SRI SAI RAM INSTITUTE OF TECHNOLOGY€¦ · Draw a flowchart to find the maximum among the ......

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SRI SAI RAM INSTITUTE OF TECHNOLOGY Approved by AICTE, New Delhi & Affiliated to Anna University, Chennai. Sai Leo Nagar, West Tambaram, Chennai – 44. Tel: 044 – 22512333 / 22512111. (An ISO 9001:2008 Certified Institution) www.sairamit.edu.in B.E./ B. Tech. Degree Examination Subject : ENGINEERING CHEMISTRY-I Duration: 3 Hours PART A — (10 × 2 = 20 Marks) Answer all questions 1. Define glass tranisition temperature. 2. What is functionality and write its significance? 3. Define addition polymerization with an example. 4. State second law of thermodynamics. 5. Define stark Einstein law 6 .Define Beers Lamberts law 7. What is Alnico? Mention its composition and uses. 8. State condensed phase rule . 9.What is carbon nano tube? 10. How are nanoparticles prepared by precipitation technique. PART B — (5x16=80) 11.a (i) Write the difference between addition and condensation polymerisation. (8) (ii) Explain any two methods to prepare polymer. (8) Or b (i)Describe cationic and anionic mechanism (8) (ii) Explain the properties of polymers (8) 12.a (i) Explain clausius inequality with a proof. (8) (ii) Derive an expression for an entropy change in isothermal expansion of an ideal gas, reversible process and irreversible process (8) Or b. (i) Derive Maxwell thermodynamic relation. (8) (ii). Derive Gibbs Helmholtz equation.Discuss its application. (8) 13. a. (i) Explain jablonski diagram with a neat diagram . (8)

Transcript of SRI SAI RAM INSTITUTE OF TECHNOLOGY€¦ · Draw a flowchart to find the maximum among the ......

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SRI SAI RAM INSTITUTE OF TECHNOLOGY Approved by AICTE, New Delhi & Affiliated to Anna University, Chennai.

Sai Leo Nagar, West Tambaram, Chennai – 44. Tel: 044 – 22512333 / 22512111.

(An ISO 9001:2008 Certified Institution) www.sairamit.edu.in

B.E./ B. Tech. Degree Examination

Subject : ENGINEERING CHEMISTRY-I Duration: 3 Hours

PART A — (10 × 2 = 20 Marks)

Answer all questions

1. Define glass tranisition temperature.

2. What is functionality and write its significance?

3. Define addition polymerization with an example.

4. State second law of thermodynamics.

5. Define stark Einstein law

6 .Define Beers Lamberts law

7. What is Alnico? Mention its composition and uses.

8. State condensed phase rule .

9.What is carbon nano tube?

10. How are nanoparticles prepared by precipitation technique.

PART B — (5x16=80)

11.a (i) Write the difference between addition and condensation

polymerisation. (8)

(ii) Explain any two methods to prepare polymer. (8)

Or

b (i)Describe cationic and anionic mechanism (8)

(ii) Explain the properties of polymers (8)

12.a (i) Explain clausius inequality with a proof. (8)

(ii) Derive an expression for an entropy change in isothermal expansion of

an ideal gas, reversible process and irreversible process (8)

Or

b. (i) Derive Maxwell thermodynamic relation. (8)

(ii). Derive Gibbs Helmholtz equation.Discuss its application. (8)

13. a. (i) Explain jablonski diagram with a neat diagram . (8)

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(ii )Discuss the principle & block diagram of UV-Visible spectroscopy. (8)

Or

b. (i) Define Quantum yield and explain its determination. (8)

(ii) Explain the principle and instrumentation of IR spectroscopy. (8)

14. a. (i) Explain Pb-Ag system . (8)

(ii) Draw and explain the phase diagram of water system. (8)

Or

b. (i) Explain the heat treatment of steel. (8)

(ii) Give the composition properties and uses of brass and bronze. (8)

15. a. (i) Explain the applications of nanomaterials . (8)

(ii) Explain briefly the synthesis of carbon nanotubes. (8)

Or

b (i) Describe the properties of nanomaterials (8)

(ii) Give the difference between bulk, nanoparticle and molecule (8)

--------------- All The Best-----------------

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QUESTION BANK - GE 6151 – COMPUTER PROGRAMMING

UNIT I - INTRODUCTION

Generation and Classification of Computers- Basic Organization of a Computer –Number System – Binary – Decimal – Conversion – Problems. Need for logical analysis and thinking – Algorithm – Pseudo code – Flow Chart.

PART – A (2 MARKS)

1. What is Super Computer? Give an example

2. Differentiate between analog and digital computers.

3. State the characteristics of computers.

4. How will you classify computer systems?

5. What are the different components of a computer?

6. What are the advantages and disadvantages of using the first generation computers?

7. List some important hardware and software technologies of fifth generation computers.

8. Give the advantages and disadvantages of third generation computers.

9. Convert the binary number 100110 into its octal equivalent.

10. Determine the decimal equivalent of the hexadecimal number AC.C8.

11. Convert 0.4375 decimal to binary system.

12. Convert the binary number 11000110 into Hexadecimal number.

13. Differentiate between RAM and ROM.

14. Draw a flowchart to find the maximum among the three numbers.

15. Compare and contrast flowchart and algorithm.

16. What is meant by pseudo code?

17. What is an algorithm?

18. Write an algorithm to compute the factorial of a number.

19. Write the pseudo code to find the given year is a leap year or not.

20. Give the advantages and limitations of Pseudo code.

PART – B (16 MARKS)

1. (i) Describe the characteristics of the computer.

(ii) Explain briefly the developments in computer technology starting from a simple

calculating machine to the first computer.

2. Explain in detail the different generation of computers.

3. Describe the different classification of computers.

4. Explain in detail about the various components of a computer system with block

diagram. (or) Explain the organization of a computer.

5. Explain the various types of computer memory.

6. Convert the following:

(i) Convert (6245.14)8 to its decimal equivalent.

(ii) Convert(111001.101)2 to its decimal equivalent.

(iii) Convert the following numbers into their binary equivalent.

a. (59.6825)10 b. (EBC)16 c. (654)8

(iv) Convert the following numbers into their binary equivalent.

a. FAC16 b. 5618

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7. Explain the program development life cycle in detail.

8. Explain the need for an algorithm and highlight its advantages. Write an algorithm

to find the greatest among three numbers.

9. Mention the guidelines in detail while drawing a flowchart with examples and list

out the merits and demerits of flowcharting.

10. Explain pseudo code with an example and briefly discuss the different pseudo

code structures. Differentiate algorithm, flowchart and pseudo code.

