of the line. Determine the true length of the line and its inclination with VP.

10M

6. a) A point P is on HP and 30mm in front of VP. Another point Q is on VP and 40mm above HP. The distance between their projectors parallel to XY line is 50mm. Find the distance between their front and top views of the points P and Q.

5M

b) The point B of a line AB is on the horizontal plane. The top view ab of the line makes an angle of 300 with XY line, ab being 80mm. The point A is on the vertical plane and 50mm above the horizontal plane. Draw the top and front views of the line and obtain the true length of the line. Mark its traces on the two planes. Also find the inclinations of the line with the two planes.

10M

Cont…2

:: 2 ::

Unit – IV

7. a) A circular plate of negligible thickness and 60mm diameter appears as an ellipse in the top view, having its major axis 60mm and minor axis 30mm. Draw its projections and find the inclination of the plate with HP.

8M

b) A pentagonal plate of side 35mm is placed with its surface vertical and parallel to VP. Draw its projections when one of the sides is perpendicular to HP.

7M

8. A regular hexagon of side 35mm has a corner in the HP. Its surface is inclined at 450 to HP. The top view of the diagonal through the corner in HP makes an angle of 600 with VP. Draw its projections.

15M

Unit – V

9. A cone of base diameter 40mm and axis length 50mm is resting on HP on a point on the circumference of its base such that its apex is at 40mm above the HP and its top view of the axis is inclined at 600 to VP. Draw the top and front views of the solid. Also, determine the inclinations of the axis when the base is nearer to the observer.

15M

10. A hexagonal pyramid, base 30mm side and axis 60mm long has one of its slant edges on HP such that two of its triangular 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 450 to VP. Draw its projections when its base is nearer to the observer than its apex.

15M




COMPUTER PROGRAMMING (Common for All Branches)



Unit – I

1. a) Explain the following operators with relevant examples: i. Bitwise operators ii. Increment and Decrement operators iii. Arithmetic operators

9M

b) Write a flow chart and an algorithm to check whether a number is positive, negative or zero.

6M

2. a) Explain the formatted and unformatted input and output statements with proper syntax and examples.

9M

b) Evaluate the following expression: i. x=a-b/3+c*2-1, where a= 9, b=12 and c=3 ii. x=(a*b)+(b-c) /(a+b), where a= 9, b=12 and c=3

6M

Unit – II

3. a) Discuss the types of looping constructs in C language with relevant examples. 9M b) Write a C program to enter a decimal number. Calculate and display the binary equivalent

of this number.

6M

4. a) Explain the string I/O functions with syntax and examples. Write a C program to concatenate two strings.

9M

b) Write a C program to input a square matrix of order m m m and find whether the

matrix is symmetric or not.

6M

Unit – III

5. a) Explain with an example, the function prototype, different types of passing parameters to functions.

9M

b) Write a C function isprime(num) that accepts an integer argument and returns 1 if the argument is prime, a 0 otherwise. Write a C program that invokes this function to generate prime numbers between the given ranges.

6M

6. a) Define Recursion. List the advantages of recursion. Write a C program to find the sum of natural numbers using recursion.

7M

b) Write a program in C using a function named Exchange and swap two integers using pointers. Discuss the advantage of using pointers as parameters to functions.

8M

Unit – IV

7. a) Explain how the structure variable passed as a parameter to a function with example? 6M b) Write a C program to maintain a record of “n” student details using an array of

structures with four fields (Roll number, Name, Marks, and Grade). Each field is of an appropriate data type. Print the marks of the student given student name as input.

9M

Cont…2

::2::

8. a) Explain bit fields in structure and enum data type in C with relevant examples. 6M b) Create a structure called Employee with the following fields: emp_name, emp_no.,

salary and Date_of_birth. Create another structure for date_of_birth with fields day, month and year. Write a C program to read and display the information of an employee using a structure within a structure.

9M

Unit – V

9. a) Explain the various file operations with syntax. 8M b) Write a C program to copy one file into another. Copy multiple characters simultaneously.

7M

10. a) Explain the following file stream functions: stdin, stdout, stderr. 6M b) Write a program that reads the file name and text of 20 words as command line

arguments. Write the text into a file whose name is given as the file name. 9M




ENGINEERING PHYSICS (Common to Electronics and Communication Engineering, Mechanical Engineering &

Civil Engineering) Date: 23 December, 2016 Time: 3 hours Max Marks: 75


Unit – I

1. a) Define the term Atomic packing factor. Calculate the atomic packing factor for Simple cubic, BCC and FCC crystal lattices.

10M

b) What are Miller Indices? Explain the procedure to determine the Miller Indices of a plane with an example.

5M

2. a) Why X-rays are used for crystal structure analysis? Discuss the method of investigating the crystal structure of a single crystal using X-rays.

10M

b) The atomic radius of lead is 1.746 Å. Determine the interplanar spacing for (220) planes assuming that lead belongs to FCC crystal system. Draw (220) plane in a cubic unit cell.

5M

Unit – II

3. a) Describe the Davisson-Germer experiment to demonstrate the wave characteristics of electrons.

8M

b) Define Fermi level. Explain the types of Semiconductors and show how the Fermi level is affected in each case.

