four year b. tech i semester regular-supplementary examinations february -...

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Hall Ticket No. : Question Paper Code :ABS11T01

VARDHAMAN COLLEGE OF ENGINEERING

(AUTONOMOUS)

Four Year B. Tech I Semester Regular/Supplementary Examinations February - 2013

(Regulations: VCE-R11)

MATHEMATICS - I (Common for All Branches)

Time: 3 hours Max Marks: 75

Answer ONE question from each Unit

All Questions Carry Equal Marks

All parts of the question must be answered in one place only

Unit – I

1

a) Solve ( )3 2sin 2 cos cos 0r d r r drθ θ θ θ+ − + = 7M

b) Show that the family of parabolas ( )2 4y a x a= + is self orthogonal, where a is the

parameter.

8M

2

a) Solve ( )11 cos log sin 0y y dx x x x y dy

x

+ + + + − =

7M

b) Find the orthogonal trajectory of the family of curves ( )sinn nr a nθ= , where a is

the parameter.

8M

Unit – II

3

a) Solve ( )3

27 6 13

d y dy xy e xdxdx

− − = +

7M

b) By the method of variation of parameter, solve '' 3 ' 2xey y y e+ + =

8M

4

a) Solve the differential equation given that 2 2'' 2 ' cosxy y y e x+ + = − with

( ) 10

9y = , ( ) 2

' 09

y =

8M

b) By the method of variation of parameter solve

1'' 3 ' 2

1y y y xe

− + = −+

7M

Unit – III

5

a) Prove that if 0 1a b< < < , 1 1

2 2tan tan

1 1

b a b ab a

b a− −− −< − <

+ +

7M

b) If ( )1 ,x u v y uv= − = , prove that 1 1JJ =

8M

6 Given x y z a+ + = , find the maximum value of m n px y z

15M

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Unit – IV

7

a) Evaluate

0

, 0, 0at bte e

dt a bt

∞ − −− > >∫ 7M

b) Explain the following in terms of unit step function and find its Laplace transform

( ) 0 4

5 4

t tf t

t

< ≤= >

8M

8 Find the Laplace transform of the following function of period 2a

( ) 0

2 2

t for t af t

a t for a t a

< ≤= − < <

15M

Unit – V

9

a) Show that ( ) ( )2 21n nr n n r −∇ = + 7M

b) Using Green’s theorem evaluate ( ) ( )sin cosy x dx x dyC

− +∫

where C is the plane triangle enclosed by the lines 0;2

y xπ= = and

2y x

π=

8M

10 Verify Green’s theorem for 2 2xy y dx x dyC

+ +∫ where C is bounded by y x= and

2y x=

15M

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(AUTONOMOUS)



ENGINEERING PHYSICS (Common to Electrical and Electronics Engineering, Civil Engineering, Mechanical Engineering, and

Aeronautical Engineering)





Unit – I

1 a) With neat diagrams write any five crystal systems with lattice parameters. 5M

b) Describe inter atomic forces and derive an expression for the equilibrium spacing

between two atoms.

5M

c) For the face centered crystal system find atomic lattice, co ordination number and

atomic packing fraction.

5M

2 a) Explain

i) Ionic bond and

ii) Hydrogen bond in solids and also explain the relevant properties of solids due to

these bondings.

6M

b) Describe the structures of ZnS. 5M

c) Calculate the inter atomic radius and atomic packing factor for bcc structure.

4M

Unit – II

3 a) Describe with suitable diagram the powder method for determination of crystal

structure.

5M

b) What are Miller indices? Write the indexing procedure for the Miller indices. 5M

c) Describe the laser ablation technique used to produce nano materials. What are the

advantages and drawbacks of this method?

5M

4 a) Derive Bragg’s law of X-ray diffraction and write its significance. 5M

b) What are the nano materials? Describe the thermal vapour deposition technique to

produce nano materials. What are the advantages and drawbacks of this method?

7M

c) In a cubic crystal draw the planes (101) (123) and (001) planes.