UNIT II - C PROGRAMMING BASICS

Problem formulation – Problem Solving - Introduction to ‘ C’ programming –fundamentals structure of a ‘C’ program – compilation and linking processes – Constants, Variables – Data Types – Expressions using operators in ‘C’ – Managing Input and Output operations – Decision Making and Branching – Looping statements – solving simple scientific and statistical Problems

PART – A (2 MARKS)

1. Why header files are included in ‘C’ programming?

2. What is a global variable?

3. List the different data types available in ‘C’?

4. What are keywords?

5. What do you mean by variables in ‘C’?

6. What is ternary operator or conditional operator?

7. What is the difference between Logical AND and Bitwise AND?

8. What is the difference between ‘=’ and ‘==’ operator?

9. What is the use of sizeof( ) operator?

10. What are the escape sequences present in ‘C’

11. What is the output of the programs given below? State the reason.

main() main() { { float a; float a; int x=6, y=4; int x=6, y=4; a=x/y; a=(float) x/y; printf(“Value of a=%f”, a); printf(“Value of a=%f”,a); } }

12. What are the types of I/O statements available in ‘C’?

13. What is the significance of control string in Input / Output Statements?

14. Why we don’t use the ‘&’ symbol while reading a string through scanf() function?

15. What is the difference between ++a and a++?

16. Compare switch( ) and nested-if statement.

17. What are the various types of C operators?

18. Construct an infinite loop using while.

19. What is the difference between while(a) and while(!a)?

20. Differentiate break and continue statement.

PART – B (16 MARKS) 1. Explain in detail the structure of a C program with an example.

2. Explain in detail about the constants, expressions and statements in ‘C’.

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3. Discuss about the various data types in ‘C’.

4. Describe the various types of operators in ‘C’ language along with its priority.

5. Explain about the various decision making and branching statements.

6. Write short notes on the following:

a. ‘for’ loop

b. ‘while’ loop

c. ‘do…while’ loop

7. Explain briefly about the input and output functions in ‘C’.

8. (a) Describe in detail about type conversions in ‘C’ with example.

(b) Define delimiters. List them. Give an example program using various delimiters.

9. Explain the following:

i. Keywords ii. Identifiers iii. C character set iv. Constants and volatile variables.

10. Write a program for the following :

a. To check whether a given year is leap or not.

b. To find the roots of a quadratic equation.

c. To find the area and circumference of a circle with radius r.

d. To convert the temperature given in Fahrenheit to Celsius.

e. To calculate simple interest and the maturity amount.

f. To find area of a triangle whose sides are a, b and c.

g. To find the sum of first 100 integers.

h. To find the sum of all odd / even numbers between 1 and 100.

i. To check whether a number is prime or not.

j. To find the sum of digits of a number. (123 => 1+2+3=6)

k. To reverse the digits of a number. (123 => 321)

l. To check whether a given number is a palindrome or not. (232)

m. To check whether a given number is perfect. (6=>1+2+3, 28=>1+2+4+7+14)

n. To print the integers between 1 and n which are divisible by 7.

o. To generate the first n numbers in a Fibonacci series.

p. To find the factorial of a given number.

q. To generate Armstrong number between 100 and 999.

r. To find the average of n numbers.

s. To find the sum of series :

i. 1+(1+2)+(1+2+3)+(1+2+3+4)……n terms

ii. 12 +22+32+42+……..n terms

iii. 1+1/2+1/3+1/4+…..n terms

iv. Sin(x) = x - x3/3! + x5/5!- x7/7!+…..+ xn/n!

v. Cos(x) = 1 – x2/2! + x4/4!- x6/6!+…..+ xn/n!

t. To print the following :

i. Pyramid of digits 1

2 3 2 3 4 5 4 3

4 5 6 7 6 5 4 ………………….

ii. Floyd’s triangle 1 2 3 4 5 6 7 8 9 10

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UNIT III - ARRAYS AND STRINGS Arrays – Initialization – Declaration – One dimensional and Two dimensional arrays. String – String operations – String Arrays. Simple programs – sorting – searching – matrix operations.

PART – A (2 MARKS) 1. Define an Array. Give example. 2. List out the features of Arrays. 3. Is it possible to declare an array subscript with float data type? 4. What are the main elements of an array declaration? 5. What are the drawbacks of Initialization of arrays in C? 6. What will happen when you access the array more than its dimension? 7. What are the different ways of initializing array? 8. How to create a two dimensional array? 9. What is the use of ‘\0’ and ‘%s’? 10. What is a String? 11. What is the starting index of an array? 12. Is address operator used in scanf() statement to read an array? Why? 13. What is the role of strrev()? 14. Distinguish between one dimensional and two dimensional arrays. 15. How to initialize a string? Give an example. 16. Differentiate between Linear search and Binary search. 17. Write the output of the following Code:

main() { char x; x = ‘a’; printf(“%d \n”,x); }

18. Specify any two methods of sorting. 19. List out the operations that are performed on character strings. 20. Write the output of the following Code:

main() { static char name[]=”Kagz WrxAd”; int i=0; while(name[i]!=’\0’) {

printf(“%c”,name[i]); i++;

} } PART – B (16 MARKS)

1.(i) Explain the need for array variables. Describe the following with respect to arrays: Declaration of array and accessing an array element. (8)

(ii) Write a C program to re-order a one-dimensional array of numbers in descending order. (8)

2. Explain the following functions with examples. (4+4+4+4=16) (i) strlen() (ii) strcpy() (iii)strcat() (iv)strcmp()

3. Write aC program to find whether the given string is palindrome or not without using string functions. (16)

4. Write a C program to count the number of characters, spaces,vowels, constantsand others using string functions. (16)

5. Describe the following with suitable examples. (8+8=16) (i) Initializing a 2 Dimensional Array(ii) Memory Map of a Dimensional Array.

6. Explain about the String Arrays and its manipulation in detail (16) 7.(i). Write a C prg to find average marks obtained by a of 30 students in a test.(10)

(ii).Write short notes on Reading and Writing string. (6) 8. Write a C to merge two sorted array into a single sorted array (16) 9. Write a C program to search an element from the array. (16) 10. Write a C program to perform the following matrix operations: (16)

(i) addition (ii) subtraction (iii) multiplication (iv) transpose

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UNIT IV - FUNCTIONS AND POINTERS

Function – definition of function – Declaration of function – Pass by value – Pass by reference – Recursion – Pointers – Definition – Initialization – Pointers arithmetic – Pointers and arrays – Example Problems.