7M

4. a) Describe the working principle of LED. What are the merits of LED? 6M b) Solve Schrödinger wave equation for particle in a 1-dim deep potential well of infinite

height and obtain Eigen values and normalized wave function for the same. Draw the nature of Eigen function and compute the Eigen value for the first excited state.

9M

Unit – III

5. a) What are nano materials? Explain Sol-gel and Chemical Vapor Deposition(CVD) method for preparation of nano materials.

9M

b) Explain the significance of surface to volume ratio. Give any three applications of nano materials from at least two different fields.

6M

6. a) Define dielectric constant. Evaluate local field for a dielectric with cubic structure. 11M b) A solid elemental dielectric with density 3x1028 atoms/m3 shows an electronic

polarizability of 10-40 Fm2. Assuming the internal field to be a Lorentz field, calculate the dielectric constant of the material.

4M

Unit – IV

7. a) Mention the properties and applications of soft and hard magnetic materials. Distinguish between paramagnetic and ferromagnetic materials.

10M

b) Define the term ferromagnetic domain. A magnetic material has a magnetization of 3000amp/m and a flux density of 0.005wb/m2. Calculate the magnetic force and the relative permeability of the field.

5M

Cont…2

::2::

8. a) Explain the properties of Type-I and Type-II Superconductors. Discuss in detail two

major applications of Superconductors. 9M

b) What are Cooper pairs? Calculate the critical current for a wire of Pb having a diameter of 3mm at 5K. The critical temperature for Pb is 8K and critical field is 5x104 Am-1 at 0K.

6M

Unit – V

9. a) Arrive at the expression for radiation field in terms of Einstein’s coefficients. Under what condition stimulated and spontaneous emissions become predominant? Discuss.

9M

b) Define the terms acceptance angle and Population Inversion. A pulsed Laser emits photos of wavelength 682nm with 25mW average power per pulse. Calculate the number of photons contained in each pulse, if the pulse duration is 20ns?

6M

10. a) Discuss the principle of light propagation in optical fiber. Derive an expression for the numerical aperture of an optical fiber.

9M

b) Mention the four causes of attenuation in optical fibers. The attenuation of light in an optical fiber is 2dB/km. Estimate the fraction of light that remains after traversing a fiber of length: i. 2 km ii. 5 km

6M




ENGINEERING CHEMISTRY

(Common to Electronics and Communication Engineering, Mechanical Engineering & Civil Engineering)



Unit – I

1. a) Define specific, equivalent and molar conductance with units. Explain the effect of dilution on these conductances.

6M

b) List the advantages of fuel cells. Explain the construction, working and applications of H2-O2 fuel cell.

9M

2. a) Define electrochemical corrosion. Explain the rusting of iron based on electrochemical theory of corrosion.

8M

b) Derive the Nernst equation for an electro chemical cell. Calculate the EMF, when a Zinc electrode is dipped in ZnSO4 containing 0.101M concentration. (Given, E°Zn

2+/Zn = - 0.76V.)

7M

Unit – II

3. a) Explain the process of softening of hard water by zeolite method with a neat diagram and relevant reactions.

7M

b) Define temporary, permanent and total hardness of water. Calculate the temporary, permanent and total hardness of water containing; Mg (HCO3)2: 146ppm; MgCl2: 47.5ppm; CaSO4 : 68ppm; and Ca (HCO3)2: 81ppm.

8M

4. a) Discuss the principle, merits and demerits of treatment of brackish water using Electro dialysis.

8M

b) A sample of water was analyzed and found to contain temporary magnesium bicarbonate hardness of 25ppm, permanent hardness of magnesium chloride of 150ppm, permanent hardness of Calcium sulphate of 20ppm, SiO2 -300mg/lit. Calculate lime and soda required to soften 30,000 liters of hard water.

7M

Unit – III

5. a) List the differences between thermoplastics and thermosetting plastics. Explain the process of Vulcanization of rubber.

7M

b) Describe the mechanism of conduction in poly acetylene by oxidative doping. Give the applications of conducting polymers.

8M

6. a) How is Portland cement manufactured and what is composition? 8M b) What is a refractory and how are they classified? Give two examples each.

7M

Unit – IV

7. a) Describe the origin of petroleum. Explain the three steps involved in the refining of petroleum.

9M

b) Explain Fischer Tropsch’s process of synthetic petrol.

6M

8. a) Describe the relative merits and demerits of solid, liquid and gaseous fuels. 8M b) Give any five characteristics of a good fuel. A sample of coal was found to have the

following percentage composition: C = 75%; H= 5.2%; O=12.1%; N = 3.2% and ash 4.5%. Calculate the minimum amount of air required for complete combustion of 1kg of coal.

7M

Cont…2

:: 2 ::

Unit – V

9. a) What is meant by “phase diagram”? With the help of one and two component phase diagrams, explain the following terms: i. Triple point ii. Eutectic point

7M

b) What are colloidal solutions? Differentiate between lyophobic and lyophilic colloidal solutions. Give at least two important properties of the colloidal solutions.

8M

10. a) Draw and explain the important features of phase diagram of water system and calculate the degrees of freedom at curves and regions.

