· 2019-05-07 · (i) Refractoriness under load (ii) Refractoriness [9+6] 6.(a) Explain moving bed catalytic cracking method with a neat labeled diagram. (b) Explain the terms octane

$Page 1: · 2019-05-07 · (i) Refractoriness under load (ii) Refractoriness [9+6] 6.(a) Explain moving bed catalytic cracking method with a neat labeled diagram. (b) Explain the terms octane$
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Subject Code: R10204/R10

I B.Tech II Semester Regular Examinations Oct./Nov. - 2013

ENGINEERING CHEMISTRY - II (Common to All Branches)

Time: 3 hours Max. Marks: 75

Answer any FIVE Questions

All Questions carry equal marks * * * * *

1.(a) Explain free radical mechanism with example.

(b) Write about the preparation and properties of bakelite.

(c) Write notes on biodegradable polymers.

[5+6+4]

2.(a) Write notes on (i) Bullet proof plastics. (ii) Glass Fiber reinforced plastics.

(b) With a neat sketch explain extrusion moulding

[10+5]

3.(a) Write in detail about compounding of rubber.

(b) Give any five engineering applications of elastomers.

[9+6]

4.(a) Discuss any two methods for the synthesis of carbon nanotubes.

(b) What are fullerenes? Give any four engineering applications of fullerenes.

[8+7]

5.(a) Describe the manufacture of Portland cement by rotary kiln method.

(b) Discuss the following properties of refractories

(i) Refractoriness under load (ii) Refractoriness

[9+6]

6.(a) Explain moving bed catalytic cracking method with a neat labeled diagram.

(b) Explain the terms octane number and cetane number.

(c) Write any four applications of lubricants.

[7+4+4]

7.(a) Explain differential aeration corrosion, & galvanic corrosion.

(b) Explain the constituents of paints.

(c) Differentiate between galvanizing and tinning.

[6+5+4]

8.(a) Discuss the principles of green chemistry.

(b) Explain in detail any two methods of green synthesis.

[5+10]

Page 1 of 1

Set No - 1

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Subject Code: R10204/R10 I B.Tech II Semester Regular Examinations Oct./Nov. - 2013





1.(a) Explain the significance of Zeigler-Natta Catalyst.

(b) Explain addition and condensation polymerization with example.

(c) Write about the preparation and properties of polyvinyl chloride.

[5+5+5]

2.(a) Write notes of fiber reinforced plastics.

(b) With a neat sketch explain extrusion moulding.

(c) Give any four properties of plastics.

[5+5+5]

3.(a) Explain how Buna-N rubber is prepared? What are its important applications?

(b) What are the limitations of natural rubber? How does vulcanization improve the properties

of rubber?

(c) Give any five engineering applications of elastomers.

[4+7+4]

4.(a) Describe the production of carbon nanotubes by laser ablation method with a neat sketch.

(b) Write the engineering applications of carbon nanotubes.

(c) Discuss the properties of fullerenes.

[5+5+5]

5.(a) Explain setting and hardening of cement with suitable chemical equations.

(b) Write notes on glazed and unglazed clays.

(c) Explain the classification of refractories based on chemical composition with examples.

[7+4+4]

6.(a) Write short notes on fractional distillation of petroleum with a neat sketch diagram.

(b) Write notes on antiknocking agents

(c) Describe the mechanism of thick film and thin film lubrication.

[5+3+7]

7.(a) Explain the mechanism of pitting and galvanic corrosion.

(b) Discuss on the metallic coatings (i) Electroplating (ii) Electroless plating.

(c) Explain how corrosion can be controlled by proper selection and designing.

[5+6+4]

8.(a) Explain aqueous phase method and supercritical fluid extraction method of green synthesis.

(b) Discuss any five applications of green chemistry.

[10+5]

Page 1 of 1

Set No - 2

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1.(a) Write about the preparation and properties of polycarbonates

(b) Explain the physical and mechanical properties of polymers

(c) What is glass transition temperature?

[4+8+3]

2.(a) Write notes on

(i) Fiber reinforced plastics (ii) Bullet proof plastics

(b) With a neat sketch explain extrusion and compression moulding.

[8+7]

3.(a) Write in detail about compounding of rubber.

(b) Explain how polyurethane rubber is prepared? What are its important applications?

(c) Write the structure of natural rubber and Gutta Percha.

[8+4+3]

4.(a) Describe the production of carbon nanotubes by arc discharge method with a neat sketch.

(b) Explain the properties of carbon nanotubes.

(c) Discuss on the applications of fullerenes.

[5+5+5]

5.(a) Write notes on glazed & unglazed ceramics. Give any four engineering applications of

ceramics.

(b) Classify types of refractories based on chemical composition with examples.

(c) Discuss the effect of CO2 on cement concrete.

[8+4+3]

6.(a) What is meant by cracking of oil? Explain fluid bed catalytic cracking method with a

labeled diagram.

(b) Explain the terms octane number and cetane number.

(c) Discuss on (i) Cloud and Pour Point (ii) Aniline Point

[6+4+5]

7.(a) Explain the factors affecting corrosion.

(b) What is the role of sacrificial anode in corrosion control?

(c) State and explain Pilling Bedworth rule.

[8+4+3]

8.(a) Describe the phase transfer catalyst for green synthesis.

(b) Discuss the principles of green chemistry.

(c) Discuss on the (five) applications of green chemistry.

[4+6+5]

Page 1 of 1

Set No - 3

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1.(a) Write notes on stereospecific polymers.

(b) Write about the preparation and properties of Teflon.

(c) Explain the physical and mechanical properties of polymers.

[4+4+7]

2.(a) With a neat sketch explain extrusion moulding and injection moulding.

(b) Write notes of fiber reinforced plastics.

[10+5]

3.(a) What are the drawbacks of natural rubber? How does vulcanization improve the properties

of rubber?

(b) Write about the preparation and properties of polyurethanes.

(c) Give any five engineering applications of elastomers.

[7+4+4]

4.(a) Describe the production of carbon nanotubes by arc discharge and chemical vapour

deposition method.

(b) Write the (atleast three each) engineering applications of carbon nanotubes and fullerenes.

[9+6]

5.(a) Explain setting and hardening of cement with suitable chemical reactions.

(b) Write notes on (i) Thermal spalling (ii) Refractoriness

(c) Define glazed and unglazed ceramics.

[7+4+4]

6.(a) Write short notes on refining and reforming of gasoline.

(b) Describe Fischer Tropsh method with a neat labeled diagram.

(c) Describe the mechanism of extreme pressure lubrication.

[8+4+3]

7.(a) Discuss how corrosion can be minimized using the cathodic protection method.

(b) Explain differential aeration corrosion and pitting corrosion.

(c) Discuss the differences between tinning and galvanizing

[6+6+3]

8.(a) Explain in detail any three methods of green synthesis

(b) Discuss on the applications of green chemistry.

[12+3]

Page 1 of 1

Set No - 4

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ENGINEERING DRAWING (Common to BME, CE, ME, CHEM, AE, AME, PT branches)




1. (a) Construct a regular heptagon of 30 mm side and inscribe a circle in it.

(b) Construct a diagonal scale of representative fraction equal to 1/4000 to show meters and

long enough to measure up to 400 meters. Also show a distance of 256 meters on the Scale.

[8+7]

2. (a) A 80 mm line is parallel to and 30 mm in front of the vertical plane. Its two ends are 20 mm

and 50 mm above the horizontal plane. Draw its projections and find its inclination with the

horizontal plane.

(b) The front view of a line, which is inclined at 30o to the vertical plane, is 70 mm long. Draw

the projections of the line, when it is parallel to and 50 mm below the horizontal plane, its

one end being 20 mm in front of the vertical plane.

[8+7]

3. A line AB of length 70 mm is inclined at 300 to the horizontal plane. Its end A is 16 mm above

the horizontal plane and 24 mm in front of the vertical plane. Its front view measures 55 mm.

Draw the top view of AB and determine its inclination with the vertical plane.

[15]

4. A rectangular plate of 70 mm and 50mm long sides has a semi-circle on its longer side. Draw

its projections when the longer side is parallel to the horizontal plane and inclined at 450 to the

vertical plane, the surface of the plate making 600 with the horizontal plane.

[15]

5. A rectangular block of 60 mm x 40 mm x 20 mm thick has a 25 mm hole drilled centrally

through its largest faces. Draw the projections when the block has its 40 mm long edge

parallel to the horizontal plane and perpendicular to the vertical plane and has the axis of the

hole inclined at 300 to the horizontal plane.

[15]

6. A pentagonal pyramid, of base 25 mm side and axis 60 mm long, has an edge of its base on the

ground. Its axis is inclined at 450 to the ground and parallel to the vertical plane. Draw its

projections.

[15]

Page 1 of 2

Set No - 1

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7. Projections of a casting are given in Fig. 1. Draw the isometric view of the casting. All

dimensions are in mm.

[15]

8. Pictorial view of an object is shown in Fig. 2. Draw, to the scale of full size, the following

views. All dimensions are in mm.

(i) Front view

(ii) Top view

[15]

Page 2 of 2

Set No - 1

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1. (a) Describe a regular pentagon about a circle of 80 mm diameter.

(b) Draw a vernier scale of representative fraction equal to 1/20 to read centimeters up to 5

meters and show a length representing 3.18 meters on it.

[8+7]

2. (a) A 90 mm long line is parallel to and 20 mm below the horizontal plane. Its two ends are

30 mm and 60 mm behind the vertical plane respectively. Draw its projections and find

its inclination with the vertical plane.

(b) A vertical line PQ, 90 mm long, has its end P in the horizontal plane and 20 mm in front

of the vertical plane. A line PR, 120 mm long, is in the horizontal plane and parallel to

the vertical plane. Draw the projections of the line joining Q and R, and determine its

inclination with the horizontal plane.

[8+7]

3. A line AB of 100 mm long is inclined at 450 to the horizontal plane and its top view makes

an angle of 600 with the vertical plane. The end A is in the horizontal plane and 15 mm in

front of the vertical plane. Draw its front view and find its true inclination with the vertical

plane.

[15]

4. Draw the projections of a rhombus having diagonals of 100 mm and 40 mm long if its

smaller diagonal is parallel to both the principal planes and the longer one is inclined at 600

to the horizontal plane.

[15]

5. A hexagonal prism of base 30 mm side and axis 65 mm long rests on one of its rectangular

faces on the ground. Its axis is inclined at 300 to the vertical plane. Draw its projections.

[15]

6. A square pyramid, base 30 mm side and axis 70 mm long, has a triangular face on the

ground and the vertical plane containing the axis makes an angle of 300 with the V.P. Draw

its projections.

[15]

Page 1 of 2

Set No - 2

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[15]



(i) Front view

(ii) Top view

[15]

Page 2 of 2

Set No - 2

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1. The major axis of an ellipse is 120 mm long and the minor axis is 80 mm long. Find the

foci and draw the ellipse by arcs of circles method. Draw a tangent to the ellipse at a point

on it 20 mm above the major axis.