3M

Unit – III

5. a) Briefly explain de Broglie hypothesis and justify the same with Davisson-Germer

experiment with neat labeled diagrams.

10M

b) Write a short note on effective mass of an electron in a periodic potential lattice.

5M

6. a) Explain the classification of solids into conductors, semiconductors and insulators

based on band theory of solids

8M

b) State the physical significance of a wave function. Calculate the probability of locating a

proton between x = 0.15L and x = 0.45L of first excited state of a 1-D potential well of

infinite height and of width Lm.

7M

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Unit – IV

7 a) Explain in detail, piezo-electricity and Ferro-electricity with relevant figures. 7M

b) Explain domain theory of ferromagnetism. 4M

c) The atomic weight and density of sulphur are 32 and 2.08 gm cc-1 respectively. The

electronic polarisability of the atom is 3.28 x 10-10 Fm2. If sulphur solid has cubical

symmetry, calculate its relative dielectric constant.

4M

8 a) What is superconductivity? Explain BCS theory of superconductivity. 7M

b) Define internal field in solid and liquid dielectrics and derive the equation for internal

field in case of a linear chain of dipoles and extend it to a solid dielectric with cubic

symmetry.

8M

Unit – V

9 a) Explain with neat figures, the construction and working of He-Ne laser. 8M

b) Explain the principle of optical fiber. Calculate the power output from the optical fiber

of Length 4650 m, if its attenuation coefficient is 3.4 dB km-1 and the input power is 54

mW.

7M

10 a) Discuss different types of optical fiber. 6M

b) Explain with principle, the construction and working of a semiconductor diode laser 5M

c) Derive the equation for numerical aperture in terms of refractive indices of core and

cladding.

4M

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(AUTONOMOUS)

Four Year B. Tech I Semester Regular Examinations February - 2013


ENGINEERING CHEMISTRY

(Common to Electrical and Electronics Engineering, Civil Engineering, Mechanical Engineering and






Unit – I

1 a) State Kohlrauch’s law . Explain any two important applications of the law. 8M

b) What is a galvanic cell? With an example explain the construction and the working of a

galvanic cell along with electrode reactions.

7M

2 a) Write a short note on

i) Galvanic series

ii) Equivalent conductance

8M

b) Explain the construction and working of H2-O2 fuel cell with a neat sketch.

7M

Unit – II

3 a) Name four salts which cause hardness in water. Calculate carbonate hardness and

non-carbonate hardness of a sample of water which contains 81mg of ( )3 2Ca HCO ,

7.3mg of ( )3 2Mg HCO , 62mg of 3NaHCO , 10.88mg of 4CaSo and 26.13 of 2MgCl

per litre of water in terms of ppm of 3CaCO .

Given: (Atomic weight of Ca - 40, H – 1, C – 12, O – 16, Cl - 35.5, S – 32, Mg - 24,

Na - 23)

8M

b) What is potable water? With the help of a neat diagram describe the process of

electrodialysis.

7M

4 a) What are Zeolites? Describe the process of softening hard water with the help of

Zeolites. Why is water softened by Zeolites not fit to be used in boilers?

8M

b) Explain the following terms of expressing hardness of water:

i. Clarke’s degree

ii. ppm

iii. Degree French

7M

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Unit – III

5 a) What are plastics? Differentiate thermoplastics and thermosetting plastics. 8M

b) Derive Langmuir adsorption isotherm. What are its limitations?

7M

6 a) What is a colloidal solution? Explain any two electrical properties of colloidal solutions. 8M

b) Define polymerization. Explain different types of polymerization reactions with

examples.

7M

Unit – IV

7 a) What do you understand by proximate coal analysis? Highlight its significance. 8M

b) Discuss how Orsat’s method can be used for analysis of varies 2,CO CO and 2O . Why

is it necessary to maintain the correct order for absorption of these gases?

7M

8 a) List the various steps involved in refining of petroleum. At what temperatures are

Kerosene, diesel and gasoline obtained. How do they differ in their composition?