9M

b) Discuss the applications of colloids in: i. Medicine ii. Industry iii. Nature

6M




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



Unit – I

1. a) Define the following: i. Triangle law of forces ii. Concurrent force system iii. Resultant force iv. Moment of force

7M

b) Determine the magnitude and angle θ of F so that the particle is in equilibrium. F1=4.5kN, F2=7.5kN, F3=2.25kN, α = 600, φ = 300

Fig.1

8M

2. a) A particle is acted upon by three forces equal to 40N, 80N and 120N, along the three sides of an equilateral triangle, taken in order. Find the magnitude and direction of the resultant force.

7M

b) State the parallelogram law of forces and show that the resultant 2 2R P Q when the

two forces P and Q are acting at right angles to each other. Find the value of R, if the angle between the forces is zero.

8M

Unit – II

3. a) State and explain Varignons theorem with example. 5M b) A revolving crane supported by a pivot C and a horizontal ring AB carries , besides its own

weight Q applied at D. Determine the reactions at points of support if P=4 tons, Q=2 tons, a=15cm, b=3cm, c= 6cm.

Fig.2

10M

Cont…2

:: 2 ::

4. a) Explain the various types of supports and their reactions. 7M b) A horizontal member AD of length 12m is acted upon by a set of forces as shown in Fig.3.

Determine the magnitude, direction and position of the resultant from A.

8M

Fig.3

Unit – III

5. a) Define limiting friction, angle of friction and explain about angle of repose. 5M b) Block A weighing 1000N rests over block B which weighs 2000N as shown in Fig.4. Block A

is tied to wall with a horizontal string. If the coefficient of friction between blocks A and B is 0.25 and between B and floor is 1/3, what should be the value of P to move the block B, if: i. P is horizontal ii. P acts at 30° upwards to horizontal

Fig.4

10M

6. a) The horizontal force is P. Determine the normal and frictional forces acting on the crate of weight W. The friction coefficient is μs. Given: W=300N, P=80N, μs=0.3, θ=200.

Fig.5

7M

b) The crate has a weight W and a center of gravity at G. Determine the height h of the tow rope so that the crate slips and tips at the same time. What horizontal force P is required to do this?

Fig.6

8M

Cont…3

:: 3 ::

Unit – IV

7. a) Locate the centroid of the area of a segment of a circle of radius R, which subtends an angle 2θ at the centre.

7M

b) Determine the Co-ordinates XC and YC of the centre of a 8cm diameter circular hole cut in a thin plate, so that this point will be the centriod of the shaded area shown in Fig.7

Fig.7

8M

8. a) Determine the centroid of the area bounded by the parabola y=kx2. 7M b) A body consisting of a cone with height h and hemisphere of radius r fixed on the same

base rests on a table, the hemisphere being in contact with the table. Find the centroid of the composite figure.

8M

Unit – V

9. a) Derive an expression for the moment of inertia of a circular section about the centroidal axis.

7M

b) Determine the moment of inertia and radius of gyration of the shaded area shown in Fig.8 about the horizontal centriodal axis.

Fig.8

8M

10. a) Determine the moment of inertia of the plane area bounded between the lines y = 4x+5, y=0, x=0 and x=3 about its horizontal centroidal axis.

7M

b) A brass cone with base diameter of 400mm and height 225mm is placed on a vertical aluminum cylinder of height 300mm and diameter 400mm. Density of brass = 85kN/m3 and density of aluminum = 25.6kN/m3. Determine the mass moment of inertia of the Composite body about the vertical geometrical axis.

8M




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



Unit – I

1. a) Construct the following: iii. A regular Pentagon having sides 30mm, with one of its sides inclined at 30o to HP iv. A regular hexagon having sides 30mm, with one of its sides perpendicular to HP

7M

b) Construct a diagonal scale of R.F=1:2 to show millimeter and centimeter to measure up to 35cm. show on the scale a distance of 23.6cm.

8M

2. a) Draw a plain scale to show kilometer and hectometer when R.F=1/35000 and long enough to measure 5km. Measure and mark 3.7km on the scale.

7M

b) The distance between two points on a map is shown by a line 25cm long. But the points are actually 1000km apart. Construct forward Vernier to read up to a single kilometer. Mark on the scale a length of 792km.

8M

Unit – II

3. a) An ellipse has the major axis and the minor axis in the ratio of 3:2. Draw the ellipse when the major axis is 135mm.

7M

b) Draw a hyperbola when half the transverse axis is 90mm, the abscissa is 60mm and double ordinate is 150mm.

8M

4. a) Draw the involute of a circle of diameter 40mm. also draw a tangent and normal at any point on the curve.

5M

b) Draw a hypocycloid of a circle of 50mm diameter which rolls inside another circle of 200mm diameter for one revolution. Draw a tangent and normal at any point on it.

10M

Unit – III

5. a) A point A is 30mm in front of VP and 40mm above HP. Another point B is 20mm behind VP and 35mm below HP. The horizontal distance between the points measured parallel to XY line is 60mm. Draw the three projections of the points. Join their front and top views.

5M

b) A line has its end A 10mm above HP and 15mm in front of VP. The end B is 55mm above HP and line is inclined at 300 to HP. The distance between the end projectors is 50mm. Draw the projections of the line. Determine the true length of the line and its inclination with VP.

