code no: rt21013 r13 set - 1 ii b. tech i semester regular ... · pdf fileii b. tech i...

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Code No: RT21013

II B. Tech I Semester Regular/Supplementary Examinations, Oct/Nov - 2016

STRENGTH OF MATERIALS - I (Civil Engineering)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any THREE Questions from Part-B

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PART –A

1. a) Explain about Elasticity (3M)

b) Explain the Concept of shear force (4M)

c) What is bending stress (4M)

d) Draw Shear stress distribution for circular section (4M)

e) Define Mohr’s theorem (4M)

f) What is Thin cylinder? (3M)

PART -B

2. A hollow cylinder 2 m long has an outside diameter of 50 mm and inside

diameter of 30 mm. If the cylinder is carrying a load of 25 kN, find the stress in

the cylinder. Also find the deformation of the cylinder, if the value of modulus of

elasticity for the cylinder material is 100 GPa.

(16M)

3. a) Define the following :

i) Bending Moment.

ii) Shear force.

iii) Point of contraflexure.

(6M)

b) A cantilever beam of length 2m carries an uniformly distributed load of 3KN/m

over a length of1.5m from its fixed end and a point load 5 KN at its free end.

Draw the shear force and bending moment diagrams.

(10M)

4. Obtain the shear stress distribution for a rectangular cross section 230X40mm

subjected to a shear force of 40KN. Calculate the maximum and average shear

stress.

(16M)

5. a) What is moment area method? Explain the two Mohr's theorems, as applicable to

the slope and deflection of a beam.

(8M)

b) A cantilever of uniform cross-section of length l carries two point loads, W at the

free end and 2W at a distance a from the free end. Find the maximum deflection

due to this loading.

(8M)

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Code No: RT21013

6. a) Derive an expression for the defection of a simply supported beam subjected to

uniformly distributed load using integration method.

(8M)

b) A rectangular R.C simply supported beam of length 2m and cross section

100mmX200mm is carrying a uniformly distributed load of 10KN/m through its

span. Find the maximum slope and deflection. Take F = 2 x 104N/mm

2

(8M)

7. A thin cylinder 75 mm internal diameter, 250 mm long with walls 2.5 mm thick

is subjected to an internal pressure of 7 MN/m2. Determine the change in internal

diameter and the change in length. If, in addition to the internal pressure, the

cylinder is subjected to a torque of 200 N m, find the magnitude and nature of the

principal stresses set up in the cylinder. E = 200 GN/m2. v = 0.3

(16M)

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PART –A 1. a) Define Resilience (3M)

b) What is Point of contraflexure (4M)

c) Write section modulus of circular sections (4M)

d) Explain about shear centre. (4M)

e) Write the formula of slope for cantilever beam subjected to UDL? (4M)

f) Define Thick cylinder? (3M)

PART -B

2. An aluminum bar 60mm diameter when subjected to an axial tensile load

100KN elongates 0.20mm in a gauge length 300mm and the diameter is

decreased by 0.012mm. Calculate the Modulus of elasticity and the poison’s

ratio of the material.

(16M)

3. A simply supported beam 6 m long is carrying a uniformly distributed load of

5 kN/m over a length of 3 m from the right end. Draw shear force and bending

moment diagrams for the beam and also calculate the maximum bending

moment on the beam.

(16M)

4. a) Prove that for a rectangular section the maximum shear stress is 1.5times the

average stress. Sketch the variation of shear stress.

(8M)

b) A timber beam 120m wide and 185mm deep supports a u.d.l of intensity w

KN/m length over a span of 2.7m. If the safe stresses are 29Mpa in bending and

3Mpa in shear, calculate the safe intensity of the load which can be supported by

the beam.

(8M)

5. a) What is moment area method? Explain the two Mohr's theorems, as applicable

to the slope and deflection of a beam.

(8M)

b) A cantilever of uniform cross-section of length l carries two point loads, W at

the free end and 2W at a distance a from the free end. Find the maximum

deflection due to this loading.