8M

b) Calculate the volume of air required for complete combustion of 31m of gaseous fuel

having the composition: 4 2 2 2 246%, 10%, 4%, 2%, 1%CO CH H C H N= = = = = .

7M

Unit – V

9 a) Draw a labeled phase diagram of water and indicate normal boiling point, normal

melting point, triple point and critical point on the diagram. Explain why the solid –

liquid curve for water has a negative slope.

8M

b) Write the composition of Portland cement? Briefly outline the steps involved in

manufacturing process of Portland cement.

7M

10 a) Define lubricants. What are the functions of lubricant? Give two examples of

lubricants.

7M

b) Write two applications each of electrical insulator and thermal insulator. Discuss two

properties which an electrical insulator should possess.

8M

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(AUTONOMOUS)



ENVIRONMENTAL SCIENCE

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

Communication Engineering)





Unit – I

1 a) Environmental Studies as a subject, discuss the knowledge acquired by the

multidisciplinary nature of Environmental Studies.

7M

b) List the ecological benefits of forest resources, Over exploitation of forests, keeping it

as a major issue of concern, discuss the effects caused on the environment.

8M

2 a) Construction of dams being a boon to the human civilization is a bane too. Give a brief

explanation on the topic.

8M

b) Define the terms water logging and salinity. List the major affects caused by following

the modern agricultural methods.

7M

Unit – II

3 a) Explain structure of an ecosystem. With a neat sketch explain the energy flow in the

ecosystem.

10M

b) Define Biodiversity. What are different types of biodiversity; also list the threats to

biodiversity.

5M

4 a) Explain with a neat sketch

i. Food chain

ii. Food web

iii. Ecological pyramids

8M

b) Conservation of biodiversity is done by two methods. Explain them with examples.

7M

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Unit – III

5 a) Correlate between soil erosion and deforestation. 7M

b) Write a note on chemical disasters and emergency preparedness for the same.

8M

6 a) “Water is a precious natural resource”. Justify the statement. 7M

b) Explain the impacts of improper solid waste disposal on environment.

8M

Unit – IV

7 a) Is Information Technology necessary in environmental management? Explain. 8M

b) The existing environmental problems can be solved to a great extent by adopting

“Polluter Pays Principle”. Discuss.

7M

8 a) Discuss the importance of green building practices in the current environmental

scenario.

8M

b) Discuss the environmental impact of carbon credits.

7M

Unit – V

9 a) Write a brief account on Environmental Ethics with possible solutions. 7M

b) Discuss the highlights of Water (Prevention and Control of Pollution) Act, 1974.

8M

10 a) Discuss the salient features of Air (Prevention and Control of Pollution) Act. 8M

b) Discuss the issues involved in enforcement of environmental legislation. 7M

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(AUTONOMOUS)



PROBABILITY, STATISTICS AND COMPUTATIONAL TECHNIQUES (Common to Computer Science and Engineering, Information Technology, Civil Engineering and






Unit – I

1 a) It is known that two defective copies of a commercial software program were

erroneously sent to a shipping lot that has now a total of 75 copies of the program. A

sample of copies will be selected from the lot without replacement.

i. If three copies of the software are inspected, determine the probability that

exactly one of the defective copies will be found.

ii. If three copies of the software are inspected, determine the probability that

both defective copies will be found.

8M

b) Because not all airline passengers show up for their reserved seat, an airline sells 125

tickets for a flight that holds only 120 passengers. The probability that a passenger

does not show up is 0.10, and the passengers behave independently.

i. What is the probability that every passenger who shows up can take the flight?

ii. What is the probability that the flight departs with empty seats?

7M

2 The time it takes a cell to divide (called mitosis) is normally distributed with an average time

of one hour and a standard deviation of 5 minutes.

15M

i. What is the probability that a cell divides in less than 45 minutes?

ii. What is the probability that it takes a cell more than 65 minutes to divide?

iii. What is the time that it takes approximately 99% of all cells to complete mitosis?