10M

6. a) A point P is on HP and 30mm in front of VP. Another point Q is on VP and 40mm above HP. The distance between their projectors parallel to XY line is 50mm. Find the distance between their front and top views of the points P and Q.

5M

b) The point B of a line AB is on the horizontal plane. The top view ab of the line makes an angle of 300 with XY line, ab being 80mm. The point A is on the vertical plane and 50mm above the horizontal plane. Draw the top and front views of the line and obtain the true length of the line. Mark its traces on the two planes. Also find the inclinations of the line with the two planes.

10M

Cont…2

:: 2 ::

Unit – IV

7. a) A circular plate of negligible thickness and 60mm diameter appears as an ellipse in the top view, having its major axis 60mm and minor axis 30mm. Draw its projections and find the inclination of the plate with HP.

8M

b) A pentagonal plate of side 35mm is placed with its surface vertical and parallel to VP. Draw its projections when one of the sides is perpendicular to HP.

7M

8. A regular hexagon of side 35mm has a corner in the HP. Its surface is inclined at 450 to HP. The top view of the diagonal through the corner in HP makes an angle of 600 with VP. Draw its projections.

15M

Unit – V

9. A cone of base diameter 40mm and axis length 50mm is resting on HP on a point on the circumference of its base such that its apex is at 40mm above the HP and its top view of the axis is inclined at 600 to VP. Draw the top and front views of the solid. Also, determine the inclinations of the axis when the base is nearer to the observer.

15M

10. A hexagonal pyramid, base 30mm side and axis 60mm long has one of its slant edges on HP such that two of its triangular 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 450 to VP. Draw its projections when its base is nearer to the observer than its apex.

15M




MATHEMATICS-I (Common for All Branches)



Unit – I

1.

a) Solve 2 0xy xydyxe y ye

dx

7M

b) The temperature of the body drops from 0100 C to 075 C in 10 minutes when the

surrounding air is at 020 C . What will be its temperature after half an hour?

8M

2.

a) Solve 221 1

dyx x y x x

dx

7M

b) If radioactive carbon-14 has a half-life of 5750 years, what will remain of one gram after 3000 years?

8M

Unit – II

3.

a) Solve 3 2 23 3 1 xD D D y x e

7M

b) Solve 2

2

24 6 sin log

d y dyx x y x

dxdx

8M

4.

a) Solve 2 2 1 cosD D y x x

7M

b) Apply the method of variation of parameters to solve 2

2cosec

d yy x

dx

8M

Unit – III

5.

a) Obtain Taylor’s series expansion of log cos x about the point 3

x

up to the fourth

degree term.

8M

b) If (1 )u x y and v xy find the Jacobians

,

,

u vJ

x y

,

,

,

x yJ

u v

and verify that

1.JJ

7M

6. a) A rectangular box open at the top, is to have a volume of 32 cubic units. Find the dimensions of the box requiring least material for its construction.

8M

b) Evaluate 2

1 2

0

x

x

xy dy dx

by changing the order of integration.

7M

Unit – IV

7.

a) Find the Laplace transform of 1 cos 3

sin5 sin3t t

f t e t tt

8M

b) Using convolution theorem, obtain the inverse Laplace transform of

2 21 1

sF s

s s

7M

Cont…2

:: 2 ::

8.

a) Express

2, 0 2

4 , 2 4

8, 4

t t

f t t t

t

in terms of unit step function and hence find its Laplace

transform.

7M

b) Using the method of Laplace transform, solve the initial value problem:

2

24 5 5, 0 0, 0 0.

d y dyy y y

dt dt

8M

Unit – V

9.

a) If 2 32 3 ,f xz i yz j xz k

find:

iii. di f

iv. curl f

at the point 1, 1, 1

6M

b) Evaluate by Green’s theorem sin cosC

y x dx x dy where C is the triangle enclosed

by the lines 0, , 22

y x y x

9M

10.

a) If 3 2f x y i y z j x pz k

is solenoidal, find p .

5M

b) Verify Stoke’s theorem for 2 2 2F x y i xy j

over the box bounded by the planes

0, , 0,x x a y y b

10M




ENGINEERING PHYSICS (Common to Electronics and Communication Engineering, Mechanical Engineering &

Civil Engineering) Date: 23 December, 2016 Time: 3 hours Max Marks: 75


Unit – I

1. a) Define the term Atomic packing factor. Calculate the atomic packing factor for Simple cubic, BCC and FCC crystal lattices.

10M

b) What are Miller Indices? Explain the procedure to determine the Miller Indices of a plane with an example.

5M

2. a) Why X-rays are used for crystal structure analysis? Discuss the method of investigating the crystal structure of a single crystal using X-rays.

10M

b) The atomic radius of lead is 1.746 Å. Determine the interplanar spacing for (220) planes assuming that lead belongs to FCC crystal system. Draw (220) plane in a cubic unit cell.

5M

Unit – II

3. a) Describe the Davisson-Germer experiment to demonstrate the wave characteristics of electrons.

8M

b) Define Fermi level. Explain the types of Semiconductors and show how the Fermi level is affected in each case.

7M

4. a) Describe the working principle of LED. What are the merits of LED? 6M b) Solve Schrödinger wave equation for particle in a 1-dim deep potential well of infinite

height and obtain Eigen values and normalized wave function for the same. Draw the nature of Eigen function and compute the Eigen value for the first excited state.