PART – A (2 MARKS)

1. What is pointer? How will you declare it?

2. What is a pointer to a pointer?

3. What are the operations that can be performed on pointers?

4. What is pointer arithmetic?

5. What is a void pointer and a null pointer?

6. What is an address operator and indirection operator?

7. Why is pointer arithmetic not applicable on void pointers?

8. What is the use of Pointer?

9. What is user-defined function?

10. What is meant by library function?

11. Write the syntax for function declaration

12. What are the two parts of function definition?

13. What is meant by pass by value and pass by reference?

14. What is a function call? Give an example of a function call

15. What is default arguments and command line arguments?

16. What is a recursive function?

17. What is the need for function?

18. Differentiate Tail and Non Tail recursion

19. What is linear recursion?

20. What is a function pointer?

PART – B (16 MARKS)

1. Discuss about pointers and their operations that can be performed on it

2. What is an array of pointers and what is pointer to an array? Explain in detail with example.

3. Write in detail about function declaration and function definition

4. Discuss about the classification of functions depending upon their inputs and output (parameters)

5. Explain in detail about Pass by Value and Pass by reference.

6. Discuss about passing arrays to function.

7. Explain in detail about recursive function with sample code.

8. Explain in detail about function pointers.

9. Write notes on fixed argument functions and variable argument functions.

10. What are the applications of recursive function? Explain about Tower’s of Hanoi Problem.

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UNIT V - STRUCTURES AND UNIONS

Introduction – need for structure data type – structure definition – Structure declaration – Structure within a structure - Union – Programs using structures and Unions – Storage classes, Pre-processor directives.

PART – A (2 MARKS)

1. What is structure? Write the syntax for structure.

2. Write the various operations on structure.

3. How the members of structure object is accessed?

4. Write the use of size operator on structure.

5. What is a nested structure?

6. How typedef is used in structure?

7. Define Union in C.

8. Write the operations on union object.

9. Write the storage classes in C.

10. What is C preprocessor?

11. What is Translator?

12. What is compiler?

13. What is trigraph replacement?

14. What is line splicing?

15. What is tokenization?

16. What is macro? What are predefined macros?

17. What is pre processor directive handling?

18. What is line and error directive?

19. Give the use of preprocessor.

20. Define conditional compilation directive.

PART – B (16 MARKS)

1. Explain about storage class specifiers.

2. Explain about C pre processor and phases of translation.

3. Explain about pre processor directive.

4. Explain about union and its practical applications.

5. What is enumeration explain with examples.

6. Explain functions and structures.

7. Explain about structures and its operations.

8. Explain about pointers to structures, array of structures and nested structures.

9. Write a C program using structures to prepare the students mark statement.

10. Write a C program using unions to prepare the employee pay roll of a company.

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SUBJECT: GE6152 ENGINEERING GRAPHICS

QUESTION BANK

UNIT 1

1. Construct a hyperbola when the distance between the focus and directrix is 45 mm and

eccentricity is 5/4. Also draw the tangent and normal to any point on the curve.

2. Construct an ellipse when the distance between the focus and directrix is 35 mm and

eccentricity is 3/4. Also draw the tangent and normal to any point on the curve.

3. Construct a parabola when the distance between the focus and directrix is 30mm. Also

draw the tangent and normal to any point on the curve.

4. Construct a cycloid given the radius of the generating circle is 30mm. also draw a tangent

and normal at any point on the cycloid.

5. Construct a cycloid for one and half revolutions when the radius of the generating circle

is 25mm.

6. Draw an epicycloid of a circle 50 mm diameter which rolls outside of another circle of

100 mm diameter for one revolution. Draw tangent and normal to any point on the curve.

7. Draw the hypocycloid of a circle of 50mm diameter which rolls inside another circle of

100 mm diameter for one revolution. Draw tangent and normal at any point on the curve.

8. A coir is unwound from a drum of 30 mm diameter. Draw the locus of the free end of the

coir for unwinding through an angle of 360°. Also draw normal and tangent at any point

on the curve.

9. Draw the Involute of a circle of radius 20mm. Also draw the tangent and normal at any

point on the curve

10. Draw the Involute of a square of side 25mm. Also draw the tangent and normal at any

point on the curve.

11. Draw the three orthogonal views for the following fig.

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12. Draw the three orthogonal views for the following fig.

13. Draw the three orthogonal views for the following fig.

14. Draw the three orthogonal views for the following fig.

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15. Draw the three orthogonal views for the following fig.

UNIT 2

1. One end P of a line PQ, 55mm long is 35mm in front of VP and 25mm above HP.

The line is inclined at 40º to HP and 30° to VP. Draw the projections.

2. A line AB 65mm long has its end A, 10mm above HP and 25mm in front of VP. It is

inclined at 65° to HP and 25° to VP. Draw its projections. Also mark the traces.

3. One end of a line AB is 5mm above HP and 15mm in front of VP. Its elevation and

plan measures 50mm and 65mm respectively. The elevation is inclined at 50º. Draw

the projections and find true length and true inclinations.

4. The plan of a line AB is 80mm long and makes 35º with XY. Its elevation makes 45º

with XY and the line intersects XY at A. Find its true length and inclinations to HP

and VP. Also mark the traces.

5. The top view of a line is 65mm long and inclined to XY at 30º. One end is 20mm

above HP and 10mm in front of VP. The other end is 60mm above HP and is in front

of VP. Find the true length of the line, its inclination with HP and VP. Also mark the

traces.

6. A point P is 45mm above HP and 25mm in front of VP. Another point Q is 25mm

above HP and 55mm in front of VP. The top view of the line PQ is inclined at 40º to

XY line. Draw the projections of the line. Find the true length and true inclinations of

the line with HP and VP.

7. A line AB 75mm long has its end A in both HP and VP. The line is inclined 45° to

HP and 30° to VP. Draw the projections.

8. A line measuring 75mm long has one of its ends 50mm in front of VP and 20mm

above HP. The other end is 15mm in front of VP and above HP. The top view of the

line measures 50mm. Draw the projections and find its true inclinations.

9. The mid point of a line AB is 35mm above HP and 45mm in front of VP. The top

view and front view of the line measures 80mm and 70mm respectively. The end A is

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10mm in front of VP and the end B is nearer to HP. Draw the projections and find its

true length and true inclinations.

10. The mid point of a straight line AB 90mm long is 60mm above HP and 50mm in

front of VP. It is inclined 45° to VP and 30° to HP. Draw the projections.

11. A regular hexagon of side 40mm is resting on one of its corners on HP and the

surface inclined 45º to HP. Draw the projections when the diagonal through the

corner resting on HP makes an angle of 60ºwith VP.

12. A pentagonal lamina of side 30mm rests on the ground with one of its sides inclined

at 30° to VP while the surface of the lamina is inclined at 45º to HP. Draw the

projections of the lamina.

13. A rectangular plate of size 60mm x 30mm has one of its shorter edges in VP and

inclined at 40º to HP. Draw its top view if its front view is a square of side 30mm.

14. Draw the projections of a square plane of side 35mm rests on the ground on one of its

corners with a diagonal containing that corner is inclined 40˚ to HP and 50˚ to VP.

15. A circular plate of negligible thickness and 50mm diameter is vertical and inclined at

45º to VP. Draw its projections when the centre of the circular lamina is 40mm above

HP and 60mm in front of VP.

UNIT 3

1. A pentagonal prism of base side 35mm, axis height 60mm is resting on HP on one of

its base edges with its axis inclined at 45˚ to HP and parallel to VP. Draw the

projections of the prism.