Unit – II

3 a) Test the significance between the means of the samples drawn from two populations

with standard deviation using the following data at 5% LOS

Size Mean S.D.

Sample I: 100 61 4

Sample II: 200 63 6

8M

b)

A machinist is expected to make engine parts with axle diameter of 1.75cm. A random

sample of 10 parts shows a mean diameter of 1.85 cm, with a S.D. of 0.1cm on the basis

of this sample, would you say that the work of the machinist is inferior at 5% LOS?

7M

4 a) The following data is collected on two characters. Based on this, can you say that there

is no relation between smoking and literacy test at 5% LOS.

Smokers Non Smokers

Literates: 83 57

Illiterates: 45 68

8M

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b) The mean value of a random sample of 60 items was found to be 145 with a S.D of 40.

Find the 95% confidence limits for the population mean.

7M

Unit – III

5 a) Using Regula-False method find a root of ( ) 01346 =−−−= xxxxf in (1, 2). Carry

out three iterations.

7M

b) Using Lagrange’s interpolation, find a polynomial which passes through the points

( ) ( ) ( ) ( )12,4,6,3,0,1,12,0 − .

8M

6 a) Given 8660.060sin,8192.055sin,7660.050sin,7071.045sin ==== oooo

, find

o48sin using an appropriate interpolation formula.

8M

b) Given

:x 0.1 0.2 0.3 0.4 :y 1.1051 1.2214 1.34988 1.49182

Find 'y at 4.0=x .

7M

Unit – IV

7

a) Fit a curve of the form xaby = for the following data:

:x 1 2 3 4 5 6 7 8 :y 1.0 1.2 1.8 2.5 3.6 4.7 6.6 9.1

8M

b) The velocity V of a particle at distance s from a point on its path is given by the

following table

s in mts: 0 10 20 30 40 50 60

V in m/sec: 47 58 64 65 61 52 38

Estimate the time taken to travel 60mts using Simpson’s ⅓ rule.

7M

8

a) Fit a parabola of the form, 2cxbxay ++= for the following data

:x 1 2 3 4 5 6 7 8 9 :y 2 6 7 8 10 11 11 10 9

8M

b) Evaluate ∫4

1

1dxxe by using Simpson’s ⅜ rule by dividing the interval into 3 equal parts.

7M

Unit – V

9 a) Employing modified Eulers method solve the initial value problem

( ) 10,' =+= yyxy for 4.0,2.0=x .

8M

b) Using Taylor series method find an approximate value of y at 2.0=x for the

differential equation ( ) 00,32' =+= yxeyy . Compare this solution with Exact

solution.

7M

10 Given ( ) 00,21 =+= yydx

dy. Find ( ) ( ) ( )6.0,4.0,2.0 yyy using any numerical method and

then find ( )8.0y using Milne’s Predictor-Corrector method.

15M

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(AUTONOMOUS)



COMPUTATIONAL TECHNIQUES (Mechanical Engineering)





Unit – I

1 a) Obtain the root of 0cos =− xx starting with ( )8.0,5.0 by the method of false position 8M

b) Find the root of 0=+ xex by the Newton – Raphson method starting with

5.00 −=x

7M

2 a) Solve the system of Linear Equations

1103

5421

723

22

151

6

8532

6127

=++

=++

=−+

xxx

xxx

xxx

by Jacobi method, up to two places of decimal in the computation

8M

b) Solve the System of Equations

1210

1210

1210

=++=++=++

zyx

zyx

zyx

by applying Gauss Seidel iterative method

7M

Unit – II

3 a) The function )(xfy = is given at the points (7,3), (8,1), (9,1) and (10,9). Find the value

of y 5.9=x using Lagrange’s interpolation formula

10M

b) Find the complete solution of the difference equation

064132 =+−+−+ nynyny

5M

4 The following table gives the marks secured by 100 students in the advanced probability

subjects:

Range of marks 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80

No. of students 25 35 22 11 07

Use Newton’s forward difference interpolation formula to find:

15M

a) The number of students who got more than 55 marks

b) The number of students who secured marks in the range from 36 to 45

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Unit – III

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

axis, the lines 0=x and 1=x and a curve through the points with the following

co-ordinates

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

x 0.00 0.25 0.50 0.75 1.00

y 1.0000 0.9896 0.9589 0.9089 0.8415

7M

b) Fit a power curve baxy = from the following data

x 1 2 3 4 5

y 0.5 2 4.5 8 12.5

8M

6

a)

Fit a straight line bxay += in the least square sense for the data

x 1 3 4 6 8 9 11 14 y 1 2 4 4 5 7 8 9

7M

b)

Find the first and second derivatives of the function tabulated below, at the

Point 5.1=x

x 1.5 2.0 2.5 3.0 3.5 4.0

( )xf 3.375 7.0 13.625 24.0 38.875 59.0

8M

Unit – IV

7 a) Obtain Picard’s second approximate solution of the initial value problem

( ) 00,12

2=

+= y

y

x

dx

dy

7M

b) Using Euler’s method, find approximate solution of the problem ( ) 10,' =−= yyxy at

the points 0.2 and 0.4 taking the step length 2.0=h

8M

8

a) Using Runga-kutta method of fourth order solve xydx

dy2=+ at 1.1=x given that

3=y at 1=x initially

7M

b) Using Adam’s – Bashforth method find ( )4.1y given

( ) ( ) ( ) ( ) 548.12.1,233.11.1,11,12' ===+= yyyyxy and ( ) 979.13.1 =y

8M

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Unit – V

9 Solve : xx

ut

u = subject to conditions ( ) ( ) ( ) ( )xxututu πsin0,,0,1,0,0 === for

1.00 ≤≤ t by taking 2.0=h . Write down the following values from the table

(a) u (0.2, 0.04) (b) u (0.4, 0.08) (c) u (0.6, 0.06)

15M

10 Solve the elliptic equation 0=+yy

uxx

u for the following square mesh with boundary

values as shown. Find the first iterative values of ( )91toii

u = to the nearest integer.

15M

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Hall Ticket No. : Question Paper Code :ACS11T01


(AUTONOMOUS)



COMPUTER PROGRAMMING

(Common to Computer Science and Engineering, Information Technology, Electrical and

Electronics Engineering and Electronics and Communication Engineering)





Unit – I

1 a) What do you mean by algorithm? Design a flowchart to find the largest of three numbers.

8M

b) What is an identifier? Highlight the different rules to be followed to write valid identifiers in C programming language.

7M

2 a) With the aid of a block diagram discuss the basic hardware units of a computer system.

8M

b) Let 15.0, 6.0, 4.0, 3.0, 4.0a b c x y= = = = = , What is the result of the

expression ( ) ( ) ( )5.5 9.5 & &a b c x y− ≥ < ≥ ?

7M

Unit – II

3 a) With the syntax and the example discuss the working of for loop. 8M

b) Define recursion. Write a C program to calculate 2m where 0m ≥ , use recursive

function for the calculation.

7M

4 a) Write a program in C which does the following:

i) Reads the matrix.

ii) Checks whether it is identity matrix or not.

iii) Prints the matrix.

9M

b) What is the usage of the break, continue and goto statements? 6M

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Unit – III

5 a) Explain the strcat() and strncat() library functions with the syntax and the example. 8M

b) Define an user defined function which finds the length of a given string (without using

string library function strlen()). Pass the string as the input parameter to the function

and the function has to return the calculated string length.

7M

6 a) Write a short note on dynamic memory allocation. 6M

b) Define the following and give an example for each:

i) Pointer

ii) pointer to pointer

iii) array of pointers

9M

Unit – IV

7 a) Define structure and explain with an example structures within structures. 7M

b) Write a program to illustrate the comparison of structure variables.

8M

8 a) Write a simple program to illustrate the method of sending an entire structure as a

parameter to a function.

7M

b) Write a program that prints the distinct words from given input and print frequency of

occurrence words in decreasing order.