[15]

2. (a) A 70 mm long line is parallel to and 30 mm behind the vertical plane. Its two

ends are 10 mm and 40 mm below the horizontal plane respectively. Draw its

projections and find its inclination with the horizontal plane.

(b) The top view of 80 mm long line is 65 mm. The line is parallel to and 20 mm

behind the vertical plane. Its lower end is 20 mm above the horizontal plane. Draw its

projections.

[8+7]

3. A line AB, inclined at 500 to the vertical plane, has its ends 60 mm and 20 mm above the

horizontal plane. The length of the front view is 70 mm and its vertical trace is 12 mm

above the horizontal plane. Determine the true length of AB, its inclination with the

horizontal plane.

[15]

4. A regular hexagonal plate of 50 mm side has a central hole of 50 mm diameter. The plane

stands vertical on the horizontal plane on one of its corners with its two sides vertical.

Draw its projections when the plane surface is vertical and inclined at 300 to the vertical

plane.

[15]

5. A cylindrical block of 80 mm diameter and 30 mm thick has a hexagonal hole of 25 mm

side cut centrally through its flat faces. Draw its projections when it has its flat faces

vertical and inclined at 300 to the vertical plane and two faces of the hole perpendicular to

the horizontal plane.

[15]

6. A hexagonal pyramid, base 30 mm side and axis 60 mm long, has an edge of its base on the

ground. Its axis is inclined at 300 to the ground and parallel to the vertical plane. Draw its

projections.

[15]

Page 1 of 2

Set No - 3

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[15]



(i) Front view

(ii) Top view

[15]

Page 2 of 2

Set No - 3

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1. Inscribe an ellipse in a parallelogram having sides 150 mm and 100 mm long and an

included angle of 120o.

[15]

2. (a) A 100 mm long line is parallel to and 40 mm in front of the vertical plane. Its

two ends are 20 mm and 60 mm above the horizontal plane respectively. Draw its

projections and find its inclination with the horizontal plane.

(b) The front view of line, inclined at 300 to the vertical plane, is 60 mm

long. The line is parallel to and 30 mm below the horizontal plane. Its nearer end is 40

mm in front of the vertical plane. Draw the projections of the line.

[8+7]

3. A line AB, 80 mm long is in the second quadrant with the end A in the horizontal

plane and the end B in the vertical plane. The line is inclined at 300 to the

horizontal plane and at 450 to the vertical plane. Draw the projections of AB.

[15]

4. Draw the projections of a circle of 90 mm diameter having the end A of the diameter AB

in the horizontal plane, the end B in the vertical plane and the surface inclined at 300 to the

horizontal plane and 600 to the vertical plane.

[15]

5. Draw the projections of a pentagonal prism, base 25 mm side and axis 70 mm long, resting

on an edge of its base on the ground with rectangular face containing the edge being

perpendicular to the vertical plane. Its axis is inclined at 300 to the ground and parallel to

the vertical plane.

[15]

6. Draw the three views of a cone, base 40 mm diameter and axis 70 mm long, having one of

its generators in the vertical plane and inclined at 300 to the horizontal plane, the apex

being in the horizontal plane.

[15]

Page 1 of 2

Set No - 4

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[15]



(i) Front view

(ii) Top view

[15]

Page 2 of 2

Set No - 4

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ENGINEERING DRAWING (Common to CSE, EIE, E.Com.E branches)




1. An area of 400 sq.cm on a drawing of a map represents 100 sq.km of actual area. Draw a

scale to measure the distance of up to one decameter. Mark the distances 4.65km and

3.33km on it.

[15]

2.(a) Draw the orthographic projections of the following points:

(i) Point P is 20 mm above HP and on VP

(ii) Point Q is in VP and 40 mm below HP

(iii) Point R is 20 mm behind VP and 30 mm above HP

(iv) Point S is 25 mm below HP and 30 mm behind VP

(b) Draw the projections of a line 60 mm long when it is perpendicular to VP and in HP. The

end nearer to VP is 15 mm in front of it.

[8+7]

3. The projections of the ends of a line EF are on the same projector. The end E is 10 mm

above HP and 15 mm in front of VP. The end F is 35 mm above HP and 45 mm in front

of VP. Draw the projections and find the true length, true inclinations and traces.

[15]

4. A square lamina ABCD of 30 mm side rests on the corner C such that the diagonal AC

appears as 300 to the VP in the top view. The two sides BC and CD containing the corner

C make equal inclinations with the HP. The surface of the lamina makes 450 with HP.

Draw its top and front views.

[15]

5. A pentagonal prism with side of base 25 mm and axis 55 mm long is resting on one of the

rectangular faces on HP. Draw the projections of the prism when its axis is inclined at 400

to VP.

[15]

6. A square pyramid, base 25 mm side and axis 50 mm long has one of its triangular faces

on HP and the axis of the solid is makes an angle of 300 with VP. Draw the projections.

[15]

7. A hemisphere of diameter 40 mm with its flat circular face at the top is resting centrally

on the top of a hexagonal prism of edge of base 30 mm and height 35 mm. Draw the

combined solid in isometric projection.

[15]

Page 1 of 2

Set No - 1

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8. Draw front view, top view and a side view for the solid whose isometric is given below.

All dimensions are in mm.

[15]

Page 2 of 2

Set No - 1

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1. A wet land of 36 sq.km in area is represented by an area of 144 sq. cm on a map. Find the

R.F of the scale. Construct a vernier scale to show a distance of 9.65km.

[15]

2.(a) Draw the projections of the following points on the same ground line, keeping the

distance between projectors equal to 20 mm

(i) Point P, 20 mm below the HP, 25 mm in front of VP

(ii) Point Q, touches both VP and HP

(iii) Point R, 20 mm below the HP, 20 mm behind the VP

(iv) Point S, in the HP, 25 mm in front of VP

(b) A line AB 50 mm long is in HP and parallel to the profile plane. The end A is 15 mm in

front of VP. Draw all the three principal views.

[8+7]

3. A line AB measuring 120 mm long has its VT 80 mm above xy line and the HT 100 mm

in front of xy line. The projections of the HT and VT on the xy line are 110 mm apart. If

the end A is 10 mm above HP, draw the projections of AB and find its true inclinations.

[15]

4. The front view of a rectangular lamina of sides 60 mm x 40 mm is a square of 40 mm

side. Draw the top and front views. Determine the inclination of the lamina with the HP

and VP.

[15]

5. A pentagonal prism, base edge 20 mm and height 50 mm, is resting on one of its lateral

edges on HP in such way that the rectangular faces containing that edge makes equal

inclinations with HP and the axis of the prism is 45 degrees with the VP. Draw

projections of the prism.

[15]

6. A right circular cone, 40 mm base diameter and 60 mm long axis is resting on VP on one

of its end generators such that it’s axis makes 300 inclination with HP. Draw it’s

projections.

[15]

7. Draw the isometric projection of a sphere of 25 mm resting centrally on the top face of a

cylinder of diameter 60 mm and height 50mm.

[15]

Page 1 of 2

Set No - 2

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[15]

Page 2 of 2

Set No - 2

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1. Draw an ellipse when the distance between the focus and directrix is equal to 40 mm and

the eccentricity is 0.75. Also draw a tangent and normal to the ellipse at a point 35 mm

from the focus.

[15]

2.(a) A straight line AB, 60mm long makes an angle 400 to VP and parallel to profile plane.

The end A touches both the planes. Draw the projections of the line.

(b) The top view of a line AB is 40 mm and parallel to xy line. The line is inclined at 400 to

HP. Draw the projections and find the true length.

[8+7]

3. The top view of a line is 75 mm long and inclined to xy at 450. One end is 20 mm above

HP and 10 mm in front of VP. The other end is 65 mm above HP and is in front of VP.

What is the true length of the line and its inclinations with HP and VP? Also show its

traces.

[15]

4. A circular lamina of 60 mm diameter has a square hole of 25 mm side centrally punched.

Draw the projections of the lamina when the lamina is resting on the HP with its surface

inclined at 300 to HP and an edge of the square hole perpendicular to VP.

[15]

5. A hexagonal prism, base edge 20 mm and height 60 mm, is resting on one of its lateral

edges on HP in such way that the rectangular faces containing that edge makes equal

inclinations with HP and the axis of the prism is 450 with the VP. Draw projections of the

prism.

[15]

6. A Pentagonal pyramid, base 25 mm side and axis 50 mm long has one of its triangular

faces in VP and the edge of the base contained by that face on HP. Draw its projection.

[15]

7. A right regular hexagonal prism, side of base 25mm and 70 mm long lies on its

rectangular face on ground plane. A right circular cylinder of 40 mm diameter and 50 mm

high rests centrally on the top rectangular surface of the prism. Draw the isometric

projection of the combination of solids.

[15]

Page 1 of 2

Set No - 3

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[15]

Page 2 of 2

Set No - 3

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1. Construct a diagonal scale to measure 1/25th

and 1/5th

of centimeter. The length of the

scale is to be 15 cm. Show the lengths of 4.24 cm and 7.92 cm on it.

[15]

2. Draw the projections of the lines in the following positions, assuming the length of the

line in each case is 50 mm:

(i) the line AB is perpendicular to the VP, with the farthest end B from the VP at 65 mm

in front of the VP and 20 mm above HP

(ii)the line PQ is parallel to the HP and inclined at 300 to the VP. Its end P, which

is nearer to the VP, is 10 mm from the VP and 25 mm from the HP.

(iii) the line CD is parallel to and 15 mm in front of VP. Its ends C and D are 20 mm and

70 mm above HP respectively. Find its inclination with HP.

[5+5+5]

3. The mid-point of a line AB is 60 mm above HP and 50 mm in front of VP. The line

measures 80 mm and is inclined at 300 to HP and 45

0 to VP. Draw its projections.

[15]

4. A 300 -60

0 set square of 125 mm longest side is so kept that the longest side is in HP

making an angle of 300 with the VP. The set-square itself is inclined at 45

0 to HP. Draw

the projections of the set-square.

[15]

5. A pentagonal prism with side of base 25 mm and axis 55 mm long is resting on one of the

rectangular faces on VP. Draw the projections of the prism when its axis is inclined at 400

to VP.

[15]

6. A right circular cone, 40 mm base diameter and 60 mm long axis is resting on HP on one

point of base circle such that it’s axis makes 450 inclination with HP. Draw it’s

projections.

[15]

7. A right regular pentagonal pyramid, is placed centrally on the top face of a right circular

disc of 80 mm diameter and 35 mm height. The axis of both the solids is vertical and

coaxial. Draw the isometric projection of combination of solids.

[15]

Page 1 of 2

Set No - 4

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[15]

Page 2 of 2

Set No - 4

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ENGINEERING DRAWING (Common to EEE, MM, IT branches)




1. Inscribe a regular heptagon inside the given circle of 68 mm diameter.

[15]

2. Two points A and B are in the H.P. The point A is 30 mm in front of the V.P., while B

is behind the V.P. The distance between their projectors is 75 mm and the line joining

their top views makes an angle of 45⁰ with xy. Find the distance of the point B from the

V.P.