(8M)

6. Compare the values of maximum and minimum hoop stresses for a cast steel

cylindrical shell of 600mm external diameter and 400mm internal diameter

subjected to a pressure of 30N/mm2 applied internally and externally

(16M)

7. Derive the formula for the thickness of the thin cylindrical shell and solve the

following problem. A thin cylindrical shell of 1 m diameter is subjected to an

internal pressure of 1 N/mm2. Calculate the suitable thickness of the shell, if the

tensile strength of the plate is 400 N/mm2

and factor of safety is 4

(16M)

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PART –A

1. a) What is Hooke’s law (3M)

b) Explain the Concept of bending moment (3M)

c) Write section modulus of circular sections (4M)

d) Draw Shear stress distribution for rectangular section (4M)

e) Define Volumetric strains (4M)

f) Write the formula of slope for Simply supported beam subjected to UDL? (4M)

PART -B

2. a) Derive relation between three elastic moduli. (8M)

b) Draw stress - strain diagram for mild steel. Indicate salient points and define

them.

(8M)

3. a) Device the relations among loading, shear force and bending moment in a beam. (8M)

b) A cantilever beam AB span 6m is subjected to a uniformly varying load of 8

kN/m intensity at the fixed end A and zero at the free end B. draw SFD and

BMD.

(8M)

4. Two wooden planks 150mm x 50mm each are connected to form a T- section of

a beam. If a moment of 3.4KN-m is applied around the horizontal neutral axis,

inducing tension below the neutral axis, find the stresses at extreme fibres of the

cross-section. Also calculate the total tensile force on the cross-section.

(16M)

5. a) Prove that for a rectangular section the maximum shear stress is 1.5times the

average stress. Sketch the variation of shear stress

(8M)

b) A rolled steel joist of I section has top flange 90 mm × 20 mm bottom flange

170 mm × 20 mm and web of size 220 mm × 20 mm. It is used as a simply

supported beam over a span of 5m to carry a u.d.l. of 65kN/m over its entire

span. Obtain the shear stress values at salient points and sketch the variation of

shear stress.

(8M)

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Code No: RT21013

6. A simply supported beam of span 3 m is subjected to a central load of

10 kN. Find the maximum slope and deflection of the beam. Take

I = 12 (10)6 mm

4 and E = 200 GPa.

(16M)

7. a) Derive the equations for the circumferential and longitudinal stresses in a thin

cylindrical shell.

(8M)

b) A thin cylinder of 300mm internal diameter, 3 m long and made from 3 mm

thick metal, has its ends blanked off. Working from first principles, except that

you may use the equations derived above, find the change in capacity of this

cylinder when an internal fluid pressure of 20 bar is applied. E =200GN/m2;

v = 0.3.

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(8M)

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PART –A

1. a) Define Factor of safety (3M)

b) What are the different types of beams (3M)

c) Write section modulus of rectangular sections (4M)

d) Draw Shear stress distribution for Triangular section (4M)

e) What is Hoop stress (4M)

f) Write the formula of deflection for Simply supported beam subjected to UDL? (4M)

PART -B

2. a) An aluminium bar 60mm diameter when subjected to an axial tensile load 100KN

elongates 0.20mm in a guage length 300mm and the diameter is decreased by

0.012mm. Calculate the modulus of elasticity and the poisson's ratio of the

material.

(8M)

b) Explain about composite bars and Temperature stresses.

(8M)

3. a) Circular beam of 120mm diameter is subjected to a shear force of 7KN. Calculate

i) Average shear stress. ii) Maximum shear stress.

Also sketch the variation of the shear stress along the depth of the beam.

(8M)

b) From first principles derive the expression for shear stress at any point in any

cross-section of a beam which is subjected to a shear force F.

(8M)

4. a) A cantilever of length 2.8 m fails when a load of 4.7 kN is applied at the free end.

If the section of the beam is 65 × 105 mm find the stress at failure.