8M

Unit – V

9 a) Explain the concept of defining file and opening a file, with an example. 7M

b) Write a program to read data from the key board, write it to file called INPUT, again

read the same data from the INPUT file, and display it on the screen.

8M

10 a) Write a program to illustrate error handling in file operation. 7M

b) Write a program to compare two files, printing the first line where they differ. 8M

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Hall Ticket No. : Question Paper Code :AEE11T01


(AUTONOMOUS)



BASIC ELECTRICAL ENGINEERING (Common to Electronics and Communication Engineering and Electrical and Electronics

Engineering)





Unit-1

1. a) State and explain Ohm’s law. Is this law applicable to only AC, only DC or both. 3M

b) Write a note on

i) Dependent and independent sources

ii) Practical voltage source

5M

c) Two resistors are connected in parallel across 100V supply mains takes 10A from the

line. The power dissipated in one resistor is 600W. What is the resistance of the other

resistor?

7M

2. a) State and Explain

i) Kirchoff’s current law

ii) Kirchoff’s voltage law

4M

b) The resistance of 2 wires is 16 Ω when connected in series and 3 Ω when connected

in parallel. Calculate the resistance of each wire.

5M

c) Determine the current in 12 Ω resistor shown in fig. 1 using source transformation

Figure 1

6M

Unit-II

3. a) Determine the mesh current I1 and I2 for the circuit shown I fig. 2

Figure 2

7M

240V

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b) Determine the equivalent resistance between the terminals A & B for the network

shown in fig. 3

Figure 3

8M

4. a) Using Nodal analysis find the current ix of the circuit shown in fig. 4

Figure 4

7M

b) Explain about super mesh and super node analysis with suitable example

8M

Unit-III

5. a) Prove that the average power consumed by an RL circuit is VIcosф 7M

b) In the circuit shown in fig. 5 the inductance of 0.1H having a Q of 5 in parallel with a

capacitor. Determine the value of capacitance and coil resistance at resonant

frequency of 500Hz

Figure 5

8M

6. a) Show that a pure inductor does not consumes any power 6M

b) Determine the value of the voltage source and power factor in the network given in

fig. 6 if it delivers a power of 100W to the circuit

Figure 6

9M

ix

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Unit-IV

7. a) Two identical coils of 1000 turns each X and Y lie in parallel planes such that 60% of the

flux produced by one coil links the other. A current of 5A in X produces in it a flux of

0.05 mwb. If the current in X changes from 6A to -6A in 10 ms, what is the emf induced

in coil Y. Determine Lx, Ly and M.

6M

b) State and explain Faraday’s laws of electromagnetic induction 4M

c) Derive an expression for coefficient of coupling of coupled circuit.

5M

8. a) Calculate the MMF required producing a flux of 5 x 10-4 wb in a mild steel ring having

mean circumference of 0.5m and uniform cross sectional area of 3cm2. If an air gap of

1mm in length is cut in the ring determine the flux produced. The MMF remains

constant

10M

b) Two coils having 30 and 600 turns respectively one wound side by side on a closed iron

circuit of area of cross section 100 cm2 and mean length 200 cm. Find the mutual

inductance between the coils if µr of iron is 2000.

5M

Unit-V

9. a) For the circuit shown in fig. 7 draw the graph, select a Tree and write the tie-set

schedule

Figure 7

7M

b) Find y parameters of the Network shown in fig. 8

Figure 8

8M

10. a) For the graph shown in fig. 9, select a tree write cut-set matrix

Figure 9

8M

7M

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b)

What is duality in electrical Network? Draw the dual of the Network shown in fig. 10

and write loop equations and nodal equations and also show that they are dual

Figure 10

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Hall Ticket No. : Question Paper Code :AHS11T01


(AUTONOMOUS)



TECHNICAL ENGLISH

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

Communication Engineering)





Unit – I

1 a) Raman was a brilliant student, a very original thinker and a hardworking, disciplined

person, but he deserves to be admired for far more than just these qualities. Comment

on this statement.