[15]

3. The top view of a 75 mm long line AB measures 65 mm, while the length of its front

view is 50 mm. Its one end A is in the H.P. and 12 mm in front of the V.P. Draw the

projections of AB and determine its inclinations with the H.P. and the V.P.

[15]

4. Draw a regular hexagon of 40 mm side, with its two sides vertical. Draw a circle of 40

mm diameter in its centre. The figure represents a hexagonal plate with a hole in it and

having its surface parallel to the V.P. Draw its projections when the surface is vertical

and inclined at 30⁰ to the V.P. Assume the thickness of the plate to be equal to that of a

line.

[15]

5. A hexagonal pyramid, base 25 mm side and axis 50 mm long, has an edge of its base on

the ground. Its axis is inclined at 30⁰ to the ground and parallel to the V.P. Draw its

projections.

[15]

6. A cylinder of base diameter 40 mm and axis 55 mm long rests on H.P. on a point on the

circumference of the base with its axis inclined at 45⁰ to H.P. and parallel to V.P. Draw

its projections.

[15]

Page 1 of 2

Set No - 1

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7. Draw the front, top and side views for the following figure. All dimensions are in mm.

[15]

8. Draw the isometric projection of a hollow rectangular prism of base 50 X 40 mm

(outside), height 75 mm and thickness 8 mm when its axis is horizontal.

[15]

Page 2 of 2

Set No - 1

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1. Construct a vernier scale of R.F = 2 to show cm, 1/10th

of cm and 1/100th

of cm to read

upto 9 cm. Mark on the scale the lengths 7.02 cm and 2.25cm.

[15]

2. The front view of a line, inclined at 30⁰ to the V.P. is 65 mm long. Draw the projections

of the line, when it is parallel to and 40 mm above the H.P., its one end being 30 mm in

front of the V.P.

[15]

3. The end A of a line AB is in the H.P. and 25 mm behind the V.P. The end B is in the V.P.

and 50 mm above the H.P. The distance between the end projectors is 75 mm. Draw the

projections of AB and determine its true length, traces and inclinations with the two

planes.

[15]

4. Draw the projections of a regular pentagon of 40 mm side, having its surface inclined at

30⁰ to the H.P. and a side parallel to the H.P. and inclined at an angle of 60⁰ to the V.P.

[15]

5. Draw the projections of a square pyramid of 32 mm side of base and axis 55 mm. It is

resting on H.P. on one of its base corners with a base side containing the corner making

30⁰ with H.P. The axis is inclined at 30⁰ to V.P. and is parallel to H.P. The vertex is away

from the V.P.

[15]

6. Draw the projections of a pentagonal prism of 30 mm side of base and 65 mm long. It is

lying on one of its longer edges on HP with one rectangular face perpendicular to H.P.

such that the axis makes 60⁰ with V.P.

[15]

Page 1 of 2

Set No - 2

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[15]

8. Draw the isometric projection of a cylinder of base of 50 mm diameter and 70 mm height

when it rests with its base on H.P.

[15]

Page 2 of 2

Set No - 2

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1. The major and minor axes of an elliptical fish pond are 10 m and 6 m respectively. Draw

the ellipse by Oblong Method.

[15]

2. The length of the top view of a line parallel to the V.P. and inclined at 45⁰ to the H.P. is 5

cm. One end of the line is 1.2 cm above the H.P. and 2.5 cm in front of the V.P. Draw the

projections of the line and determine its true length.

[15]

3. A line AB, 90 mm long, is inclined at 30⁰ to the H.P. Its end A is 12 mm above the H.P.

and 20 mm in front of the V.P. Its front view measures 65 mm. Draw the top view of AB

and determine its inclination with the V.P.

[15]

4. Draw the projections of a rhombus having diagonals 125 mm and 50 mm long, the

smaller diagonal of which is parallel to both the principal planes, while the other is

inclined at 30⁰ to the H.P.

[15]

5. Draw the projections of a cylinder 75 mm diameter and 100 mm long, lying on the

ground with its axis inclined at 30⁰ to the vertical plane.

[15]

6. A pentagonal pyramid side of base 20 mm and axis 45 mm long rests with one of its

corners on H.P. such that the base is inclined at an angle of 60⁰ to H.P. and one side of

base is perpendicular to V.P. Draw its projections.

[15]

Page 1 of 2

Set No - 3

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[15]

8. Draw the isometric projection of a hollow rectangular prism of base 50 X 40 mm

(outside), height 75 mm and thickness 8 mm when its axis is horizontal.

[15]

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Set No - 3

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1. Construct an ellipse when the major axis is 120 mm and the distance between the foci is

108 mm by Arcs of Circles Method and determine the length of the minor axis.

[15]

2. Two points A and B are in the H.P. The point A is 30 mm in front of the V.P., while B

is behind the V.P. The distance between their projectors is 75 mm and the line joining

their top views makes an angle of 45⁰ with xy. Find the distance of the point B from the

V.P.

[15]

3. A line AB, 65 mm long, has its end A in the H.P. and 15 mm in front of the V.P. The end

b is in the third quadrant. The line is inclined at 30⁰ to the H.P. and at 60⁰ to the V.P.

Draw its projections.

[15]

4. Draw the projections of a regular pentagon of 40 mm side, having its surface inclined at

30⁰ to the H.P. and a side parallel to the H.P. and inclined at an angle of 60⁰ to the V.P.

[15]

5. Draw the projections of a cylinder, base 30 mm diameter and axis 40 mm long resting

with a point of its base circle on H.P. such that the axis is making an angle of 30⁰ with

H.P. and parallel to V.P.

[15]

6. Draw the top and front views of a cone of base diameter 46 mm and height 65 mm lying

with one of its generators on H.P. The axis is parallel to V.P.

[15]


[15]

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Set No - 4

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8. A pentagonal pyramid having the side of base 30 mm and the height of 70 mm is resting

on one of the corners of the base and its axis is inclined to 30⁰ to the H.P. Draw its

projections and also prepare the isometric view of the pyramid.

[15]

Page 2 of 2

Set No - 4

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ENGINEERING DRAWING (Common to ECE, BT, PCE Branches)




1. A fixed point is 75mm from a fixed straight line. Draw the locus of a point P moving such

a way that its distance from the fixed straight line is

(a) Twice its distance from the fixed point

(b) Equal to its distance from the fixed point. Name the curves.

[15]

2. Draw a hypocycloid of a circle of 45mm diameter which rolls inside another circle of 200

mm diameter for one revolution. Draw a tangent and normal at any point on it.

[15]

3.(a) The point A is on H.P. and 40mm in front of V.P. Another point B is on V.P. and below

H.P. The line joining their front views makes an angle of 450 with x y, while the line

Joining their top views makes an angle of 300. Find the distance of the point B from H.P.

(b) Draw the projections of the following points in third quadrant when the

(i) Point A lies in the H.P. and 22mm away from the V.P.

(ii) Point B lies in the V.P. and 32mm away from the H.P.

(iii) Point C lies 32mm from the H.P. and 22mm from the V.P.

[7+8]

4. A line PQ, 100mm long, is inclined at 450 to the H.P. and at 30

0 to the V.P. Its end P is in

the second quadrant and Q is in the fourth quadrant. A point R on PQ, 40mm from P is in

both the planes. Draw the projections of PQ.

[15]

5. Draw the projections of a regular hexagon of 25mm side, having one of its sides in the

H.P. and inclined at 600 to the V.P, and its surface making an angle of 45

0 with the H.P.

[15]

6. The frustum of a hexagonal pyramid side of top and bottom 25 mm and 40 mm

respectively with axis 50 mm height rests on its base in H.P. Its axis is parallel to V.P. A

sphere of diameter 40 mm is placed centrally on top of the prism. Draw the orthographic

projections and provide the isometric projection of the solid.

[15]

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Set No - 1

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7. Two views of a casting are shown in figure 1. Draw the isometric view of the casting

(All dimensions are in mm).

Figure-1

[15]

8. Draw the front view, top view, right and left side views of the object shown in figure 2

(All dimensions in mm).

Figure-2

[15]

Page 2 of 2

Set No - 1

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1. A fixed point is 75mm from a fixed straight line. Draw the locus of a point P moving such

a way that its distance from the fixed straight line is

(i) twice its distance from the fixed point

(ii) equal to its distance from the fixed point. Name the curves.

[15]

2. A circle of 50mm diameter rolls on the circumference of another circle of 175mm

diameter and outside it. Trace the locus of a point on the circumference of the rolling

circle for one complete revolution. Name the curve. Draw a tangent and a normal to the

curve at a point 125mm from the center of the directing circle.

[15]

3.(a) A point A is 2.5 cm above the H.P. and 3 cm infront of the V.P. Draw its Projections.

(b) A point A is 2 cm below the H.P. and 4 cm behind the V.P. Draw its Projections.

(c) Two points A and B are in the H.P. The point A is 30mm in front of the V.P., while B is

behind the V.P. The distance between their projectors is 75mm and the line joining their

top views makes an angle of 450 with xy. Find the distance of the point B form the V.P.

[4+4+7]

4. A line AB 120mm long is inclined at 450 to the H.P. and 30

0 to the V.P. Its mid point C is

in V.P. and 20mm above H.P. The end A is in the third quadrant, and B is in the first

quadrant Draw the projections of the line.

[15]

5. Draw the projections of a circle of 60 mm diameter, resting on V.P. on a point on the

circumference. The plane is inclined at 450 to V.P. and perpendicular to H.P. The centre of

the plane is 40mm above H.P.

[15]

6.(a) Draw the projections of a hexagonal prism of base 25mm and axis 60mm long, when it is

resting on one of its corners of the base on H.P. The axis of the solid is inclined at 450 to

H.P.

(b) Draw the projections of a pentagonal prism of base 25mm side and axis 50mm long, when

it is resting on one of its rectangular faces on H.P., the axis of the solid is inclined at 450 to

V.P.

[8+7]

7. Draw the isometric view of a hexagonal prism, with side of base 25mm and axis 60mm

long, The prism is resting on its base on H.P. with an edge of the base parallel to V.P. Use

the box method

[15]

Page 1 of 2

Set No - 2

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8. Draw the front view, top view and right side view of the object shown in figure 1.


Figure-1

[15]

Page 2 of 2

Set No - 2

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1. A fixed point F is 7.5cm from a fixed straight line. Draw the locus of a point P moving in

such a way that its distance from the fixed straight line is 2/3 times its distance from F.

Plot at least 9 points. Name the curves. Also draw a normal and a tangent to the curve at a

point on it 6cm from F.

[15]

2. A circle of 115 mm diameter rolls on another circle of 75mm diameter with internal

contact. Draw the locus of a point on the circumference of rolling circle for its one

complete revolution.

[15]

3.(a) Draw the projections of the following points on the same ground line, keeping the

Projectors 25mm apart.

(i) A, in the H.P. and 20 mm behind the V.P.

(ii) B, 40mm above the H.P. and 25mm in front of the V.P.

(b) State the quadrants with the help of drawing, in which the following points are situated

(i) A point P; its top view is 40mm above xy; the front view 20 mm below the top view.