(8M)

b) A T-beam having flange 210× 20 mm and web 250 × 2o mm is simply supported

over a span of 5 m. It carries a u.d.l of 8.8kN/m over its entire span. Calculate the

maximum compressive and tensile stress occurring in the section. What is the

magnitude of flexural stress at the junction of flange and web? Draw the variation

of stress across the section.

(8M)

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5. A beam of 6m length simply supported at ends A & B is loaded with two point

loads of 60 KN and 50 KN at distance 1m and 3m respectively from end A.

Determine the deflection under each load and the position and magnitude of

maximum deflection in the beam. take E = 2×105N=mm2 and I = 8500×104cm

4.

(16M)

6. Derive a formula for the difference of radii for shrinkage of a compound thick

cylindrical shell

(16M)

7. a) Explain why `wire wound their cylinders' are more efficient than `ordinary thin

cylinders'.

(8M)

b) A seamless pipe of 1m diameter is carrying a fluid under a pressure of 10

N/mm2. Calculate the necessary thickness of the pipe, if the maximum allowable

stress in the pipe material is 100N/mm2.

(8M)

*****

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Code No: RT21015


SURVEYING (Civil Engineering)





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PART –A

1. a) Explain the principle on which chain survey is based. (3M)

b) Distinguish clearly between chain surveying and traverse surveying. (4M)

c) Define contour and contour intervals. (4M)

d) Define swinging the telescope and transiting the telescope. (4M)

e) Write about GPS. (3M)

f) How do you determine the capacity of a reservoir? (4M)

PART -B

2. a) Discuss in brief the different sources of errors in surveying. (8M)

b) Describe briefly the use of various accessories of a plane table.

(8M)

3. a) The following lengths and bearings were recorded in running a theodolite

traverse in the counter clockwise direction, the length of CD and bearing of DE

having been omitted.

Line Length in m R.B

AB 281.4 S 690 11’ E

BC 129.4 N 210 49’ E

CD ? N 190 34’ W

DE 144.5 ?

EA 168.7 S 740 24’ W

Determine the length of CD and the bearing of DE.

(10M)

b) What is local attraction? How is it detected and eliminated?

(6M)

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4. a) What are the different errors in theodolite work? How are they eliminated? (10M)

b) Explain how a subtense bar is used with a Theodolite to determine the horizontal

distance between two points.

(6M)

5. Write about parts of the Transit Theodolite. Explain in detail.

(16M)

6. a) What is Simpson’s rule? Derive an expression for it. (8M)

b) Calculate the volume of earth work by Prismoidal formula in a road embankment

with the following data:

Chainage along the centre line 0 100 200 300 400

Ground levels 201.70 202.90 202.40 204.70 206.90

Formation level at chainage 0 is 202.30 top width is 2.00 ft side slopes are 2 to 1.

The longitudinal gradient of the embankment is 1 in 100 rising. The ground is

assumed to be level all across the longitudinal section.

(8M)

7. a) A railway embankment 400 m long is 12 m wide at the formation level and has

the side slope 2 to 1. The ground levels at every 100 m along the centre line are

as under:

Distance 0 100 200 300 400

R. L. 204.8 206.2 207.5 207.2 208.3

The formation level at zero chainage is 207.00 and the embankment has a rising

gradient of 1 in 100. The ground is level across the centre line. Calculate the

volume of earthwork.

(8M)

b) Derive TRAPEZOIDAL FORMULA (Average end area Method). (8M)

*****

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PART –A

1. a) Discuss in brief the principles of surveying. (3M)

b) Define the true bearing and magnetic bearing. (4M)

c) Define the following terms Benchmark, Parallax. (4M)

d) What are ‘face left’ and ‘face right’ observations? Why is it necessary to take

both face observations?

(4M)

e) Write about total stations. (4M)

f) What is a Prismoid? (3M)

PART -B

2. a) What is back bearing and what are the advantages of observing it in a traverse? (8M)

b) For the following traverse, find the length of DE so the A, E and F may be in

the same straight line:

Line Length in meters R. B.