10M

b) Do as directed:

i) Give the antonym using a prefix : Comprehensible.

ii) Give the synonym for the word: Havoc.

iii) Correct the error: A red and white cow are grazing in the field.

iv) Use appropriate article: I need ___ ice-cube in my drink.

v) Use appropriate possessive adjective: He borrowed Rajus book.

5M

2 a) Service to humanity is service to God. Comment on this statement with reference to

Mother Teresa.

10M

b) Do as directed:

i) Give the meaning oF the phrase: Put off.

ii) Give the antonym for the word: Ethical.

iii) Correct the error: The Indian team has won the match yesterday.

iv) The _____ India movement was _____ successful. Choose the right words for the

blanks (Quiet / quit / qieut)

v) Construct a sentence with the phrase: Carry out.

5M

Unit – II

3 a) Assess Miss Krishna’s character as connoisseur 10M

b) Do as directed:

i) Write the antonym for the word: timely

ii) Write the synonym for the word: Abandon

iii) Identify the demonstrative: This room is quite small.

5M

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iv) Identify the quantifier: There are few students in the class.

v) Add an adjective: The train leaves at 10.00 am.

4 a) Pitroda argues, “It is not about software experts or internet access, but a whole way of

doing things” – substantiate the statement in regard to his contribution to Indian

telecom.

8M

b) Do as directed:

i) Write the synonym for the word: Display

ii) Write the antonym for the word: hard

iii) Write one word substitute: information of death given in newspapers with a brief

history.

iv) Frame a sentence using-hook and corner.

v) Choose the appropriate verb: he read / reads newspaper everyday.

7M

Unit – III

5 a) What was the secret promise the writer in the story made ‘Bubbling well Road’, to

himself before he left the village?

10M

b) Do as directed:

i) Add adverb to the sentence. He wrote the list.

ii) Choose the model verb from the sentence: Can your please close the door?

iii) Frame sentence using the idiom: Face the music

iv) Correct the error: you need to write legible.

5M

6 a) Give an account of Martin Luther king’s dream 10M

b) Do as directed:

i) Write antonym for the word: default.

ii) Write synonym for the word: momentous.

iii) Use this phrase verb in your sentence: look into.

iv) Write the word substitute: One who is present everywhere.

v) correct the sentence: Indian girls have long hairs.

5M

Unit – IV

7 a) You intend to open your bank account in Vijaya Bank. Write a letter to the Bank

Manager requesting him for the same.

8M

b) Assume you are the state foot ball team’s coach, write a memo to all the players

informing them of the venue and dates of a forthcoming training camp. Ask the players

to collect their gear and tickets from you and report to the team manager by the

afternoon of the day.

7M

8 a) You have completed your part of the project on which another person is also working

at different branch of the company. You want to inform him about what you have

done and find out how much they have still to do. Write e-mail to him about this.

7M

b) Apply for the post of a customer care executive in a company whose advertisement

you saw in today’s newspaper.

4M

Unit – V

9 You are secretary in your department. Write a report on the departmental activities done

by students and faculties to be submitted to the principal.

15M

10 Imagine that you are an officer in the Assam Forest Department. Write a report on the

extinction of one-horned Rhino in Assam, which needs to be given to the secretary of the

department.

15M

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Hall Ticket No. : Question Paper Code :AME11L02


(AUTONOMOUS)



ENGINEERING DRAWING (Common for Mechanical Engineering, Civil Engineering & Aeronautical Engineering)





Unit – I

1 a) Divide a line of 85mm into 9 equal parts using dividing line by any angle method. 5M

b) Construct a scale of 1:8 to show decimeter and centimeter and to read up to 1m. Show

a length of 7.6 dm on it.

10M

2 a) Construct a regular pentagon and regular hexagon having side 40mm. 5M

b) Draw the involute of an equilateral triangle of side 20mm.

10M

Unit – II

3 The top and front views of a line are inclined at 350 and 500 to the XY line respectively.

One end of the line is touching both HP and VP. The other end is 50mm above HP. Draw

the projections and determine its true length and true inclinations with HP and VP.