9M

Unit – III

5. a) What are nano materials? Explain Sol-gel and Chemical Vapor Deposition(CVD) method for preparation of nano materials.

9M

b) Explain the significance of surface to volume ratio. Give any three applications of nano materials from at least two different fields.

6M

6. a) Define dielectric constant. Evaluate local field for a dielectric with cubic structure. 11M b) A solid elemental dielectric with density 3x1028 atoms/m3 shows an electronic

polarizability of 10-40 Fm2. Assuming the internal field to be a Lorentz field, calculate the dielectric constant of the material.

4M

Unit – IV

7. a) Mention the properties and applications of soft and hard magnetic materials. Distinguish between paramagnetic and ferromagnetic materials.

10M

b) Define the term ferromagnetic domain. A magnetic material has a magnetization of 3000amp/m and a flux density of 0.005wb/m2. Calculate the magnetic force and the relative permeability of the field.

5M

Cont…2

::2::

8. a) Explain the properties of Type-I and Type-II Superconductors. Discuss in detail two

major applications of Superconductors. 9M

b) What are Cooper pairs? Calculate the critical current for a wire of Pb having a diameter of 3mm at 5K. The critical temperature for Pb is 8K and critical field is 5x104 Am-1 at 0K.

6M

Unit – V

9. a) Arrive at the expression for radiation field in terms of Einstein’s coefficients. Under what condition stimulated and spontaneous emissions become predominant? Discuss.

9M

b) Define the terms acceptance angle and Population Inversion. A pulsed Laser emits photos of wavelength 682nm with 25mW average power per pulse. Calculate the number of photons contained in each pulse, if the pulse duration is 20ns?

6M

10. a) Discuss the principle of light propagation in optical fiber. Derive an expression for the numerical aperture of an optical fiber.

9M

b) Mention the four causes of attenuation in optical fibers. The attenuation of light in an optical fiber is 2dB/km. Estimate the fraction of light that remains after traversing a fiber of length: iii. 2 km iv. 5 km

6M




TECHNICAL ENGLISH

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



Unit – I

1. a) Does the writer of the lesson ‘Heaven’s Gate’ inspire you to visit the place? Why? 10M b) Match the following:

vi. Take after V. Disappoint vii. Play down W. Resemble viii. Bring up X. Less important ix. Bury the hatchet Y. Stop argument and become friends x. Look down upon Z. Care for somebody

5M

2. a) Mother Teresa loved the unloved. How? 10M b) Choose the appropriate one:

vi. My father is --------- RTC employee. (a /an/the) vii. She bumped her head ----------- the wall. (in /into / on) viii. They were -------- guided by others. (un/mis/dis) ix. He had a ------------ (loan/lone) to buy a car. x. (ill/mis/dis) – mannered: not polite

5M

Unit – II

3. a) What does the word ‘Connoisseur’ means? Why do you think the title is appropriate for the story?

10M

b) Choose the appropriate one: vi. One of the milk products ------ (is/are) not available here. vii. We shall have a party if weather ----------- (permits/allows) viii. Of all the containers in the van, the green one is the ----------

(heavy/ heaviest/ heavier) ix. She is the ---------- (beautiful) of all my friends. (more /most) x. Study of ancient objects is ---------------- (ancinetology /archaeology)

5M

4. a) Mr. Sam Pitroda is a great visionary. Comment. 8M b) Draft an official letter to the collector of your district with regard to the cleanliness of

your colony in view of the outbreak of dengue fever.

7M

Unit – III

5. a) How did the district administration handle the Tsunami disaster in Cuddalore? 10M b) Do as directed:

iv. Fill in the blank with the right question tag We are writing English exam today, _____?

v. Fill in the blank with the correct form of the verb The audience ____ enjoyed the programme. (has, have)

vi. Write the synonym of the word: grandeur iv. Write the antonym of the word: shabby v. Form a word using the suffix “ –ment”

5M

Cont…2

:: 2 ::

6. a) What did Martin Luther King Jr. dream of the Negroes in America? 10M b) Do as directed:

iv. Fill in the blank with the correct form of the verb Many a student ______ opting to study abroad. (is, are)

v. Fill in the blank with the right question tag You have prepared well for the exam,________?

vi. Write the synonym of the word: inevitable iv. Write the antonym of the word: enlightenment v. Form a word using the prefix ‘bene-’

5M

Unit – IV

7. a) What according to Satyajit Ray are the problems of casting in Indian Films? 8M b) Write a letter of application for doing Summer Internship in a manufacturing company.

7M

8. a) Prepare a resume for a software job. 8M b) Do as directed:

Write one word substitutes for the three expressions given below: ix. A small platform that a person stands on when giving a speech or conducting an

orchestra x. Indifference to pain and pleasure xi. The instrument used to measure the intensity of Earthquakes xii. Your performance pleased me. (change into passive voice) xiii. Choose the most relevant option for the following sentence: xiv. We need to furnish the___ status information in a CV/Resume. (marital, martial) xv. Write the synonym of the word: rubble xvi. Write the antonym of the word: donor

7M

Unit – V

9. a) What are the issues addressed by Obama in his speech? 10M b) Match the following:

vi. Spendthrift V. Omniscient vii. All powerful W. Omnipotent viii. Present everywhere X. Bibliophile ix. All knowing Y. Spending money carelessly x. One who loves books Z. Omnipresent

5M

10. Submit a detailed report to your principal on the recently held ‘Freshers’ Day’ celebrations. 15M




ENGINEERING CHEMISTRY

(Common to Electronics and Communication Engineering, Mechanical Engineering & Civil Engineering)



Unit – I

1. a) Define specific, equivalent and molar conductance with units. Explain the effect of dilution on these conductances.