(ii) A point Q; its projections coincide with each other 40mm below x y.

[8+7]

4. The mid point of a straight line AB is 60mm above H.P. and 50mm in front of V.P. The

line measures 80mm long and inclined at 300 to H.P. and 45

0 to V.P. Draw its projections.

[15]

5.(a) A regular pentagon of 25mm side has one side on the ground. Its plane is inclined at 450

to the H.P. and perpendicular to the V.P. Draw its projections.

(b) Draw the projections of a circle of 5cm diameter, having its plane vertical and inclined at

300 to the V.P. Its centre is 3cm above the H.P. and 2cm in front of the V.P.

[8+7]

6. Draw the projections of a pentagonal prism, base 25mm side and axis 50mm long, resting

on one of its rectangular faces on the H.P., with the axis inclined at 450 to the V.P.

[15]

7. Draw the isometric view of a Door-Steps having three steps of 22cm tread and 15cm rise.

The steps measure 75cm widthwise.

[15]

Page 1 of 2

Set No - 3

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8. Draw the elevation, plan and left and right views of the bracket shown in the figure- 1.


Figure-1

[15]

Page 2 of 2

Set No - 3

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1. Show by means of a drawing that when the diameter of the directing circle is twice that of

the generating circle, the hypocycloid is a straight line. Take the diameter of the

generating circle equal to 50mm.

[15]

2. A circle of 35mm diameter rolls on a horizontal line. Draw the curve traced out by a point

R on the circumference for one half revolution of the circle. For the remaining half

revolution, the circle rolls on the vertical line. The point R vertically above the center of

the circle in the starting position.

[15]

3.(a) A point A is 20mm above H.P. and in the first quadrant. Its shortest distance from the

reference line XY is 40mm. Draw the projections of the point and determine its distance

from V.P.

(b) A point at 25mm above the reference line x y is the front view of two points A and B. The

top view of A is 40mm behind V.P. and the top view of B is 50mm in front of V.P. Draw

the projections of the points and state their positions relative to the planes of projection

and the quadrants in which they lie.

[8+7]

4. A line measuring 75mm long has one of its ends 50mm in front of V.P. and 15mm above

H.P. The top view of the line is 50mm long. Draw and measure the front view. The other

end is 15mm in front of V.P. and is above H.P.

[15]

5. Draw the projections of a regular hexagon of 25mm side, having one of its sides in the

H.P. and inclined at 600 to the V.P, and its surface making an angle of 45

0 with the H.P.

[15]

6. An equilateral triangular prism of side of base 25mm and axis 50mm long, is resting on an

edge of its base on H.P. The face containing that edge is inclined at 300 to H.P. Draw the

projections of the prism, when the edge on which the prism rests, is inclined at 600 with

V.P.

[15]

7. Draw the isometric drawing of a cone of base diameter 30mm and axis 45mm long.

[15]

Page 1 of 2

Set No - 4

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8. Draw the following views of the block shown in figure 1. All dimensions are in mm.

Figure 1

(i) Front View.

(ii) Top view

(iii) Both side views.

[15]

Page 2 of 2

Set No - 4

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ENGINEERING PHYSICS - II (Common to All Branches)




1.(a) Write down time dependent and time independent Schrodinger wave equations. (b) Show that the energy of an electron confined in a one dimensional potential well of length

L and infinite depth is quantized. (c) The electron trapped in potential well cannot have zero energy. Explain, why?

[4+9+2] 2.(a) Explain the terms ‘Drift Velocity’ and ‘Carrier Mobility’. (b) What are assumptions of classical free electron theory? (c) Based on classical free electron theory, derive an expression for electrical conductivity in

metals. [3+4+8]

3.(a) Discuss with suitable mathematical expressions, the motion of an electron in a periodic potential.

(b) Explain how the above theory leads to the concept of band structure of solids. (c) What is effective mass of electron?

[8+4+3] 4.(a) What are ferromagnetic materials? Write notes on hysteresis.

(b) How would you use the hysteresis curves to select material for the construction of permanent magnets?

(c) Diamagnetic Al2O3 is subjected to external magnetic field of 105 A/m. Evaluate magnetization and magnetic flux density in Al2O3. (Susceptibility of Al2O3 = -5x10-5).

[9+2+4] 5.(a) Explain the significance of three critical parameters of superconductors. (b) Explain ac and dc Josephson’s effect. Discuss the applications of Josephson’s effect.

[6+9] 6.(a) What do you understand by dielectric constant? Define dielectric susceptibility. Derive the

relation between dielectric constant and dielectric susceptibility. (b) Explain electronic polarisability and show that electronic polarisability for a mono atomic

gas increases as the size of the atom becomes larger. [5+10]

7.(a) Write the expressions for electron and hole concentrations in an intrinsic semiconductor and hence derive the expression for Fermi energy in an intrinsic semiconductor.

(b) How does the electrical conductivity vary with temperature for an intrinsic semiconductor?

(c) If the effective mass of electron is equal to twice the effective mass of hole, determine the position of the Fermi level in an intrinsic semiconductor from the centre of forbidden gap at room temperature. [6+5+4] 8. Write a brief note on (i) Nano materials (ii) Flux quantization (iii) Hall effect [5+5+5]

Page 1 of 1

Set No - 1

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1.(a) Show that the solution of Schrodinger’s equation for a particle in an infinite potential well leads to the concept of quantization of energy. Obtain Eigen functions for the particle. Show necessary wave forms.

(b) Find the lowest energy of an electron confined to move in a one dimensional box of length 1Å. Express the result in electron volts.

[11+4] 2.(a) What are the drawbacks of the classical free electron theory?

(b) Derive an expression for electrical conductivity of a conducting material based on quantum mechanical treatment.

(c) Find the relaxation time of conduction electrons in a metal if its resistivity is 1.54x10-8Ωm

and it has 5.8x1028 conduction electrons/m3. [3+8+4]

3.(a) Discuss with suitable mathematical expressions, the motion of an electron in a periodic potential.

(b) Explain how the above theory leads to the concept of band structure of solids. (c) What is effective mass of electron?

[8+4+3] 4.(a) Explain magnetic flux density, B, magnetic field strength, H and Magnetisation M. Derive

the relation between them. (b) Describe dia, para and ferromagnetic materials. Explain their classification on the basis of

permanent magnetic moment. [6+9]

5.(a) What is superconductivity? Explain Meissner effect. Describe type-I and type-II superconductors.

(b) Discuss the applications of superconductors. [12+3]

6.(a) What do you understand by dielectric constant? Define dielectric susceptibility. Derive the relation between dielectric constant and dielectric susceptibility.

(b) Explain electronic polarisability and show that electronic polarisability for a mono atomic gas increases as the size of the atom becomes larger.

[5+10] 7.(a) Write notes on drift and diffusion currents.

(b) Obtain the expression for density of electrons in the conduction band of an n-type extrinsic semiconductor.

[6+9] 8. Write a brief note on (i) Nano tubes (ii) Clausius-Mosotti equation (iii) Bloch theorem [5+5+5]

Page 1 of 1

Set No - 2

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1.(a) Write down time dependent and time independent Schrodinger wave equations. (b) Show that the energy of an electron confined in a one dimensional potential well of length

L and infinite depth is quantized. (c) The electron trapped in potential well cannot have zero energy. Explain, why?

[4+9+2] 2.(a) What are the drawbacks of the classical free electron theory?

(b) Derive an expression for electrical conductivity of a conducting material based on quantum mechanical treatment.

(c) Find the relaxation time of conduction electrons in a metal if its resistivity is 1.54x10-8Ωm

and it has 5.8x1028 conduction electrons/m3. [3+8+4]

3.(a) Explain the formation of energy bands in solids and explain in detail how solids are classified on the basis of energy band gap.

(b) According to band theory, a completely filled or empty band is not associated with electrical conduction. Only partially filled band is responsible for electrical conduction. Explain.

[10+5] 4.(a) What are ferromagnetic materials? Write notes on hysteresis.

(b) How would you use the hysteresis curves to select material for the construction of permanent magnets?

(c) Diamagnetic Al2O3 is subjected to external magnetic field of 105 A/m. Evaluate magnetization and magnetic flux density in Al2O3. (Susceptibility of Al2O3 = -5x10-5).

[9+2+4] 5.(a) What is superconductivity? Explain Meissner effect. Describe type-I and type-II

superconductors. (b) Discuss the applications of superconductors.

[12+3] 6.(a) Distinguish between electronic, ionic and orientation polarization and discuss the effect of

temperature on each of them. (b) Deduce an expression for Lorentz field relating to a dielectric material.

[7+8] 7.(a) Write notes on drift and diffusion currents.

(b) Obtain the expression for density of electrons in the conduction band of an n-type extrinsic semiconductor.

[6+9] 8. Write a brief note on (i) Nano materials (ii) Flux quantization (iii) Hall effect [5+5+5]

Page 1 of 1

Set No - 3

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1.(a) Show that the solution of Schrodinger’s equation for a particle in an infinite potential well leads to the concept of quantization of energy. Obtain Eigen functions for the particle. Show necessary wave forms.

(b) Find the lowest energy of an electron confined to move in a one dimensional box of length 1Å. Express the result in electron volts.

[11+4] 2.(a) Explain the terms ‘Drift Velocity’ and ‘Carrier Mobility’. (b) What are assumptions of classical free electron theory? (c) Based on classical free electron theory, derive an expression for electrical conductivity in

metals. [3+4+8]

3.(a) Explain the formation of energy bands in solids and explain in detail how solids are classified on the basis of energy band gap.

(b) According to band theory, a completely filled or empty band is not associated with electrical conduction. Only partially filled band is responsible for electrical conduction. Explain.

[10+5] 4.(a) Explain magnetic flux density, B, magnetic field strength, H and Magnetisation M. Derive

the relation between them. (b) Describe dia, para and ferromagnetic materials. Explain their classification on the basis of

permanent magnetic moment. [6+9]

5.(a) Explain the significance of three critical parameters of superconductors. (b) Explain ac and dc Josephson’s effect. Discuss the applications of Josephson’s effect.

[6+9] 6.(a) Distinguish between electronic, ionic and orientation polarization and discuss the effect of

temperature on each of them. (b) Deduce an expression for Lorentz field relating to a dielectric material.

[7+8] 7.(a) Write the expressions for electron and hole concentrations in an intrinsic semiconductor

and hence derive the expression for Fermi energy in an intrinsic semiconductor. (b) How does the electrical conductivity vary with temperature for an intrinsic

semiconductor? (c) If the effective mass of electron is equal to twice the effective mass of hole, determine the

position of the Fermi level in an intrinsic semiconductor from the centre of forbidden gap at room temperature.

[6+5+4] 8. Write a brief note on (i) Nano tubes (ii) Clausius-Mosotti equation (iii) Bloch theorem [5+5+5]

Page 1 of 1

Set No - 4

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Subject Code: R10201/R10 (2012-2013 batch)

I B.Tech II Semester Regular Examinations July/Aug. - 2013

ENGLISH - II (Common to All Branches)




1.(a) Describe how changes in society through technology can lead to wealth generation in a

poor country like India.