AB 200 S 840 30’ E

BC 100 N 750 18’ E

CD 80 N 180 45’ E

DE - N 290 45’ E

EF 150 N 640 10’ E

(8M)

3. Describe the ‘height of instrument’ and ‘rise and fall’ methods of computing

the levels. Discuss the merits and demerits of each.

(16M)

4. Explain how you would measure with a Theodolite (16M)

a) The horizontal angle by repetition.

b) The Vertical angle.

c) The Magnetic bearing of line.

5. Explain the temporary adjustments of a transit theodolite (16M)

6. The tangents to a railway meet at an angle of 1480. Owing to the position of a

building, a curve is to be chosen that will pass near point 10 metres from the

point of intersection of the tangents on the bisector of the angle 1480. Calculate

the suitable radius of the curve.

(16M)

7. Derive an expression for trapezoidal formula for volume. Compare it with the

prismoidal formula.

*****

(16M)

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Code No: RT21015







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PART –A

1. a) Differentiate clearly between plane and geodetic surveying. (3M)

b) What is local attraction? How is it detected and eliminated? (4M)

c) Define the following terms: Line of collimation, Level surface. (4M)

d) What are the different errors in theodolite work? (4M)

e) Mention different types of curves with figures. (3M)

f) How do you determine the earth work for a borrow pit? (4M)

PART -B

2. a) Give, in a tabular form, the difference between prismatic compass and

surveyor’s compass.

(6M)

b) From a point C, it is required to set out a line CD parallel to a given line AB,

such that ABD is a right angle. C and D are not visible from A and B, and

traversing is performed as follows:

Line Length in m Bearing

BA - 3600 0’

BE 51.7 2900 57’

EF 61.4 3520 6’

FC 39.3 2630 57’

Compute the required length and bearing of CD.

(10M)

3. What are the different types of leveling staff? State the merits and demerits of

each.

(16M)

4. a) Describe the conditions under which tacheometric surveying is advantageous.

Explain how you would obtain in the field the constants of a techeometer

(10M)

b) Two distances of 50 and 80 metres were accurately measured out, and the

intercepts on the staff between the outer stadia webs were 0.496 at the former

distance and 0.796 at the latter. Calculate the techeometric constants.

(6M)

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5. What are the different errors in survey measurements? Describe the method most

commonly used in chain surveying.

(16M)

6. What are the common difficulties in setting out simple curves? Describe briefly

the methods employed in overcoming them.

(16M)

7. Calculate the volume of earth work by Prismoidal formula in a road

embankment with the following data:

Chainage along the centre

line

0 100 200 300 400

Ground levels 201.70 202.90 202.40 204.70 206.90

Formation level at chainage 0 is 202.30, top width is 2.00 ft side slopes are 2 to

1. The longitudinal gradient of the embankment is 1 in 100 rising. The ground

is assumed to be level all across the longitudinal section.

(16M)

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PART –A

1. a) Distinguish clearly between cumulative and compensating errors. (3M)

b) Distinguish clearly between closed traverse and open traverse. (4M)

c) Define the following terms vertical line, bubble line. (4M)

d) State what errors are eliminated by repetition method. (3M)

e) Write about geodetic survey. (4M)

f) Explain about Embankment with sketch (4M)

PART -B

2. a) Determine the values of included angles in the closed compass traverse ABCD

conducted in the clockwise direction, given the following fore bearings of their

respective lines:

Line F.B.

AB 400

BC 700

CD 2100

DA 2800

Apply the check.

(8M)

b) What is error of closure? How is it balanced graphically?

(8M)

3. Describe with the help of sketches the characteristics of contours.

(16M)

4. a) What are the different accessories of plane table survey? (8M)

b) Differentiate between prismatic compass and surveyors compass.

(8M)

5. Explain how you would determine the constants of a tachometer. What are the

advantages of an analytical lens used in a tachometer?

(16M)

6. The chainage at the point of intersection of the tangents to a railway curve is

3876 links, and the angle between them is 1240. Find the chainage at the

beginning and end of the curve if it is 40 chains radius, and calculate the angles

which are required in order to set out this curve with a chain tape only.