6M

b) List the advantages of fuel cells. Explain the construction, working and applications of H2-O2 fuel cell.

9M

2. a) Define electrochemical corrosion. Explain the rusting of iron based on electrochemical theory of corrosion.

8M

b) Derive the Nernst equation for an electro chemical cell. Calculate the EMF, when a Zinc electrode is dipped in ZnSO4 containing 0.101M concentration. (Given, E°Zn

2+/Zn = - 0.76V.)

7M

Unit – II

3. a) Explain the process of softening of hard water by zeolite method with a neat diagram and relevant reactions.

7M

b) Define temporary, permanent and total hardness of water. Calculate the temporary, permanent and total hardness of water containing; Mg (HCO3)2: 146ppm; MgCl2: 47.5ppm; CaSO4 : 68ppm; and Ca (HCO3)2: 81ppm.

8M

4. a) Discuss the principle, merits and demerits of treatment of brackish water using Electro dialysis.

8M

b) A sample of water was analyzed and found to contain temporary magnesium bicarbonate hardness of 25ppm, permanent hardness of magnesium chloride of 150ppm, permanent hardness of Calcium sulphate of 20ppm, SiO2 -300mg/lit. Calculate lime and soda required to soften 30,000 liters of hard water.

7M

Unit – III

5. a) List the differences between thermoplastics and thermosetting plastics. Explain the process of Vulcanization of rubber.

7M

b) Describe the mechanism of conduction in poly acetylene by oxidative doping. Give the applications of conducting polymers.

8M

6. a) How is Portland cement manufactured and what is composition? 8M b) What is a refractory and how are they classified? Give two examples each.

7M

Unit – IV

7. a) Describe the origin of petroleum. Explain the three steps involved in the refining of petroleum.

9M

b) Explain Fischer Tropsch’s process of synthetic petrol.

6M

8. a) Describe the relative merits and demerits of solid, liquid and gaseous fuels. 8M b) Give any five characteristics of a good fuel. A sample of coal was found to have the

following percentage composition: C = 75%; H= 5.2%; O=12.1%; N = 3.2% and ash 4.5%. Calculate the minimum amount of air required for complete combustion of 1kg of coal.

7M

Cont…2

:: 2 ::

Unit – V

9. a) What is meant by “phase diagram”? With the help of one and two component phase diagrams, explain the following terms: iii. Triple point iv. Eutectic point

7M

b) What are colloidal solutions? Differentiate between lyophobic and lyophilic colloidal solutions. Give at least two important properties of the colloidal solutions.

8M

10. a) Draw and explain the important features of phase diagram of water system and calculate the degrees of freedom at curves and regions.

9M

b) Discuss the applications of colloids in: iv. Medicine v. Industry vi. Nature

6M




PROBABILITY THEORY AND NUMERICAL METHODS (Common to Computer Science and Engineering, Information Technology &

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


Unit – I

1. a) A can hit a target 3 times in 5 shots, B 2 times in 5 shots and C 3 times in 4 shots. They fire a volley. What is the probability that: iii. Two shots hit iv. Atleast 2 shots hit

8M

b) Find the probability of drawing 2 red balls in succession from a bag containg 4 red and 5 black balls when the ball that is drawn first is: iii. Not replaced iv. Replaced

7M

2. a) State and prove Baye’s Theorem. 7M b) Three machines A, B, C produce 25%, 30% and 45% of the total number of items of a

factory. The percentage of defective output of these machines are respectively 5%, 4%, 3%. An item is selected at random and is found defective. Find the probability that the item was produced by machine C.

8M

Unit – II

3. a) A die is thrown thrice, a success is getting 1 or 5 on a toss. Find Mean and variance of number of success.

8M

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

, 0, 0

0 ,

xf x kxe for x

otherwise

Determine: iii. k iv. Mean

7M

4. a) The probability that A hits a target 0.5. He fires 6 times. Find the probability that he hits the target: iii. Exactly 2 times iv. More than 4 times

7M

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

8M

Unit – III

5. a) Apply Newton-Raphson method to find the real root of10log 1.2 0x x 7M

b) Construct the missing values in the following table:

x 0 5 10 15 20 25 y 6 10 - 17 - 31

8M

Cont…2

::2::

6. a) If (1) 3, (3) 9, (4) 30, (6) 132y y y y , then find )5(y using Lagrange’s

interpolation formula.