(b) Write the antonyms:

(i) Negate (ii) Abundance (iii) Vulnerable

(iv) Straight (v) Indolence [10+5]

2.(a) Explain the views of L.A. Hill in ‘Principles of Writing’.

(b) Supply the quantifiers: (some, no, any, all, a lot of, many, much)

(i) Are there ---- eggs in the basket?

(ii) There is ---- sugar in the tin.

(iii) She knows ------ stories.

(iv) Can you give me ------ advice?

(v) There are ------ vehicles on the road. [10+5]

3.(a) What are the suggestions made by Russell to nations and general public for the

maintenance of peace?

(b) Fill in the blanks with suitable conjunctions:

(i) I came early------------- everyone was late.

(ii) Bread --------- butter make a good breakfast.

(iii) The boy was lazy------------------- the teacher punished him.

(iv) She is a good singer----------------- a poor dancer.

(v) ------------- it rains, I will not go to school. [10+5]

4.(a) Describe the behavior of the local population as narrated by George Orwell.

(b) Correct the following sentences:

(i) He is an university student

(ii) We discussed about the matter.

(iii) He told to me that he was a teacher.

(iv) He is sick but he cannot attend the school.

(v) He is the tallest of the two. [10+5]

5.(a) ‘Adaptability’ is one of the personal traits that helps to achieve the career goal’- Explain.

(b) Fill in the blanks with correct prepositions:

(i) The cat is------------ the sofa.

(ii) He looked ---------------.

(iii) This book is written------------- Adams.

(iv) He waited there -------------- two hours.

(v) I don’t agree ------------ you. [10+5]

Page 1 of 2

Set No - 1

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6.(a) Write a report to the Chief Engineer on the necessity of solar energy devices. You are

working in State Electricity Board as Assistant Engineer.

(b) Read the passage and answer the questions:

Being stupid and having no imagination, animals often behave far more sensibly

than men. Efficiently and by instinct they do the right, appropriate thing at the right

moment – eat when they are hungry, look for water when they feel thirsty, make love in

the mating season, rest or play when they have leisure.

Men are intelligent and imaginative; they look backwards and ahead; they invent

ingenious explanation, or observe phenomena; they devise elaborate and roundabout

means for the achievement of remote ends. Their intelligence which has made them the

masters of the world often causes them to act like imbeciles. No animal, for example, is

clever and imaginative enough to suppose that an eclipse is a work of a serpent devouring

the sun. And only a human being would dream of making ritual gestures, in the hope of

influencing for his own benefit the outside world. Man being endowed with reason and

imagination, wastes half his time and energy in doing things that are completely idiotic.

In time true experience teaches formulas and ceremonial gestures would not give him

what he wants. But until experience has taught him, he takes surprisingly long time to

learn that man’s behavior in many respects is far sillier than that of the animal’s.

QUESTIONS

(i) Which factor helps the animals to do the right thing at right time?

(ii) How can you say that men act like imbeciles?

(iii)Why do men observe rituals?

(iv) How does man waste his time?

(v) Compare man’s behavior with that of an animal. [10+5]

7.(a) Make a presentation with 5 to 6 slides on ‘Tree Plantation’.

(b) Fill in the blanks with suitable articles.

(i) I met --------------- university student.

(ii) I saw him at------------------ museum.

(iii) Jone is --------------- Italian.

(iv) He is -------------- honorable person.

(v) Shall we have----------- drink? [10+5]

8.(a) Write a letter to a book seller placing an order for the books. Give the list of the books

and write a covering letter.

(b) Match the following.

A B (i) Didactic Pound foolish

(ii) Beg, Borrow Disaster

(iii) Pennywise Quantifier

(iv) Earthquake Or steal

(v) A little Teaching [10+5]

Page 2 of 2

Set No - 1

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Time: 3 hours Max. Marks: 75 Answer any FIVE Questions


1.(a) What are the problems that India would face in making Abdul Kalam’s dream into

reality?


(i) Essential (ii) Endured (iii) Tenacity

(iv) Avert (v) Soggy [10+5]

2.(a) Write an essay on the importance of a writer being a good reader and a keen observer on

the basis of Hill’s guidelines.

(b) Supply the quantifiers: (any, some, anything, nothing, something, a lot of)

(i) There is ---- problem with the fan.

(ii) Is there ---- food in the kitchen?

(iii) I have ----- work to do.

(iv) Did you say -----?

(v) Would you like---- to eat? [10+5]

3.(a) Justify Russell’s statement that world is ‘full of conflicts’.


(i) Did you come by bus-------- train?

(ii) He is a good worker ---------- he got a promotion.

(iii) It started raining ------ we were playing.

(iv) Let us go home------------- it gets dark.

(v) She looked upset ---------------- the results were announced. [10+5]

4.(a) Comment on Orwell’s decision to shoot the elephant.

(b) Correct the following sentences:

(i) He described about his journey.

(ii) Ram worked hard so he failed.

(iii) Little water in the pot quenched the thirst of the crow.

(iv) The leader did anything for the people.

(v) He ran fastly. [10+5]

5.(a) Write about motivation and commitment.

(b) Fill in the blanks with correct prepositions.

(i) The cat is ---------- the sofa.

(ii) He looked ---------------- the sky.

(iii) This book is written ------------ Graham Swift.

(iv) He waited there----------- two hours.

(v) I don’t agree ---------- you. [10+5]

Page 1 of 2

Set No - 2

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6.(a) Write a report to the Managing Director, Arvind Textiles,6th cross, Peters Lane, Calcutta

on the feasibility of starting a new Textile Industry in Hyderabad. You are the sales

manager of the company .


The philosophers have often maintain that happiness, like beauty, is a by-

product, a lovely but accidental acquisition. As the bloom appears on flowers or on the

face of youth, so does bliss slip into our lives, coming the more surely the less it is

pursued. You set out to do something, you pin your mind on the purpose, you do the job

and lo! Happiness descends upon you. But you must not think about the pleasure; stick to

the deed, the action and there comes the joy, a secret visitation. The nature of the deed

does not matter greatly, so long as your heart and brain and the muscles are in the work.

To hit a ball correctly or to compose a masterpiece, the process is the same. Concentrate

and the mysterious felicity will follow. The way to ensure happiness is not to seek it. So

they say, but mankind has never believed it. Mankind, in the main is more concerned

with pleasure than with happiness; it believes in a “good time” which is made good by

the very reason of our intention to enjoy. This fervor of holiday spirit, this instinctive

passion for carnival, is perhaps inarticulate but quite an unquestionable response to the

grave philosopher, who resolves happiness into an accident of successful action.

Questions

(i) What is an accidental acquisition?

(ii) How does happiness descend on us ?

(iii) What does the philosopher say about happiness?

(iv) Give the list of the tasks for which the process is the same.

(v) Explain the nature of mankind. [10+5]

7.(a) Prepare a presentation on ‘Eco Friendly Power generation’. Explain with the help of 5 to

6 slides.

(b) Fill in the blanks with suitable articles:

(i) I met ------------ one-eyed man at the station.

(ii) Can you play---------- instrument?

(iii) ----------- Bible is ------------ holy book.

(iv) It is --------- unicorn. [10+5]

8.(a) Write a complaint letter to the Municipal Commissioner about the bad state of roads and

drainage system in your locality.

(b) Match the following:

A B (i) Etiquette vegetation

(ii) Commission calamity

(iii) Flora and fauna punctuation

(iv) Tornado members

(v) Semi-colon decorum [10+5]

Page 2 of 2

Set No - 2

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1.(a) What are the factors that constitute a knowledge society according to Abdul Kalam.


(i) Err (ii) Altruistic (iii) Glee

(iv) Endowed (v) Flabbily [10+5]

2.(a) Analyse Hill’s observation regarding a simple and clear style of writing.

(b) Supply the quantifiers: (many, some, plenty, a lot of, enough, any, a few)

(i) Drink ----- water.

(ii) There is ---- water in the pot.

(iii) I want to buy ----------- books.

(iv) She never had---- experience for the post.

(v) There isn’t --- parking space here. [10+5]

3.(a) Are the views of Russell on war and peace relevant to the present world? Justify.

(b) Fill the blanks with conjunctions:

(i) ------he failed in the exam, he left the hostel.

(ii) ------------ he is poor ,he is generous.

(iii) I dropped the jar ----------- it didn’t break.

(iv) ------------ it is hot outside, the children are playing.

(v) Ram ---------- Shyam are good friends. [10+5]

4.(a) Describe in your own words the actual shooting of the elephant in Orwell’s work.

(b) Correct the following sentences.

(i) Despite of his illness, he attended the meeting.

(ii) She is angry on me.

(iii) He cut the apple by the knife.

(iv) Do you see blue sky ?

(v) There is many milk in the bottle. [10+5]

5.(a) Write an essay on ‘Stress Management’.


(i) He was ---------- time for presentation.

(ii) The thief was caught ----------- the police.

(iii) He congratulated the team ------------ their success.

(iv) The Exam starts ------------- 9 a.m.

(v) She is angry -------------- me. [10+5]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


6.(a) The management of a newspaper wants to start a weekly magazine and has asked one of

its committee members to make a study of the readership and send a report.


Being stupid and having no imagination, animals often behave far more sensibly

than men. Efficiently and by instinct they do the right, appropriate thing at the right

moment – eat when they are hungry, look for water when they feel thirsty, make love in

the mating season, rest or play when they have leisure.

Men are intelligent and imaginative; they look backwards and ahead; they invent

ingenious explanation, or observe phenomena; they devise elaborate and roundabout

means for the achievement of remote ends. Their intelligence which has made them the

masters of the world often causes them to act like imbeciles. No animal for example is

clever and imaginative enough to suppose that an eclipse is a work of a serpent devouring

the sun. And only a human being would dream of making ritual gestures, in the hope of

influencing for his own benefit the outside world. Man being endowed with reason and

imagination, wastes half his time and energy in doing things that are completely idiotic.

In time true experience teaches formulas and ceremonial gestures would not give him

what he wants. But until experience has taught him, he takes surprisingly long time to

learn that man’s behavior in many respects is far sillier than that of the animal’s.

QUESTIONS

(i) Which factor helps the animals to do the right thing at the right time?

(ii) How can you say that men act like imbeciles?

(iii) Why do men observe rituals?

(iv) How does man waste his time?

(v) Compare man’s behavior with that of an animal. [10+5]

7.(a) Make a presentation on the necessity to build check dams near your area to store water

during rainy season .Give the details of the available area of the cultivable land,location

etc.... Prepare 5 or 6 slides.

(b) Fill in the blanks with suitable articles.

(i) It is ------------- wonderful painting.

(ii) I have ------------ one rupee coin with me

(iii) He is ----------- idiot.

(iv) ------------- Ramayana is ---------------- great epic. [10+5]

8.(a) Write a letter to your father inviting him to attend your convocation ceremony.