2. A hexagonal prism of base side 30mm, axis height 50mm is resting on HP on one of

its base corners with its base inclined at 35˚ to HP and parallel to VP. Draw the

projections of the prism.

3. A square pyramid of base side 30mm, axis height 60mm is resting on HP on one of its

base corners with its axis inclined at 50˚ to HP and parallel to VP. Draw its

projections when the base sides containing the resting corners are equally inclined to

HP.

4. A pentagonal pyramid of base side 30mm, axis height 60mm is resting on HP on one

of its base corners with its axis inclined at 50˚ to HP and parallel to VP. Draw the

projections of the pyramid.

5. A hexagonal pyramid of base side 30mm, axis height 60mm is resting on HP on one

of its base corners with its axis inclined at 40˚ to HP and parallel to VP. Draw its

projections when the base sides containing the resting corners are equally inclined to

HP.

6. A pentagonal pyramid of base side 30mm and axis height 55mm is resting on HP on

one of its base edges with the face containing the resting edge perpendicular to both

HP and VP. Draw its projections.

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7. A hexagonal pyramid of base side 30mm and axis height 50mm is resting on HP on

one of its base corners with its axis parallel to VP. Draw its projections when the slant

edge containing the resting corner is vertical.

8. A square pyramid of base side 40mm and axis height 50mm is resting on HP on one

of its base corners with its axis parallel to VP. Draw its projections when the slant

edge containing the resting corner is vertical.

9. A pentagonal prism of base 30mm and axis length 60mm is resting on HP on one of

its rectangular faces with its axis inclined 45˚ to VP. Draw its projections.

10. A hexagonal pyramid of base side 35mm and axis height 65mm is resting on HP on

one of its triangular faces with its axis parallel to VP. Draw its projections.

11. A cone of base diameter 50mm and axis height 65mm is resting on HP on one of its

generators with its axis parallel to VP. Draw its projections.

12. A cylinder of base diameter 50mm and axis height 65mm is resting on HP on one of

its generators with its axis inclined at 50º to VP. Draw its projections.

13. A cylinder of base diameter 50mm and axis height 65mm is resting on HP on a point

on the circumference of the base with its axis inclined at 50º to HP and parallel to VP.

Draw its projections.

14. A pentagonal pyramid of base side 30mm and axis length 60mm is suspended by

means of a string from one of its base corners with its axis parallel to VP. Draw its

projections.

15. A square pyramid of base side 30mm and axis length 60mm is suspended by means

of a string from one of its base corners with its axis parallel to VP. Draw its

projections.

UNIT 4

1. A hexagonal prism of base 30mm and axis 60mm rests on its base on HP with its axis

perpendicular to HP and one of the base edge parallel to VP. The solid is cut by a

plane which is perpendicular to VP, inclined at 40˚ to HP and bisecting the axis of the

prism. Draw the front view, sectional top view and true shape of the section.

2. A square pyramid has a base side of 40mm and altitude 80mm. It rests with its base

on HP such that one side of the base is inclined at 30° to VP. The pyramid is cut by a

plane which bisects the axis and is inclined at 45° to HP. Draw the front view,

sectional top view and true shape of the section.

3. A cylinder of base diameter 50mm and height 65mm rests on its base on HP. It is cut

by a plane perpendicular to VP and inclined at 30° to HP and meets the axis at a

distance 30mm from the base. Draw the front view, sectional top view and true shape

of the section.

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4. A cone of base diameter 40mm and altitude 50mm rests on its base on the HP. It is

cut by a plane inclined at 45° to HP and passes through a point on axis which is

20mm above HP. Draw the front view, sectional top view and true shape of the

section.

5. A hexagonal pyramid of base 35mm and axis 70mm is resting on HP on its base with

two sides of base perpendicular to VP. It is cut by a plane inclined at 45° to VP,

perpendicular to HP and 10mm away from the axis. Draw its top view, sectional front

view and true shape of the section.

6. A hexagonal prism, side of base 45mm and axis 75mm long, rests with its base on HP

such that one of its rectangular faces is parallel to VP. A sectional plane

perpendicular to HP and parallel to VP cuts the prism at a distance of 15mm from the

axis. Draw its top view and sectional front view.

7. A cone of base diameter 50mm and axis length 60mm is resting on HP on its base. It

is cut by a plane inclined at 40° to VP and perpendicular to HP that cuts the cone at a

distance of 10mm from the axis and in front of it. Draw its top view, sectional front

view and true shape of the section.

8. A hexagonal pyramid of base side 30mm and axis height 60mm is resting on HP on

its base with a base edge parallel to VP. It is cut by a plane perpendicular to VP,

inclined 70° to HP and passing through a point in its axis at a distance of 20mm from

the base. Draw the sectional top view and true shape of the section.

9. A hexagonal prism of base 35mm side and axis 65mm long is resting on its base on

HP with a base edge parallel to VP. It is cut by a plane perpendicular to HP, inclined

50° to VP and 15mm away from the axis of the prism. Draw the top view and

sectional front view of the prism. Also draw the true shape of the section.

10. A hexagonal pyramid of base side 30mm and axis height 60mm is resting on its base

on HP with two of the base edges parallel to VP. It is cut by a plane perpendicular to

VP, inclined 30° to HP and bisects the axis of the pyramid. Draw the development of

the lateral surfaces of the lower portion of the pyramid.

11. A cylinder of base diameter 40mm and height 65mm rests on its base on HP. It is cut

by a plane perpendicular to VP and inclined at 30° to HP and meets the axis at a

distance 30mm from the base. Draw the development of the lateral surface of the

cylinder.

12. A hexagonal prism of base side 30mm and axis 60mm is resting on HP on one of its

bases with two of the vertical faces perpendicular to VP. It is cut by a plane inclined

at 50° to HP and perpendicular to VP passing the axis at a distance of 35mm from the

top surface. Draw the development of the remaining portion of the prism.

13. A square pyramid has a base side of 40mm and altitude 80mm. It rests with its base

on HP such that one side of the base is inclined at 30° to VP. The pyramid is cut by a

plane which bisects the axis and is inclined at 45° to HP. Draw the development of

the remaining portion of the pyramid.

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14. A pentagonal pyramid has a base side of 30mm and axis height of 70mm. It rests with

its base on HP such that one of the base edges perpendicular to VP. The pyramid is

cut by a plane which bisects the axis and is inclined at 30° to HP. Draw the

development of the remaining portion of the pyramid.

15. A cone of base diameter 40mm and altitude 60mm rests on its base on the HP. It is

cut by a plane inclined at 40° to HP and passes through a point on axis which is

40mm above HP. Draw the development of the lateral surface of the lower portion of

the cone.

UNIT 5

1. A hexagonal pyramid of base side 30mm and height 60mm rests on its base on HP

with two of its base edges perpendicular to VP. It is cut by a plane perpendicular to

VP and inclined at 25° to HP, meeting the axis at a point 25mm above the base of the

pyramid. Draw the isometric projection of the truncated pyramid.