7M

b) From the data given in the following table, find the number of students who obtained: iii. Less than 45 marks iv. Between 41 and 45 marks

x 30-40 40-50 50-60 60-70 70-80 y 31 42 51 35 31

8M

Unit – IV

7.

a)

Using least squares method fit a second degree polynomial for the following data:

x 10 12 15 23 20 y 14 17 23 25 21

8M

b) A solid of revolution is formed by rotating about the x-axis, the area between the x-axis,

the lines 0 1x and x and a curve through the points with the following co-ordinates:

x 0 0.25 0.5 0.75 1 y 1 0.9896 0.9589 0.9089 0.8415

Estimate the area of the solid formed using Simpson’s rule.

7M

8. a) If P is the pull required to lift a load W by means of a pulley block, find a linear law of the form P mW c by using the following data. Also find P when 150KgW

P 12 15 21 25

W 50 70 100 120

7M

b)

A function ( )y f x is given by the following table:

X 1 1.2 1.4 1.6 1.8 2.0

f x 0.0 0.128 0.544 1.296 2.432 4.00

Find the approximate values of 1.2f and 1.2f by using suitable interpolation

formula.

8M

Unit – V

9.

a) Solve 2yxdx

dy , given 0 1y . Find 0.1 , 0.2y y by Taylor’s series.

8M

b) Using modified Euler’s method find 0.2 , 0.4y y givenxey

dx

dy , 0 0y

7M

10.

a) Find 0.1 , 0.2y y using Runge-Kutta Fourth order method given that 2yxydx

dy

and 0 1y

7M

b) Given 2yxdx

dy and 0 1, 0.1 0.91173, 0.2 0.8494 , 0.3 0.8061,y y y y

evaluate 0.4y by Adams-Bashforth method.

8M




BASIC ELECTRICAL ENGINEERING

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



Unit – I

1. a) State and explain Kirchhoff law with an example for each. 7M b) Three resistors R1, R2, R3 are connected in series with a constant voltage source of ‘V’

volts. The Voltage across R1 is 4V, power loss in R2 is 16W and the value of R3 is 6 ohms. If the current flowing through the circuit is 2A, find the voltage V.

8M

2. a) If ‘n’ number of resistors are connected in series, derive the expression for equivalent resistance.

5M

b) Find the currents flowing in the branches and total current in the circuit shown in Fig. 1. All the resistances are in ohms and assume that the branch having 10V voltage source has 10Ω resistance.

Fig.1

10M

Unit – II

3. a) Find the current drawn from the source and each resistor in the Fig.2. shown using star delta transformation. Take R1 =100 Ω ,R2 = 300 Ω.

Fig.2

9M

b) For the resistive circuit shown Fig.3. obtain the equivalent resistance as seen between nodes ab.

Fig.3

6M

Cont…2

:: 2 ::

4. a) Define oriented graph and sub graph. For the graph shown in Fig.4, take 5,6,7,8 as tree, write co tree and cut sets.

Fig.4

7M

b) Find the current in the i1 and i2 using mesh current method.

Fig.5

8M

Unit – III

5. a) Define the following term with respect to the sinusoidal quantity: v. RMS value vi. Average Value vii. Form factor viii. Peak factor

8M

b) Find the current in the Ib,, Ic and Vg of the circuit shown. The current Ia=2+j0.

Fig.6

7M

6. a) Show that the current leads voltage by 900 in pure capacitor. Also draw the voltage and current wave forms.

7M

b) A series RLC circuit is composed of 10Ω resistance, 0.1H inductance and 50.0µF capacitance. A voltage v(t)=141.1cos(100πt), Volts is impressed upon the circuit. iv. Find the phasor current in the circuit v. Find the expression for instantaneous current vi. Calculate voltage drops VR, VL and VC across resistor, inductor and capacitor,

respectively

8M

Unit – IV

7. a) State and explain Thevenin’s theorem with an example. 7M b) What Load resistance must be connected across the terminals A and B in the circuit

Shown below so that maximum power is delivered to the Load and also find the maximum power delivered to it?

Fig.7

8M

Cont…3

:: 3 ::

8. a) State and explain Norton’s theorem with example. 6M b) Find the Norton’s equivalent between the terminals a and b of the circuit shown in Fig.8

and find the voltage across impedance Z4.

Fig.8

9M

Unit – V

9. a) State ‘h’ parameters and represent ‘h’ parameters in terms of ‘z’ parameters. 7M b) A two port network has the following parameters, Z22 = 40Ω, Z11 = 30Ω and Y12 = 0.05

mhos. Calculate the ABCD parameters.

8M

10. a) Derive an expression to represent the given ABCD parameters in terms of ‘Z’ parameters. 7M b) For the network shown in Fig.9, find the Y parameters.

Fig.9

8M




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



Unit – I

1. a) Define the following: v. Triangle law of forces vi. Concurrent force system vii. Resultant force viii. Moment of force

7M

b) Determine the magnitude and angle θ of F so that the particle is in equilibrium. F1=4.5kN, F2=7.5kN, F3=2.25kN, α = 600, φ = 300

Fig.1

8M

2. a) A particle is acted upon by three forces equal to 40N, 80N and 120N, along the three sides of an equilateral triangle, taken in order. Find the magnitude and direction of the resultant force.

7M

b) State the parallelogram law of forces and show that the resultant 2 2R P Q when the

two forces P and Q are acting at right angles to each other. Find the value of R, if the angle between the forces is zero.