A B

(i) Didactic Pound foolish

(ii) Beg, Borrow Disaster

(iii) Pennywise Quantifier

(iv) Earthquake Or steal

(v) A little Teaching [10+5]

Page 2 of 2

Set No - 3

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1.(a) What is Abdul Kalam’s vision regarding knowledge society?

(b) Give the antonyms:

(i) Negate (ii) Tenacity (iii) Noble

(iv) Despotic (v) Eliminate [10+5]

2.(a) Summarize L.A. Hills advice to the one who wants to be a successful writer.

(b) Supply the quantifiers.(many, some, no, any, a lot of, much, something)

(i) There is a ------------- sugar in the tin.

(ii) There are ---------- apples in the basket.

(iii) I want -------------to eat now.

(iv) I have to drink-------------- water.

(v) Is there ----------------- sense in this question? [10+5]

3.(a) Russell in his essay describes the repercussion of atomic warfare. Summarige in your

own words.


(i) The meeting began in the morning----------- lasted--------- evening.

(ii) ----------------- the weather is cold, John has put on a coat.

(iii) He worked hard ----------- secured first rank.

(iv) ------------ it rains, I need not water the plants. [10+5]

4.(a) Comment on Orwell’s decision to shoot the elephant in the lesson prescribed for your

study.

(b) Correct the following sentences.

(i) The two thieves shared the money among themselves.

(ii) He is so weak to attend the work.

(iii) Either Ram nor Shyam will attend the meeting.

(iv) The Ashoka is a great king.

(v) Violin is a musical instrument. [10+5]

5.(a) Write an essay on Team Work and Integration.


(i) He is curious ------------- many things.

(ii) I am looking forward --------- the proposal.

(iii) He is leaving------------- Delhi tomorrow.

(iv) The table is made--------- wood.

(v) I am tired ------------- walking. [10+5]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


6.(a) As a Marketing Manager of Sunfield Automobiles, Andheri , Mumbai,submit a report on

the decline of sales to the Director, Marketing.


The philosophers have often maintain that happiness, like beauty, is a by-

product, a lovely but accidental acquisition. As the bloom appears on flowers or on the

face of youth, so does bliss slip into our lives, coming the more surely the less it is

pursued. You set out to do something, you pin your mind on the purpose, you do the job

and lo! Happiness descends upon you. But you must not think about the pleasure; stick to

the deed, the action and there comes the joy, a secret visitation. The nature of the deed

does not matter greatly, so long as your heart and brain and the muscles are in the work.

To hit a ball correctly or to compose a masterpiece, the process is the same. Concentrate

and the mysterious felicity will follow. The way to ensure happiness is not to seek it. So

they say, but mankind has never believed it. Mankind, in the main is more concerned

with pleasure than with happiness; it believes in a “good time” which is made good by

the very reason of our intention to enjoy. This fervor of holiday spirit, this instinctive

passion for carnival, is perhaps inarticulate but quite an unquestionable response to the

grave philosopher, who resolves happiness into an accident of successful action.

Questions

(i) What is an accidental acquisition?

(ii) How does happiness descend on us ?

(iii) What does the philosopher say about happiness?

(iv) Give the list of the tasks for which the process is the same.

(v) Explain the nature of mankind. [10+5]

7.(a) Prepare a presentation with 5to 6 slides on Sources of Power Generation .

(b) Write the articles in the blanks:

(i) I wrote --------- letter to him.

(ii) There is -------------- umbrella in the corner.

(iii) The Nile is ---------longest river in Egypt.

(iv) He is -------------- honest man.

(v) The earth revolves round------------- sun. [10+5]

8.(a) Write a letter to the university to know the details of admissions, courses available and

fee structure etc....


A B (i) Etiquette vegetation

(ii) Commission calamity

(iii) Flora and fauna punctuation

(iv) Tornado members

(v) Semi-colon decorum [10+5]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|

Subject Code: R10201/R10 (2010-11, 2011-12 batches)

I B.Tech II Semester Supplementary Examinations July/Aug. - 2013





1.(a) You are in charge of stock verification of your library, Write an e-mail message to your

staff members to return the books to the library.


(i) Think twice------------- you act

(ii) He writes slowly------------ neatly.

(iii) He passed the examination ------------- he works hard.

(iv) They offered lunch-----------I didn't eat.

(v) I went to the station --------- the train had left the platform.

[10+5]

2.(a) Develop a dialogue between you and a sales person of A.C machines. You want to

purchase 6 A.C machines for your office.

(b) Supply the quantifiers.(a little, many, some, a few, any, nothing)

(i) Do you have ----------- questions to ask?

(ii) How----------- children are there in the hostel?

(iii) At least ---------------- people shall attend the meeting.

(iv) Not -------------, I want -----------.

[10+5]

3.(a) The general manager of Opera detergent factory, Ahmadabad asked the senior sales

executive to submit a report on the feasibility of starting a new branch. You are the senior

sales executive.

(b) Insert articles where necessary.

(i) Do you have------------- pen?

(ii) Look at----------- moon!

(iii) He is ------------- honest person.

(iv) I met him ------------ year ago.

(v) --------------- I want to read is not in the library.

[10+5]

4.(a) Write an Essay on ‘Use of Plastics’.

(b) Write the Antonyms of the following.

(i) Summit

(ii) Beneath

(iii) Sparingly

(iv) Vulnerable

(v) Noble

[10+5]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


5.(a) How will you make a power point presentation on Development of technology with the

help of 5 to 6 slides ?

(b) Fill in the blanks with suitable prepositions.

(i) He has no desire ----------- fame.

(ii) They stopped me------------- going.

(iii) Silkworms feed----------- mulberry leaves.

(iv) I exchanged ----------- him, my mobile ----------- a pen drive.

[10+5]

6.(a) Write a dialogue between you and your senior colleague on the first day of your office.

(b) Punctuate the following.

Alex dont you think we should order dinner I m hungry lets have waffles again.

[10+5]

7.(a) Write about ‘Motivation’ to attain the desired goal.

(b) Place Exclamatory marks:

(i) Wow it’s a wonder

(ii) Ah I passed the exam

(iii) I am pleased

(iv) O my God

(v) of course you do

[10+5]

8.(a) You ordered furniture for your office. Write a letter to Alpha Furniture shop, Main

Street,11th cross, Lucknow, about the delay in supplying the order.


(i) Plenty of Interaction

(ii) Stress management Full of problems

(iii) Communication Dazzling

(iv) Gorgeous Life skill

(v) Pandora’s box Quantifier

[10+5]

Page 2 of 2

Set No - 1

||''''|||''|'''||''|







1.(a) Write an email message to your friends inviting them to your birthday party.

(b) Complete the sentence with suitable conjunctions.

(i) I wonder ----------- he will come.

(ii) I ran fast----------- I missed the train.

(iii) I will stay------------ you return.

(iv) Is the story true------------ false ?

(v) Man proposes ---------- god disposes.

[10+5]

2.(a) Develop a dialogue between two friends about traffic congestion in the town.

(b) Supply suitable quantifiers. (more, some, plenty, many, a few, nothing, something, any,

enough)

(i) I have ------------- money.

(ii) There is ---way to get out the danger.

(iii) I want -------- water.

(iv) ----------- is impossible

(v) --------- damage is done by your misdeeds.

[10+5]

3.(a) Submit a Report on the free meal scheme to school children to the district educational

officer. You are the officer in charge of the scheme.


(i) Not------word is said.

(ii) He can play ---------- flute.

(iii) He is not --------- honest man.

(iv) John got --------- best present.

(v) Varanasi is -------- holy city.

[10+5]

4.(a) Write an essay on solar power energy.

(b) Give the antonyms of the following.

(i) Noble

(ii) Glee

(iii) Summit

(iv) Elevate

(v) Abundance.

[10+5]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


5.(a) Give a power point presentation on disaster management.


(i) The river flows----------- the bridge.

(ii) I bought it---------- fifteen rupees.

(iii) He was stabbed ---- the thief---------- a dagger.

(iv) It’s ten o’clock------- my watch.

(v) I will sit --------- my desk to do my work.

[10+5]

6.(a) Develop a dialogue between a traveler and a tourist guide.

(b) Punctuate the following.

thank you yes I want to know how long it will take anyway I too dont know

[10+5]

7.(a) Write about the importance of Time Management to minimize Stress level.

(b) Place exclamatory marks

(i) Hey what is going on

(ii) Alas he is dead

(iii) Hats off

(iv) Hush the baby is sleeping

(v) You lost the game. Shame

[10+5]

8.(a) Write a letter to the post master about the change in your address.


(i) Pediatrics Hockey

(ii) Tyrant Natural disaster

(iii) Centre forward Child treatment

(iv) Tsunami Saves nine

(v) A stitch in time Despotic

[10+5]

Page 2 of 2

Set No - 2

||''''|||''|'''||''|







1.(a) Send an e-mail message to your class mates inviting them to attend the old students’ day.

Give the details.

(b) Fill in the blanks with suitable conjunctions.

(i) Time ---------tide wait for no man.

(ii) I believe --------- he is truthful.

(iii) Wait ----------- I come.

(iv) He worked hard ----------- he passed.

(v) ------------ he is rich, he is not happy.

[10+5]

2.(a) Write a situational dialogue between a student and the teacher. The student wants to

participate in the science fair.

(b) Supply the quantifiers.(much, many ,no, several, a lot of, all, everything)

(i) He has --------- desire for fame.

(ii) ------------ that glitters is not gold.

(iii) I have------------ doubts.

(iv) ----------- has to be done for the poor.

(v) --------------- people attended the fair.

[10+5]

3.(a) Submit a report to the Secretary, Ministry of Agriculture about the drought situation in

your district. You are working as a rural development officer.


(i) I saw ------------- blind man.

(ii) -------------- purse I had lost was found.

(iii) Mary goes to ---------- church every Sunday.

(iv) The ball looks like ---------- egg.

(v) Do you see ---------- sky?

[10+5]

4.(a) Write an essay on Nuclear power energy.

(b) Give the antonyms of the following

(i) Cheerful

(ii) Tenacity

(iii) Vulnerable

(iv) Melancholy

(v) Rival

[10+5]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


5.(a) Give a PPT on the work - shop conducted in your department.


(i) They came ------------ taxi.

(ii) Mumbai is famous------- its textiles.

(iii) The dog ran------------- the road.

(iv) The girl sat---- the cottage door.

(v) He walked--- foot.

[10+5]

6.(a) Develop a dialogue--- you have an argument with a person who hit your two wheeler and

damaged it.

(b) Punctuate the following:

Alex dont you think we should order dinner I m hungry lets have waffles again.

[10+5]

7.(a) Regular diet and physical exercise are helpful to maintain good health- elaborate.

(b) Place exclamatory marks

(i) Hey you won the game

(ii) Alas I lost my money

(iii) Oh she is in danger

(iv) Get lost

(v) What a thing.

[10+5]

8.(a) Write a letter to the book publisher asking him to send the books that you ordered as soon

as possible.