2. A cylinder of base diameter 40mm and height 60mm rests on its base on HP. It is cut

by a plane perpendicular to VP and inclined at 45° to HP. The cutting plane meets the

axis at a distance of 15mm from the top surface. Draw the isometric view of the

truncated cylinder.

3. A cylinder of base diameter 50mm and height 60mm rests on its base on HP. It is cut

by a plane perpendicular to VP and inclined at 50° to HP. The cutting plane meets the

axis at a distance of 15mm from the top surface. Draw the isometric projection of the

truncated cylinder.

4. A hexagonal prism of base side 30mm and axis 60mm is resting on HP on one of its

bases with two of the vertical faces perpendicular to VP. It is cut by a plane inclined

at 50° to HP and perpendicular to VP passing the axis at a distance of 12mm from the

top surface. Draw the isometric projection of the truncated prism.

5. A pentagonal pyramid of base 30mm and height 65mm stands with its base on HP.

An edge of the base is parallel to VP and nearer to it. A horizontal section plane cuts

the pyramid and passes through a point on the axis at a distance of 25mm from the

apex. Draw the isometric view of the frustum of the pyramid.

6. A cone of base diameter 50mm and height 70mm stands on HP with its base. It is cut

by a cutting plane perpendicular to VP and inclined at 30˚ to HP cutting the axis of

the cone at a height of 40mm from its base. Draw the isometric view of the remaining

part of the cone.

7. A pentagonal prism of base side 30mm, axis 60mm is resting on its base on HP with

one of its base edges perpendicular to VP. It is cut by a plane perpendicular to VP,

inclined 55º to HP and cut the axis at a distance of 35mm from the base. Draw the

isometric projection of the truncated prism.

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8. A sphere of radius 18mm is placed centrally over a hexagonal slab of side 24mm and

thickness 25mm. Draw the isometric view of the combined solid.

9. The frustum of a pentagonal pyramid with base side 30mm and top surface of 15mm

side has a height of 40mm. draw its isometric view.

10. A rectangular pyramid of sides 30mm x 20mm and height 35mm rests with its base

on ground such that one of the longer edges is parallel to picture plane and 30mm

behind it. The station point is 50mm in front of the picture plane, 30mm to the left of

the axis of the pyramid and 50mm above the ground. Draw the perspective view of

the pyramid.

11. A square pyramid of base side 50mm and height 75mm rests with its base on ground

such that the nearest edge of the base is parallel to picture plane and 30mm behind it.

The station point is 70mm in front of the picture plane, 60mm to the right of the axis

of the pyramid and 50mm above the ground. Draw the perspective view of the

pyramid.

12. A cube of 35mm edge lies with a face on the ground and an edge on the picture plane.

All the vertical faces are equally inclined to picture plane. The station point is 80mm

in front of the PP and 60mm above the ground. The edge of the cube in contact with

the picture plane is situated 10mm to the right of the station point. Draw the

perspective projection of the cube.

13. A cube of 30mm edge lies with a face on the ground and two vertical faces

perpendicular to picture plane. The front face of the cube is 10mm in front of picture

plane. The station point is 60mm in front of the PP and 60mm above the ground. The

nearest edge of the cube is 20mm to the right of the station point. Draw the

perspective projection of the cube.

14. A frustum of a square pyramid of base edge 30mm and top edge 20mm. The height of

the frustum is 35mm. It rests on its base on the ground with the base edges equally

inclined to picture plane. The axis of the frustum is 30mm to the right of the station

point. The station point is 55mm in front of PP and 50mm above GP. The nearest

base corner is 10mm behind picture plane. Draw the perspective projection of the

frustum.

15. A square pyramid of base 30mm, axis height 45mm rests with its base on GP. One of

the base edges is parallel to PP and 20mm behind it. The station point S is 60mm

above ground plane, 70mm in front of picture plane and lies in the central plane

which is 40mm to the right of the axis of the pyramid. Draw the perspective

projection of the square pyramid.

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SRI SAI RAM INSTITUTE OF TECHNOLOGY Approved by AICTE, New Delhi & Affiliated to Anna University, Chennai.

Sai Leo Nagar, West Tambaram, Chennai – 44. Tel: 044 – 22512333 / 22512111.

(An ISO 9001:2008 Certified Institution) www.sairamit.edu.in

B.E. / B. Tech. Degree Examination

Subject : Engineering Graphics Duration : 03.00 Hrs

1.a. Make free hand sketches of front, top and right side views of the 3D object shown below : (20 marks)

(or)

1.a.i. An inelastic string of 155 mm long has one stone end attached to the circumference of a circular disc of 40 mm diameter. Draw the curve traced out by the other end of the string, when it is completely wound around the disc keeping it always tight. (10 marks ) a.ii. Draw the path traced by a point P, when the distance between the focus and directrix is 35 mm and eccentricity is unity. (10 marks) 2.a i.. Draw the projections of the following points on a common reference line. ( 10 marks) (a) P, 35 mm behind VP and 20 mm below HP (b) Q, 40 mm infront of VP and 30 mm above HP (c) R, 50 mm behind VP and 15 mm above HP (d) S, 40 mm below HP and on VP (e) A, 30 mm infront of VP and 50 mm below HP (f) B, 25 mm behind VP and on HP a.ii. The end P of a line PQ is 30mm above HP and 35mm infront of VP. The line is inclined at 35 o to the HP. Its top view is 70mm long and inclined at 40 o to XY . Draw the projections of the straight line. Locate the traces. Find the true length and inclination of the line with the VP. ( 10 marks )

( or)

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SRI SAI RAM INSTITUTE OF TECHNOLOGY Approved by AICTE, New Delhi & Affiliated to Anna University, Chennai.

Sai Leo Nagar, West Tambaram, Chennai – 44. Tel: 044 – 22512333 / 22512111.

(An ISO 9001:2008 Certified Institution) www.sairamit.edu.in

2.b. A pentagonal lamina of 40 mm side is resting on one of the corners in VP. The edge opposite to that corner makes an angle of 30o to the HP. The surface of the pentagon is inclined at 45o to the VP. Draw its projections. ( 20 marks) 3.a. A hexagonal pyramid of side of base 30 mm and axis length 90 mm rests on one of its slant edge on the H.P. such that the plane containing that slant edge on which it rests on H.P. Draw the projection of the solid by change of position method. ( 20 marks)

(or)

3. b. Draw the projection of a pentagonal pyramid of base side 30mm and the altitude 60 mm when it rests on ground on one of its base edges with the axis inclined at 30 o to the ground and parallel to the VP . (use auxiliary Inclined plane projection method) ( 20 marks) 4.a. A pentagonal prism of base side 30mm and axis length 60mm is resting on HP on one of its rectangular faces with its axis perpendicular to VP. It is cut by a section plane inclined at 40° to VP and perpendicular to HP and passing through a point 25mm from the rear face of the prism. Draw its front view, sectional top view and true shape of the section. ( 20 marks)

(or)

4.b. A pentagonal pyramid of base side 30mm and axis length 60mm is resting on HP on its base with a side parallel to VP. It is cut by a plane inclined at 40° to HP and perpendicular to VP and passing through a point at a distance of 15mm from the base.. Draw the development of the lower portion of the solid. (20 marks) 5.a. A hexagonal prism of base side 25mm and axis height 50mm rests on HP on its base with a base edge parallel tom VP. It is cut by a plane inclined at 50° to HP and perpendicular to VP and is bisecting the axis. Draw the isometric view of truncated prism.