15M

4 A room is 5m x 4.5m x 3.5m high. Determine the distance between the top corner and

bottom corner diagonally opposite to it. Draw the projections of the line joining the two

corners and find the true length.

15M

Unit – III

5 A pentagonal plane lamina of edges 25 mm is resting on HP with one of its corners touching

it such that the plane surface makes an angle of 60º with HP. Two of the edges containing

the corner on which it rests make equal inclinations with HP. When the edge opposite to

this corner makes an angle of 45º with VP and nearer to the observer, draw the top and

front views of the lamina in this position.

15M

6 Draw the top, front and left views of a pentagonal prism of sides of base 25 mm and height

60 mm resting on an edge of base on HP such that the axis is inclined at 30º to HP and

parallel to VP.

15M

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Unit – IV

7 Draw the development of the lateral surface of the cut pentagonal pyramid shown in Fig.1.

Fig.1

15M

8 A triangular prism of base 30mm side and axis 50 mm long is lying on HP on one of its

rectangular faces with its axis inclined at 30 degrees to VP. It is cut by a section plane

parallel to HP and at a distance of 12mm above HP. Draw the front view and sectional top

view.

15M

Unit – V

9 Draw the development of the truncated portion of a square pyramid of 30 mm side of the

base and height 50 mm rests with its base on HP with one of the edges of the base parallel

to VP. The truncated surface is inclined at 45º to the axis and bisecting it.

15M

10 Draw the development of the truncated portion of a vertical cylinder of 80 mm diameter

and 100 mm high. The truncated surface is inclined at 45º to the axis and passes through

the top end of one of the extreme generators in the front view.

15M

24 | P a g e

Hall Ticket No. : Question Paper Code :AME11T01


(AUTONOMOUS)



ENGINEERING MECHANICS

(Common to Civil Engineering, Mechanical Engineering and Aeronautical Engineering)





UNIT-I

1. a) State and prove the principle of moments. 5M

b) Determine the x and y scalar components of each of the three forces shown in fig. 1.

For force 800N x=1m and y=4m from ‘O’.

Figure 1

5M

c) A force of F=60N acts along the line AB. Determine the equivalent force-couple system

at ‘C’ according to fig. 2

5M

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Figure 2

2. a) Explain the term ‘Force-couple system’ with neat sketches. 5M

b) Calculate the moment of 90N force about point 0 for the condition θ=150. Also

determine the value of θ shown in fig. 3 for which the moment about 0 is

i) Zero ii) Maximum

10M

Figure 3

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.4. 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.

Figure 4

15M

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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

UNIT-III

5. a) Determine the distance h from the base of a triangle b, of height h to the centroid of

its area.

8M

b) Determine the x and y co-ordinates of the centroid of the composite area shown fig. 5

Figure 5

7M

6. a) Differentiate between the terms centre of Gravity and Centroid 8M

b) Determine the x and y co-ordinates of the centroid of the composite area according to

fig. 6

7M

Figure 6

UNIT-IV

7. Find the moment of inertia about the centroidal axis XX and YY of the section shown in fig.7.

Figure 7

All dimensions are in mm

15M

8. Prove that the mass moment of inertia of a right circular cone of base radius ‘R’ and ‘h’

about YY axis is 3/10MR² where M is the mass of the cone.

15M

Y=1+(x3/6)

27 | P a g e

UNIT-V

9. a) Explain the application of the principle of virtual work on ladders. 5M

b) A simply supported beam AB of span 5m is located as shown fig. 8. Using the principle

of virtual work, fine the reactions at A and B.

Figure 8

10M

10. a) Explain the concept of Virtual Work. 5M

b) A weight of 1000N resting over a smooth surface inclined at 300 with the horizontal is

supported by an effort P, resting on a smooth surface inclined at 450 with the

horizontal as shown fig. 9, calculate the value of effort P, using the principle of virtual

work.

10M

Figure 9

four year b. tech i semester regular-supplementary examinations february -...

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