(i) Plenty of Interaction

(ii) Stress management Full of problems

(iii) Communication Dazzling

(iv) Gorgeous Life skill

(v) Pandora’s box Quantifiers

[10+5]

Page 2 of 2

Set No - 3

||''''|||''|'''||''|







1.(a) Give an e-mail message to your customer as sales manager, about the new products

launched by your Seasons Cosmetics Company.

(b) Fill in the blanks with suitable conjunctions.

(i) Stay--------- Monday.

(ii) I shall go ---------- I am invited.

(iii) Run fast------- you will miss the train.

(iv) He is richer --------- I am.

(v) He writes slowly---------- neatly.

[10+5]

2.(a) Write a dialogue on the necessity of speed breakers in front of your college gate.

(b) Supply the quantifiers. (much, great, almost, enough, more, a lot of, many, little)

(i) He has--------- money in his pocket.

(ii) It is ------- I don’t want any more.

(iii) There is -------------- noise in the class room.

(iv) ----------- people remained in the dark.

(v) The resources are --------------- exhausted.

[10+5]

3.(a) The general manager of Opera Detergent Factory, Ahmadabad, asked the senior sales

executive to submit a report on the feasibility of starting a new branch. You are the senior

sales executive.

(b) Fill in the blanks with suitable articles:

(i) Ram goes to ----------- temple every day.

(ii) Sheila is -----------untidy girl.

(iii) I saw --------- unicorn.

(iv) It is ---------- historical novel.

(v) I met him----- year ago.

[10+5]

4.(a) Write about protection of environment and conservation of resources.

(b) Give the synonyms of the following.

(i) Emphasis

(ii) Juggernaut

(iii) Conviction

(iv) Preventive

(v) Pedagogue

[10+5]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


5.(a) What are the advantages of a power point presentation? Give the details of your college

Industrial tour making a PPT of about 6 to 8 slides.


(i) He complained -------------- his neighbour.

(ii) What are you aiming--------?

(iii) The snake crept------------ the hole.

(iv) He drew water------------- the well.

(v) The enemy was killed ----- a soldier.

[10+5]

6.(a) Develop a dialogue--- You boarded a wrong train. Convince the ticket collector.

(b) Punctuate the following:

thank you yes I want to know how long it will take anyway I too dont know

[10+5]

7.(a) Discuss the importance of Sports. Do you suggest that sports should be included in

curriculum?

(b) Place exclamatory marks.

(i) Oh I missed it

(ii) Shut the door

(iii) My heavens

(iv) Don’t go away

(v) How fast he ran

[10+5]

8.(a) Write a letter to the Editor, Times of India, Calcutta, about conducting a common

entrance examination for all the courses.


(i) Pediatrics Hockey

(ii) Tyrant Natural disaster

(iii) Centre forward Child treatment

(iv) Tsunami Saves nine

(v) A stitch in time Despotic

[10+5]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|



ENVIRONMENTAL STUDIES (Common to CSE, EEE, CE, EIE, AE, BT & AME Branches)




1.(a) Describe the scope and importance of Environmental Studies.

(b) What are the various reasons for overexploitation of forest resources? Explain the

strategies for conservation of forest resources.

[8+7]

2.(a) What are renewable and non-renewable resources? Explain with examples.

(b) What do you mean by equitable use of resources in a Global contest?

[8+7]

3.(a) What is the main structure and function of grassland ecosystems?

(b) What are various components of ecosystems? What role do they play in ecosystem

processes?

[8+7]

4.(a) Give an account of consumptive use of biodiversity.

(b) What are the conflicts between man and wildlife? How to minimize them?

[8+7]

5.(a) What are the various sources and effects of noise pollution?

(b) How can man be held responsible for natural calamities such as floods etc.? Discuss with

reference to recent incident at Kedarnath.

[8+7]

6.(a) What is rain water harvesting? What are the main objectives for rain water harvesting?

(b) What are the salient features of Forest Conservation Act?

[8+7]

7.(a) What are the causes for high population growth in India?

(b) With the help of case studies, explain the role of information technology in environment

and human health?

[8+7]

8. Write short notes on the following

(i) Human rights

(ii) Climate change

(iii) Fertilizer-pesticide problem

(iv) Marine Pollution

[4+4+4+3]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|







1.(a) Explain the need of awareness about environmental problems.

(b) What are the various reasons for deforestation? Also discuss the remedial actions?

[8+7]

2.(a) What are the environmental effects of mineral extraction?

(b) Explain the various causes for land degradation. How it can be arrested?

[8+7]

3.(a) Describe food chain and food web with suitable examples.

(b) Explain the structure of Stream ecosystem.

[8+7]

4.(a) What is the contribution of India for global biodiversity?

(b) What are the conflicts between man and wildlife? How to minimize them?

[8+7]

5.(a) Discuss the causes and effects of thermal pollution.

(b) What are the mitigation measures to be taken at the time of Cyclones?

[8+7]

6.(a) What are the issues and problems related to resettlement and rehabilitation of people during

construction of an Irrigation Project?

(b) What are the salient features of Wildlife Protection Act?

[8+7]

7.(a) Explain the role of Family Welfare Programs in the control of population explosion?

(b) What are the causes for rapid spread of HIV in India? Suggest the precautions to be taken

to prevent spread of AIDS.

[8+7]


(i) Conflicts over water

(ii) Wasteland reclamation

(iii) Disaster mitigation

(iv) Value education

[4+4+4+3]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|







1.(a) Explain the multidisciplinary nature of environmental studies.

(b) What are the various reasons for overexploitation of forests? Also discuss the remedial

actions?

[8+7]

2.(a) What are the various reasons for tropical deforestation? Suggest the measures for

controlling deforestation?

(b) Explain the effects of dams on tribal people with special reference to Indira Sagar Project.

[8+7]

3.(a) What is the main structure and function of desert ecosystems?

(b) What do you mean by ecological succession? Describe the stages of succession.

[8+7]

4.(a) What are the various endangered and endemic species of India?

(b) What are some of the factors responsible for India’s rich biological diversity?

[8+7]

5.(a) What are the various causes and effects of marine pollution?

(b) What is radioactive pollution? Discuss the sources of radioactive pollution.

[8+7]

6.(a) What is global warming? What are the effects of global warming?

(b) What are the salient features of Environment Act 1986?

[8+7]

7.(a) What is the role of population growth in environmental degradation?

(b) What is the role of information technology in environmental protection?

[8+7]


(i) Child Welfare

(ii) Rain water harvesting

(iii) Disaster management

(iv) Pesticides problem

[4+4+4+3]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|







1.(a) Explain the interrelated nature of environmental problems.

(b) What are the reasons for depletion of natural resources? Explain strategies for conservation

of natural resources.

[8+7]

2.(a) What are the changes caused due to agriculture and overgrazing?

(b) What are the various causes of soil erosion?

(c) Supply of subsidized cooking gas to rural and tribal areas reduces deforestation, Comment

[6+5+4]

3.(a) What are the various models of energy flow in an ecosystem? Explain them in brief.

(b) What do you understand by nutrient cycling? What is the significance of decomposers in

nature?

[8+7]

4.(a) What are the various threats for biodiversity in India?

(b) State the difference between national park and Sanctuary. What do you understand by

buffer zone and core zone?

[8+7]

5.(a) What are the measures to be taken prevent loss of lives from floods?

(b) What is Indoor air pollution? What are the various causes of indoor air pollution?

[8+7]

6.(a) What are the various substances responsible for ozone depletion in stratosphere? What are

the strategies to be adopted to control ozone depletion?

(b) Discuss critically the objectives and practices of watershed management.

[8+7]

7.(a) What are the various reasons for the continued high rate of population growth in India?

(b) Establish the relation between health and environment with suitable examples.

[8+7]


(i) HIV/AIDS

(ii) Urban solid wastes

(iii) Environmental ethics

(iv) Interstate water disputes

[4+4+4+3]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|



MATHEMATICAL METHODS (Common to ECE, IT, ME, CHEM, BME, ECom.E, PCE, PT & MM Branches)




1.(a) Define the rank of a matrix and find the rank of the following matrix by reducing it to

Echelon form.

−− 1348

13748

3124

5312

(b) Show that the system of equations:3 3 2 1; 2 4; 10 3 2; 2 3 5 is consistent and hence solve it.

[8+7]

2. Verify Cayley – Hamilton theorem for the matrix A =1 2 12 1 22 2 1 and

find A-1

and A4.

[15]

3. Reduce the quadratic form 222 4264 zyzyxzxyx ++−++ to Canonical form and hence find

nature, rank, index and signature.

[15]

4.(a) Find the root of the equation 2 5 by iteration method.

(b) Find the root of the equation log 2 by Newton-Raphson method.

[8+7]

5.(a) Find sin 52 using Newton’s interpolation formula given that sin450 =0.7071, sin50

0=

0.7660, sin550=0.8192 and sin60

0= 0.8660. Estimate the error.

(b) Using Lagrange’s formula, calculate 3 from the table:

[8+7]

Page 1 of 2

0 1 2 4 5 6 1 14 15 5 6 19

Set No - 1

||''''|||''|'''||''|


6.(a) Find and

at x=1.1 from the following data.

(b) A rocket is launched from the ground. Its acceleration measured every 5 seconds is as

tabulated below. Find the velocity and the position of the rocket at t=40 seconds. Use

Trapezoidal rule.

[8+7]

7.(a) Using Taylor’s series method solve ′ !, 0 1 #$ 0.1, 0.2, 0.3.

(b) Solve ′ , 0 2 , & 0.2 find y (0.2), using 4th

order R- K method

[8+7]

8.(a) Obtain a relation of the form: #'( for the following data by the method of least

squares.

(b) Fit a least square parabola of the form ax2 + bx + c to the following data.

[8+7]

Page 2 of 2

) 1 1.2 1.4 1.6 1.8 2 * 2.72 3.32 4.06 4.95 6.05 7.39

+ 0 5 10 15 20 25 30 35 40 ,+ 40 45.25 48.50 51.25 54.35 59.48 61.5 64.3 68.7

0 0.5 1.0 1.5 2.0 2.5 0.10 0.45 2.15 9.15 40.35 180.75

) 0 1 2 3 4 5 6 * 3 3 5 3 15 23 33

Set No - 1

||''''|||''|'''||''|







1.(a) Find the rank of a matrix:

−

−

−

2121

3011

2024

6022

by reducing it to Echelon form.

(b) For what values of k, the equations, 1=++ zyx ;2104 kzyx =++ ; kzyx =++ 42

have a solution? Solve completely for each value of k.

[8+7]

2.(a) State and prove Cayley-Hamilton theorem.

(b) Find the Eigen values and Eigen vectors of A = 0 1 31 0 03 0 0 [8+7]

3. Find the nature, rank, index and signature of the quadratic form

3! 5! +3!-2 2 2 after reducing it to canonical form and specify the

matrix of transformation.

[15]

4.(a) By using bisection method find a square root of 26 correct up to three decimal places.

(b) Using RegulaFalsi method find a real root of f (x) = x3 – 8x – 40 = 0 correct up to three

decimal places using a =4 and b = 5.