(or)

5. b. A rectangular pyramid of sides of base 45 mm and height 55 mm rests with its base on ground such that one of the longer base edges is parallel to the picture plane and 25 mm behind it. The station point is 50 mm infront of picture plane, 40 mm to the left of the axis of the pyramid and 70 mm above the ground. Draw the perspective view of the pyramid. ________________________________________________________________________________

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Model Question Paper

B. E. / B.Tech. Degree Examination, 2013

First Semester HS6151 – Technical English I

(Common to all branches) (Regulation 2013)

Time: Three hours Maximum: 100 marks

Answer ALL Questions

PART – ‘A’ (10 x 2 = 20)

1. In each of the following questions, out of the four alternatives, choose the one which can be substituted for the given expression: (4 x ½ = 2)

a) Life history of a person written by another A) bibliography B) autobiography C) memoir D) biography

b) A person who has no money to pay off his debt

A) debtor B) beggar C) pauper D) insolvent

c) A person who does not believe in religion A) pagan B) rationalist C) philatelistD) atheist

D) An extremely deep crack or opening in the ground

A) chasm B) aperture C) pit D) ditch

2. Fill in the blanks with the appropriate forms of the words given: (8 x ¼ = 2) Verb Noun Adjective Appreciation Different Manageable Apologise

3. Use the suitable compound noun from the list of wordsto complete the following

sentences: (4 x ½ = 2)

a) It is raining now. Don’t forget to take the --------------, when you want to go out. b) She roasted the ------------ after the plants were grown. c) I need a ------------ to travel to a foreign country, without which I can’t even board the

flight. d) --------------- is my favourite fruit, although my family members don’t like it.

sun port melon ball cloth rain wash coat

basket flower pass water

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4. Write a single sentence definition for any TWO of the following terms: (2 x 1 = 2)

a) database b) software c) fuse d) screwdriver

5. Give antonyms of the following words by adding suitable negative prefixes :( 4 x ½ = 2)

a) consistent b) nutrition c) legible d) appropriate

6. Fill in the blanks with suitable tense forms of the verbs given in brackets:(4 x ½ = 2)

Stephen Hawking is one of the most brilliant theoretical physicists. He ------- (be) also a popular writer. His first book, “A Brief History of Time” ------------- (publish) in 1988 and ------- (become) an international best seller. In it, he ------- (explain) about the birth and death of the universe to the lay person.

7. Choose the correct form of verb that agrees with the subject: (4 x ½ = 2) a) The Minister, together with his wife, -------- (greets, greet) the press cordially. b) The players, as well as the captain, --------- (want, wants) to win. c) Neither the teacher nor the students ---------- (seem, seems) to understand this

assignment. d) One of my teachers --------- (have, has) written a letter of recommendation for me.

8. Rewrite the following short conversation in the form of a reported speech: (4 x ½ = 2) Joseph :Good Morning sir. I need loan from your bank. Manager : May I know why you need loan? Joseph: I have a plan to open a medical shop in my hometown.Also,I am quite familiar

with this business. Manager: O.K. Take this form and apply for loan. You will get a reply after a week.

9. Edit the following passage by correcting the mistakes in spelling, grammar and punctuation: (8 x ¼ =2)

ants are social insekts and live in large, well-planned colonies. Some of these colonies contain thousands of ants there are generally three kinds of ants in an art colony – a queen, males and workers. The queen lay eggs all her adult life. The worker ants are the ones who does all the work, like keeping the nest clean, getting food and looking after the young ones. The larger ones defand the colony if there is any threat from outside

10.Change the statements to questions using the question word in parenthesis . (4 x ½ =2)

a) The children are very sincere and they do their homework at night. (when) b) I feel so tired since I have been waiting here for two hours. (how long) c) I didn’t inform her about his arrival because she kept her mobile phone in the

switch off mode. (why) d) My friend, Sam,is a rich man and he is a Software engineering in HCL. (what)

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PART – ‘B’ (5 x 16 = 80 marks)

11. i) Read the passage and answer the questions given below: Ethanol is a renewable, domestically produced transportation fuel. Whether used in low-level blends, such as E10 (10% ethanol, 90% gasoline), or in E85 (a gasoline-ethanol blend containing 51% to 83% ethanol, depending on geography and season), ethanol helps reduce imported oil and greenhouse gas emissions. Like any alternative fuel, there are some considerations to take into account when contemplating the use of ethanol. About two-thirds of U.S. petroleum demand is in the transportation sector. Approximately half of U.S. petroleum is imported. Depending heavily on foreign petroleum supplies puts the United States at risk for trade deficits, supply disruption, and price changes. The Renewable Fuels Association's 2012 Ethanol Industry Outlookcalculated that in 2011 the ethanol industry replaced the gasoline produced from more than 485 million barrels of imported oil. Ethanol represents 25% of domestically produced and refined motor fuel for gasoline engines. A gallon of ethanol contains less energy than a gallon of gasoline. The result is lower fuel economy than a gallon of gasoline. The amount of energy difference varies depending on the blend. For example, E85 has about 27% less energy per gallon than gasoline (mileage penalty lessens as ethanol content decreases). However, because ethanol is a high-octane fuel, it offers increased vehicle power and performance. Ethanol production creates jobs in rural areas where employment opportunities are needed. According to Renewable Fuels Association, ethanol production in 2011 supported more than 400,000 jobs across the country, $42.4 billion to the gross domestic product, and $29.9 billion in household income. The carbon dioxide released when ethanol is burned is balanced by the carbon dioxide captured when the crops are grown to make ethanol. This differs from petroleum, which is made from plants that grew millions of years ago. On a life cycle analysis basis, corn-based ethanol production and use reduces greenhouse gas emissions (GHGs) by up to 52% compared to gasoline production and use. Cellulosic ethanol use could reduce GHGs by as much as 86%. Low-level ethanol blends are already in more than 95% of the gasoline sold in the United States. Low-level blends require no special fueling equipment and can be used in any gasoline vehicle. E85 fueling equipment is only slightly different than petroleum fueling equipment, but the costs are higher. FFVs are available nationwide as standard equipment with no incremental costs, making them an affordable alternative fuel vehicle option. However, because most U.S. ethanol plants are concentrated in the Midwest, fueling stations offering E85 are predominately located in the Corn Belt states. More and more states are installing E85 every day. Find E85 fuelling stations in your area.