8M

Unit – II

3. a) State and explain Varignons theorem with example. 5M b) A revolving crane supported by a pivot C and a horizontal ring AB carries , besides its own

weight Q applied at D. Determine the reactions at points of support if P=4 tons, Q=2 tons, a=15cm, b=3cm, c= 6cm.

Fig.2

10M

Cont…2

:: 2 ::

4. a) Explain the various types of supports and their reactions. 7M b) A horizontal member AD of length 12m is acted upon by a set of forces as shown in Fig.3.

Determine the magnitude, direction and position of the resultant from A.

8M

Fig.3

Unit – III

5. a) Define limiting friction, angle of friction and explain about angle of repose. 5M b) Block A weighing 1000N rests over block B which weighs 2000N as shown in Fig.4. Block A

is tied to wall with a horizontal string. If the coefficient of friction between blocks A and B is 0.25 and between B and floor is 1/3, what should be the value of P to move the block B, if: iii. P is horizontal iv. P acts at 30° upwards to horizontal

Fig.4

10M

6. a) The horizontal force is P. Determine the normal and frictional forces acting on the crate of weight W. The friction coefficient is μs. Given: W=300N, P=80N, μs=0.3, θ=200.

Fig.5

7M

b) The crate has a weight W and a center of gravity at G. Determine the height h of the tow rope so that the crate slips and tips at the same time. What horizontal force P is required to do this?

Fig.6

8M

Cont…3

:: 3 ::

Unit – IV

7. a) Locate the centroid of the area of a segment of a circle of radius R, which subtends an angle 2θ at the centre.

7M

b) Determine the Co-ordinates XC and YC of the centre of a 8cm diameter circular hole cut in a thin plate, so that this point will be the centriod of the shaded area shown in Fig.7

Fig.7

8M

8. a) Determine the centroid of the area bounded by the parabola y=kx2. 7M b) A body consisting of a cone with height h and hemisphere of radius r fixed on the same

base rests on a table, the hemisphere being in contact with the table. Find the centroid of the composite figure.

8M

Unit – V

9. a) Derive an expression for the moment of inertia of a circular section about the centroidal axis.

7M

b) Determine the moment of inertia and radius of gyration of the shaded area shown in Fig.8 about the horizontal centriodal axis.

Fig.8

8M

10. a) Determine the moment of inertia of the plane area bounded between the lines y = 4x+5, y=0, x=0 and x=3 about its horizontal centroidal axis.

7M

b) A brass cone with base diameter of 400mm and height 225mm is placed on a vertical aluminum cylinder of height 300mm and diameter 400mm. Density of brass = 85kN/m3 and density of aluminum = 25.6kN/m3. Determine the mass moment of inertia of the Composite body about the vertical geometrical axis.

8M




COMPUTER PROGRAMMING (Common for All Branches)



Unit – I

1. a) Explain the following operators with relevant examples: iv. Bitwise operators v. Increment and Decrement operators vi. Arithmetic operators

9M

b) Write a flow chart and an algorithm to check whether a number is positive, negative or zero.

6M

2. a) Explain the formatted and unformatted input and output statements with proper syntax and examples.

9M

b) Evaluate the following expression: iii. x=a-b/3+c*2-1, where a= 9, b=12 and c=3 iv. x=(a*b)+(b-c) /(a+b), where a= 9, b=12 and c=3

6M

Unit – II

3. a) Discuss the types of looping constructs in C language with relevant examples. 9M b) Write a C program to enter a decimal number. Calculate and display the binary equivalent

of this number.

6M

4. a) Explain the string I/O functions with syntax and examples. Write a C program to concatenate two strings.

9M

b) Write a C program to input a square matrix of order m m m and find whether the

matrix is symmetric or not.

6M

Unit – III

5. a) Explain with an example, the function prototype, different types of passing parameters to functions.

9M

b) Write a C function isprime(num) that accepts an integer argument and returns 1 if the argument is prime, a 0 otherwise. Write a C program that invokes this function to generate prime numbers between the given ranges.

6M

6. a) Define Recursion. List the advantages of recursion. Write a C program to find the sum of natural numbers using recursion.

7M

b) Write a program in C using a function named Exchange and swap two integers using pointers. Discuss the advantage of using pointers as parameters to functions.

8M

Unit – IV

7. a) Explain how the structure variable passed as a parameter to a function with example? 6M b) Write a C program to maintain a record of “n” student details using an array of

structures with four fields (Roll number, Name, Marks, and Grade). Each field is of an appropriate data type. Print the marks of the student given student name as input.

9M

Cont…2

::2::

8. a) Explain bit fields in structure and enum data type in C with relevant examples. 6M b) Create a structure called Employee with the following fields: emp_name, emp_no.,

salary and Date_of_birth. Create another structure for date_of_birth with fields day, month and year. Write a C program to read and display the information of an employee using a structure within a structure.

9M

Unit – V

9. a) Explain the various file operations with syntax. 8M b) Write a C program to copy one file into another. Copy multiple characters simultaneously.

7M

10. a) Explain the following file stream functions: stdin, stdout, stderr. 6M b) Write a program that reads the file name and text of 20 words as command line

arguments. Write the text into a file whose name is given as the file name. 9M

question paper code: a3001 (autonomous) b. tech i semester ... · is given by the following table:...

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