[8+7]

5.(a) (i) Evaluate ∆.1 #1 /!1 01 123 (ii) Prove that 4! 1 5

2

(b) Find 1.6 using Newton’s- Backward interpolation formula for the table:

[8+7]

Page 1 of 2

1 1.4 1.8 2.2 3.49 4.82 5.96 6.50

Set No - 2

||''''|||''|'''||''|


6.(a) Find and

from the data near x=2 using Backward Difference Formula.

(b) Evaluate 7 8

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

[8+7]

7.(a) Use Milne Method to find y(0.2) from the differential equation = 0.2 x + 0.1 y

and the starting values are given by

I )9 *9 *9 :)9, *9 :9 0 0 2 0.2

1 0.05 2.0103 0.21103

2 0.10 2.0211 0.22211

3 0.15 2.0323 0.23323

(b) Solve the differential equation = x + y subject to y (0) =1 by Picard’s method and

hence find y (0.2).

[8+7]

8.(a) Fit an exponential curve of the form y(x) = abx to the following data:

(b) Fit a straight line to the data given below:

[8+7]

Page 2 of 2

) 1 1.2 1.4 1.6 1.8 2 * 2.72 3.32 4.06 4.95 6.05 7.39

2 3 4 5 6 144.0 172.8 207.4 248.8 298.5

1 2 3 4 5 10 12 8 10 14

Set No - 2

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1.(a) Reduce to echelon form and hence find the rank of the matrix A =1 2 42 1 38 1 9 5 6 7

(b) Show that the system of equations 2x1 - 2x2 + x3 = λx1; 2x1 - 3x2 + 2x3 = λx2;

-x1 + 2x2 = λx3 possesses a non-trivial solution only if λ = 1 λ = -3 and obtain the general

solution in each case.

[8+7]

2.(a) If λ is an Eigen value of a non-singular matrix A then λ

A is an Eigen value of

the adj(A).

(b) Find the Eigen values and Eigen vectors of the matrix A =

−

−−

−

342

476

268

[8+7]

3. By Lagrange's reduction transform the quadratic from XTAX to sum of squares form for

A =1 2 42 6 24 2 18 . [15]

4.(a) Find a positive root of x3

– x =1 correct to two decimal places by bisection method.

(b) Show that the iteration scheme ф(x) = > > converges and hence find a real root of

f(x) = x3 – 3x +1 =0 near x=3.

[8+7]

Page 1 of 2

Set No - 3

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5. (a) From the following table find the no. of students who obtained marks between 40 and 45

(b) Find the missing term in the following data.

Why this value is not equal to 3. Explain

[8+7]

6.(a) Compute )4.1('f from the following table:

(b) Compute 7 '2 1 by Simpson’s rule with 10 sub intervals.

[8+7]

7.(a) Obtain 0.1 given ′ >8 ,0 1 by Picard’s method.

(b) Find the solution of , 0 1 at 0.1, 0.2, 0.3 using Modified Euler’s

method.

[8+7]

8.(a) The table below gives the temperatures T (in ?) and lengths @ (in mm) of a heated rod.

If @ # #A, find the values of # and # using linear least squares

(b) Fit a power curve baxy = to the following data:

[8+7]

Page 2 of 2

BCDEF 30-40 40-50 50-60 60-70 70-80 GH. H: F+I,JK+F 31 42 51 35 31

x 0 1 2 3 4

y 1 3 9 - 81

1 1.2 1.4 1.6 1.8 2.0 0 0.128 0.544 1.296 2.432 4.0

A 40 50 60 70 80 @ 600.5 600.6 600.8 600.9 601.0

x 1 2 3 4 5

y 7.1 27.8 62.1 110 161

Set No - 3

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1.(a) Find the non-singular matrices P and Q such that PAQ is in the normal form:

where A =

−−

−

−

191141

2415

5123

.

(b) Solve the system of equations, using Gauss – Seidel method, x + y +15z =24;

x + 12y +z = 26; 10x + y - 2z =10.

[8+7]

2.(a) Find the characteristic equation of the matrix A = 2 1 10 1 01 1 2 and hence find the matrix

represented by A8 – 5A

7 +7A

6 – 3A

5 + A

4-5A

3 + 8A

2- 2A +1.

(b) Prove that the sum of the Eigen values of any square matrix A is the trace of A and

the product of the Eigen values of A is the determinant of A

[8+7]

3. Find the transformation which will transform: 4! 3! +!-8 4 6 into a

sum of squares and find the reduced form, rank, index, signature and nature.

[15]

4.(a) Find the root of the equation: log 1.2 by False-position method.

(b) Find the root of the equation:'LMN 1 by Newton-Raphson method.

[8+7]

5.(a) Using Lagrange’s formula, calculate 6 from the table:

(b) Find 1.4 using Newton’s- Backward interpolation formula for the table:

[8+7]

Page 1 of 2

1 2 4 7 8 22 30 82 106 206

1.1 1.3 1.5 1.7 1.9 0.21 0.69 1.25 1.89 2.61

Set No - 4

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6. (a) Find and

from the data near x=1.5 using Striling’s Formula of Central Differences.

(b) Find the area bounded by curve: y = '> O , x-axis between x=0 and x=3 by using

Simpson’s P formula.

[8+7]

7.(a) Apply Runga - Kutta Method to find y(0.1) and y(0.2) where = x

2- y and y(0) =1.

(b) Solve the differential equation = 1+ xy subject to y(0) =1 by Taylor series method

and hence find y(0.2).

[8+7]

8.(a) Derive the normal equations to fit a 2nd

degree curve to the data (xi , yi) ,

i =1, 2,… n by the method of least squares.

(b) Fit an exponential curve of the form y(x) = aebx

to the following data.

[8+7]

Page 2 of 2

) 1 1.2 1.4 1.6 1.8 2 * 2.72 3.32 4.06 4.95 6.05 7.39

1 2 3 4 5 2.6 3.3 4.2 5.4 6.9

Set No - 4

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MATHEMATICS - II (Common to All Branches)




1.(a) Evaluate

∞ using Laplace transforms.

(b) Find L sin 3 [8+7]

2.(a) Find

(b) Solve 0)0()0(,sin 1211===+

−yyteyy

t using Laplace transforms.

[8+7]

3.(a) Find the Fourier series of f(x) = x2 for 0<x<2 .

(b) If "# $ 1 & '( , in 0<x<L, then find the half range Fourier cosine series.

[8+7]

4. Find the Fourier cosine and sine integrals of "# $ *+,-# 0 / # 0 0 # 1 2 . [15]

5.(a) Form the partial differential equation by eliminating the arbitrary function f from

xyz=f(x+y+z).

(b) Solve p tanx + q tany = tan z.

[8+7]

6. A bar of length, laterally insulated, has its ends A and B kept at 0°3 and 100 °C

respectively until steady state conditions prevail. If the temperature at B is suddenly

reduced to 0°3 and kept so, while that of A is maintained at 0°3. Find the temperature

u(x,t) in the bar at any subsequent time.

[15]

7.(a) Find Z(n cosn5. (b) Solve 6 & 26 6 $ 3- 5 using Z transforms.

[8+7]

8.(a) Evaluate 68'#∞ .

(b) Prove that 9:, ; $ 9: 1, ; 9:, ; 1. [8+7]

Page 1 of 1

Set No - 1

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1.(a) Find L <=>? ?@ A .

(b) Find Lsint. [8+7]

2.(a) Find C< using convolution theorem.

(b) Solve 1)0(,0)0(,4107 1311−===+′+

−yyeyyy


[8+7]

3.(a) Find the Fourier series of f(x)= x sin x in (- , . (b) If "# $ 1 & '

( , in 0<x<L, then find half range Fourier sine series.

[8+7]

4. Represent f(x) as an exponential Fourier transform, where

"# $ *+,-# 0 / # 0 0 # 1 2

and deduce that "# $ D EFG'EFGD'

G∞ H

[15]

5.(a) Form the partial differential equation of all spheres whose centers lie on z-axis.

(b) Solve (y2+z

2)p – xyq +xz = 0.

[8+7]

6. Find the displacement of a string stretched between two fixed points at a distance 2c apart ,

when the string is initially at rest in equilibrium position and points of the string are given

initial velocity I $ J'E 0 / # / K

E'E K / # / 2K2, where x is the distance measured from one end.

[15]

7.(a) Find Z(coshn5. (b) Solve 6 & 46 36 $ 5> using Z transforms.

[8+7]

8.(a) Evaluate x √8 & xPQ # .

(b) Prove that 9:, ; $ R!>!R>! .

[8+7]

Page 1 of 1

Set No - 2

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1.(a) Find L " , where " $ *1 0 0 / 2&1 2 0 0 42 and f(t+4) =f(t).

(b) Find L U P . [8+7]

2.(a) Using convolution theorem, find <<V W.

(b) Solve 0)0(,0)0(),2sin( 1211==+=+ yyntayny using Laplace transforms.

[8+7]

3.(a) Find the Fourier series of f(x) = x cos x in (- , . (b) If "# $ sin D'( , in 0<x<L, then find half range Fourier sine series.

[8+7]

4. Find Fourier cosine transform of "# $ eVY for x ] 0, a 1 0 and

evaluate EFG'_G

∞ H.

[15]

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

` $ #a $ a√# 6 b.

(b) Solve (x2 - y

2 -yz)p + (x

2 - y

2 -xz) q = z(x-y).

[8+7]

6. Solve the Laplace equation for u(x,y) satisfying the conditions u(0,y)=0, u(a,y) =0,

u(x,b)=0 and u(x,0) = f(x).

[15]

7.(a) Find Z(6 cd>! . (b) Solve 6 26 6 $ n , with 6 $ 6 $ 0, using Z transforms.

[8+7]

8.(a) Evaluate xQ 1 & xe f # .

(b) Prove that 9:, ; $ ΓRΓ>ΓR> .

[8+7]

Page 1 of 1

Set No - 3

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1.(a) If " $ g h , find L " .

(b) Find LKi+j6 Ki+b . [8+7]

2.(a) Solve 1)0(,0)0(,sin52 1111===++

−yyteyyy


(b) Determine function f(t) for which L[f(t)]= k- lm.

[8+7]

3.(a) Derive the Fourier series of f(x)= D' in (0, 2 .

(b) If "# $ sin D'( , in 0<x<L, then find half range Fourier cosine series.

[8+7]

4. Find Fourier sine transform of "# $ eVY for x ] 0 , a 1 0 and evaluate G G'_G

∞ H.

[15]

5.(a) Form the partial differential equation for the family of all circles with given radius r and

their centers in xy-plane.

(b) Solve yp + x q +pq=0.

[8+7]

6. A string of length L is fastened at both ends A and C. At a distance ‘b’ from A, the string is

transversely displaced to a distance‘d’ and is released from rest when it is in this position.

Find the subsequent displacement of the string.

[15]

7.(a) Find Z(-Ki+-5. (b) Solve 6 46 36 $ 3> , with 6 $ 0, 6n 1 using Z transforms.

[8+7]

8.(a) Evaluate l YYQm

f # .

(b) Prove that Γ $ √π. [8+7]

Page 1 of 1

Set No - 4

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