Select the correct response for the following questions based on the passage: (8 x 1 = 8) 1) Ethanol is environment friendly because its use

A) reduces greenhouse emissions. B) cleans the air. C)kills bacteria. D)activates the growth of the plants.

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2) The main idea of the passage is that A) ethanol production is not a complicated process. B) ethanol production is the only solution to the problems of the rural community. C) US shows little interest in the production of ethanol. D) ethanol is the viable solution to the growing needs of the transportation industry.

3) High-octane fuel means that A) it ensures high speed of the vehicle. B) it ensures higher performance of the engine. C) it protects the vehicles from accidents. D) it has no pollutants.

4) According to the passage, which of the following is true? A) E10 is the brand name of a car B) E10 is the low level ethanol blend C) E10 is not a transportation fuel D) E10 is available in almost all fueling stations in US

5) The word ‘contemplate’ in the first paragraph refers to A) formulating a policy for ethanol production B) designing a process for ethanol C) thinking deeply about the choice of ethanol D) worrying about the customers

6) Which one of the following does not need special fueling equipment in vehicles? A) E85 B) E10 C) E20 D) E25

7) What do you infer from the second paragraph of the passage? A) Ethanol production in US can reduce a considerable percentage of oil imports. B) The import of petroleum from other countries has no impact on US economy. C) US can achieve self-sufficiency in oil production. D) US has lost its prestige by importing petroleum for domestic use.

8) What is the attitude of the writer towards ethanol production? A) Ethanol production will solve the problems of the people in urban areas. B) It is a boon to the poverty stricken people. C) It is an expensive process. D) It is useful in view of the benefits like clean environment, employment opportunities, and better economic situation.

11. ii) Read the excerpts from an interview with the former President of India APJ Abdul Kalam

and answer the questions given below:

Today, greatness is largely measured by material wealth, and this in turn brings about discontent in society. Do you feel there is a need for us to shun materialism as your father and elders did? I studied till High School in British India. In 1947, we got freedom and I started living in India’s India. I have seen various transformations in society, be it the economy or the value system. While our economy is developing, we need citizens with ethics and a value system. For the last 10 years I’ve been promoting an idea called Evolution of Enlightened Citizens. It has three dimensions. One is education with value system. This comes from the family, or may be from a primary school teacher. After all, the evolution of enlightened

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citizens is essential for India and the world. Second, the dimension is economic prosperity. Third, religion should transform into a spiritual force. I advocate these three. I have given lectures in our Parliament, addressed the European parliament of 23 nations, a pan-African parliament of 53 nations, and the Korean parliament. I am not saying the Indian value system should be taken to other countries. They also have great leaders and traditions based on their value system. I believe that one’s value system, the joint family system, economic growth and different religions transforming into a spiritual force are vital. That’s why I have shared this at various interactive forums. Your work gives pre-eminence to inspiring and changing the thought pattern of the youth. However, as we see the country deluged with problems such as hunger, disease, deteriorating environment and unfit living conditions, how long will it take to see change, or is it already visible? Thought is the seed of action. Thought is as ancient as Socrates. Tiruvalluvar, 2,200 years ago, has also said that…That’s why I proposed in Parliament that we need India Vision 2020. That is, by 2020, India should become economically developed. Even now, it’s not too late. Parliament should consider how it can activate the vision for the nation, so prosperity can be aimed at. Our priority should be to use PURA – ‘providing urban amenities in rural areas’. Our farmers are producing 250 million tonnes of food. But we don’t do value addition, which means greater export potential. We are leading producers of fruits and vegetables but we don’t process these as juice or packaged food. And third, of course, small scale industries which are spread across the country. Are you in touch with the PURA projects, and are these showing results? I have seen in Madhya Pradesh, the Chitrakoot PURA founded by NanajiDeshmukh. He is a pioneer and they are doing very well, more than 500 villages are connected, and there is prosperity. Another one I saw in Maharashtra, Warana PURA. There is no poverty there, because the cooperative movement is doing very well. And the third I have seen in Tamil Nadu at Vallam, Thanjavur.I am in touch with these three, and visit them often. But apart from that, the Government of India has started a few PURAs with public-private participation. The number of PURAs is increasing. But it has to be fast. After all, there are 600,000 villages; we have to establish 7000 PURAs in 10-15 years’ time. We have less than 100. Your writing reflects great contentment, yet this never stops you from action. God helps only those who work hard. There is nothing like contentment. Success is not the ultimate aim. However, at no time should you allow your problems to overwhelm you. I can’t say that I am content, because I meet 80,000 to 100,000 youth a month. I know their dreams, their pain. A nation without a vision dies. Parliament has to give this vision. Write short answers for the following questions: (4 x 2 = 8) 1) Kalam says: ‘A nation without vision dies.’ Comment on this statement. 2) How do PURA projects make the country achieve economic prosperity? 3) India Vision 2020 is only a dream which cannot be achieved. Do you agree with this

view? Justify your view. 4) What will be the future of India after a period of ten years?

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12. a)Pic

mp

b)Th

so

13. a) ThThres

b) The bparagr

Cana20

ckpocketing money or o

ickpockets w

here are manolved. Write

he followinge two charts

spectively. W

D

bar chart givraph interpre

Jap40 

ada %

Others 10%

is a major nther valuab

while travell

ny social pre a set of eigh

g pie charts es show the to

Write a parag

Distribution

ven below seting the det

USA30%

an %

nuisance to bles from thing.

(Or) oblems suchht recommen

exhibit the dourist distrib

graph based o

n of Oversea

shows the saails found in

Sale o

  

the users ofhem. Write

h as povertyndations to s

distribution obution by coon the detail

as Tourist T

(Or) ale of celluln the chart:

of Cellular P

40‐49 yerars 30%

3yea

f public trana set of

y and hungesolve these p

of the overseountry and thls found in th

Traffic from

lar phones f

Phones

30‐39 ars 10%

Belowyears 1

nsport. The peight instru

r in India, wproblems.

eas tourist trhe age profilhe charts:

m India

from 1997 t

w 30 10%

pickpockets uctions to a

(16 marks

which need (16 marks

raffic from Iles of the tou

(16 marks

to 2002. Wr(16 marks

Above 50 yrears 50%

steal avoid s)

to be s)

India. urists s)

 

rite a s)

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14.a)Recall the memories of your first day at college and write a letter to your friend about this memorable day with a focus on inaugural function, classes,campus visit and so on.

(16 marks) (Or)

b) Imagine that your friend likes to spend the weekend by watching a film or reading a book. He needs your suggestions related to the choice of book or film. Write a letter to your friend about a book/film that you enjoyed much. In your letter, explain the reasons for your choice and discuss both the strengths and weaknesses of that book/film. (16 marks)

15. a) Internet is extensively used in various fields. But the recent cybercrimes make the people

rethink about the security measures. Write an essay not exceeding 300 words discussing the types of cybercrime and relevant security measures. (16 marks)

(Or) b) Electronic waste is a major problem in most of the countries since it has becomea major

cause for different diseases. Write an essay not exceeding 300 words on health effects of electronic wastes. (16 marks)

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UNIT V SEQUENCE AND SERIES

PART A

1. Give an example for conditionally convergent series

2. Test the convergence of sequence

3. Using integral test, determine the convergence of

4. State the Leibnitz’s rule

5. Define comparison test

6. Given an example for decreasing and increasing sequence.

7. Define oscillating sequence with example.

8. Define absolute and conditional convergent.

9. Define alternating series.

PART B

1. Test the convergence of the series

2. Examine the convergence and the divergence of the following series

3. Test the convergence of the series by D’Alembert’s ratio test.

4. Test the convergence of the series

5. Discuss the convergence and the divergence of the following

6. Test the convergence of the series by D’Alembert’s ratio test

7. Determine convergence of an alternating series and test for absolute and conditional

convergence.

UNIT IV DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES

PART A

1. If find .

2. If are functions of independent variables and find the value of .

3. Find the stationary points of the function .

4. If show that .

5. If and , find

6. Find the stationary points of .

7. Using Euler’s theorem, given is a homogeneous function of degree, prove that

PART – B

1. Expand as a Taylor series in powers of and upto third degree terms.

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2. Find the Jacobian of with respect to if , and

3. Test for an extreme of the function

4. Find the minimum value of subject to using Lagrange Multipler.

5. Using Lagrange’s multiplier method, determine the maximum capacity of a rectangular tank, open at the top,

if the surface area is 108 sq.m.

6. If and , , Find

7. If evaluate

UNIT III APPLICATIONS OF DIFFERENTIAL CALCULUS

PART B

1. If ρ is the radius of curvature of any point (x,y) on the curvexa

axy

+= . Show that

223/22

+

=

x

y

y

x

a

ρ.

2. Find the equation of circle of curvature of the rectangular hyperbola xy=12 at the point (3,4).

3. Find the evolute of the ellipse 12

2

2

2

=+b

y

a

x.

4. Find the envelope of 1=+b

y

a

xwhere a & b are connected by

n n na b c+ = ,

C, being Constant.

5. Find the Evolute of the parabola considering it as envelope of normals.

6. Find the envelope of the family where a and b are connected by the relation a + b =c

7. Find the radius of curvature at any point ‘t’ on the curve (cos sin ); (sin cos )x a t t t y a t t t= + = −

8. Find the Evolute of ellipse 2 2

2 21

x y

a b+ =

(8)

UNIT II MULTIPLE INTEGRALS

PART B

1.Evaluate by changing the order of integration

2 2

0

a ya

a y

y dxdy

∫ ∫

2. Find the area common to y2 = 4ax and x

2 = 4ay using double integral

3. Find the volume of the tetrahedron bounded by the planes 0, 0, 0 1x y z

x y z anda b c

= = = + + =

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4.Evaluate by changing into polar co-ordinates the integral 2

2 20

a a

y

xdxdy

x y+∫ ∫

5. Change the order of integration in ∫ ∫−1

0

2 y

y

dxdyxy and hence evaluate it.

6. Find using double integral, the area of the cardioids ( )θcos1+=ar .

7. Convert ∫ ∫−

+

a

a

ya

dxdyyx

x22

0

22

2

into polar co-ordinates and hence evaluate.

8. Show that the area between the parabolas axy 42 = and ayx 42 = is3

16 2a

.

UNIT I MATRICES

PART B

1. Write down the matrix of the Quadratic Form 2 2 24x 2y 3z 2xy 4zx+ − + +

2. Reduce the quadratic form 31

2

3

2

2

2

1 8262 xxxxx +++ to canonical form

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SRI SAI RAM INSTITUTE OF TECHNOLOGY Approved by AICTE, New Delhi & Affiliated to Anna University, Chennai.

Sai Leo Nagar, West Tambaram, Chennai – 44. Tel: 044 – 22512333 / 22512111.

(An ISO 9001:2008 Certified Institution) www.sairamit.edu.in

B.E. / B.Tech. Degree Examination

Subject : ENGINEERING PHYSICS -I Duration : 3 Hours

Branch : Common to All Max. Marks : 100

Answer ALL questions

PART – A (10x2=20 MARKS)

1. Draw the (100), (210) and (111) planes of simple cubic structure.

2. Mention the various methods of crystal growth.

3. Define: I- shaped girders

4. Define: Thermal conductivity (K) and mention its unit.

5. Define the term Magnification in microscope and mention the factors affecting magnification

of a microscope

6. What are matter waves and mention any four properties of matter waves.

7. State Coefficient of absorption of sound waves.

8. What is the optimum length to produce ultrasonic wave by a steel rod with natural frequency

50 kHz and Young’s modulus 115 Giga Pascal. (Density of steel = 7800 kg/m3)

9. Explain Metastable state in laser action and mention its significance.

10. What are the advantages of fiber optic communication?

PART – B (5x16=80 MARKS)

11. a (i) Derive an expression which relates d-spacing and lattice constant of a cubic crystal. (8)

(ii)Write an essay on any one of the melt growth technique. (8)

(OR)

b (i) With a neat diagram explain the co-ordination number and c/a ratio for HCP crystal

Structure. (12)

(ii) Write a short note on structure, properties and application of graphite. (4)

12. a (i) Derive an expression for Young’s modulus of a beam by uniform bending method. (12)

(ii) Explain : stress-strain diagram. (4)

(OR)

b(i) Derive an equation for the linear propagation of a heat through a infinitely long

straight conductor. (12)

(ii) A liquid initially at 70°C cools to 50

°C in 5 minutes and to 45

°C in 10 minutes, what is

the surrounding temperature? (4)

13. a (i) What is reverberation time and hence derive an equation to find reverberation time in a

hall? (16)

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(OR)

b (i) With a neat diagram explain the Magnetostriction oscillator method of producing

ultrasonic waves. (10)

(ii) Explain : Sonogram. (6)

14. a (i) Derive Schroedinger time independent wave equation and obtain the Eigen values and

Eigen vectors for a particle in one dimensional box. (16)

(OR)

b (i) Explain the principle, construction and working of SEM. (8)

(ii) Derive the Planck’s quantum theory of black body radiation. (8)

15. a (i) Explain the principle, construction and working of CO2 laser.(12)

(ii) Write a note on Medical applications of laser. (4)

(OR)

b (i) Explain the propagation of light through optical fiber and hence derive an equation for

acceptance angle. (10)

(ii) Define the term sensor and explain the fiber optic Displacement Sensor with neat

diagram. (6)

All the Best