(16M)

7. A series of offsets were taken from a chain line to a curved boundary line at

intervals of 15 metres in the following order. 0, 2.65, 3.80, 3.75, 4.65, 3.60, 4.95,

5.85 m. Compute the area between the chain line, the curved boundary and the

end offsets by a) average ordinate rule,

b) trapezoidal rule, and

c) Simpson’s rule.

(16M)

*****

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Code No: RT21014


BUILDING MATERIALS AND CONSTRUCTION (Civil Engineering)





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PART –A

1. a) What are rock forming minerals? (3M)

b) Explain the cornice and corbel in stone masonry work with sketches (4M)

c) What are the ingredients of cement? (3M)

d) List out how stairs are classified? (4M)

e) Explain water proofing of a building and what materials are used? (4M)

f) What are the properties of good coarse aggregate? (4M)

PART –B

2. a) Describe in detail how lime is manufactured? (8M)

b) Distinguish between quick, fat and hydraulic lime.

(8M)

3. a) What do you understand by natural seasoning of wood? What is its purpose? (8M)

b) What is the function, use of form work and scaffolding in building construction?

(8M)

4. a) Draw neat sketch of (i) king post truss (ii) rcc roof and explain them. (8M)

b) Explain the precautions in blasting of rocks.

(8M)

5. a) Define a lintel and mention the materials which are commonly used in their

construction.

(8M)

b) What is a prefabricated roof? Explain their use in building construction.

(8M)

6. a) What are the various ingredients of paint? Explain the function of each of them. (8M)

b) Explain the bond strength of aggregate.

(8M)

7. Write detailed notes on fiber reinforced concrete and polymer concrete. (16M)

*****

R13 SET - 1

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Code No: RT21014







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PART –A

1. a) Give a list of tools used for stone quarrying. (3M)

b) Explain seasoning of timber (4M)

c) What do you understand by hydration of cement? (4M)

d) Define Intrados and soffit with reference to arches. (4M)

e) What is the process of preventing moisture in building called? Explain. (3M)

f) Draw the sketch of Madras terrace roof. (4M)

PART –B

2. a) Describe with neat sketch a brick manufacturing kiln. (10M)

b) What is a FROG? Explain its importance in bricks.

(6M)

3. Discuss the construction of cavity wall and partition wall in buildings and explain

why and where they are adopted.

(16M)

4. a) Explain crushing test and impact test of concrete. (6M)

b) Explain the various types of tiles and their use for buildings.

(10M)

5. a) Draw the sketch of a RCC lintel and weather shade with all details. (6M)

b) Explain the classification of Arches Give a complete list of various types of

arches.

(10M)

6. a) How do you classify various types of paints. Explain in detail each type. (6M)

b) Discuss about bulk density and porosity of aggregate.

(10M)

7. Describe the various types of expansion joints, construction joints and their use in

construction.

(16M)

*****

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PART –A

1. a) List out the characteristics of a good tile. (4M)

b) Explain decay of timber. (4M)

c) What are the various uses of lime. (3M)

d) What is a vault? Explain with sketches. (4M)

e) Indicate the type of paints used for old wood work and new iron work. (4M)

f) Prepare a list of various tests for concrete.

(3M)

PART –B

2. a) Discuss the three important types of rocks and their formation. (8M)

b) Explain the constituents of lime stone.

(8M)

3. a) Describe Ashlar stone masonry and state its use in construction of structures. (8M)

b) Draw the cross section of a tree and explain the structure of timber.

(8M)

4. a) Discuss about alternative materials for wood. (10M)

b) Explain bulking of sand.

(6M)

5. a) Explain the following items in case of staircases

(i) Balustrade (ii) Handrail

(iii) soffit and (iv) pitch

(8M)

b) Explain coupled roof with sketch.

(8M)

6. a) Explain pointing and plastering (8M)

b) Describe the various components of a building.

(8M)

7. Write short notes on

(a) Properties of good building stone.

(b) Consistency and workability

(c) Tar and bitumen as building material

(d) Sieve analysis

(16M)

*****

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Code No: RT21014







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PART –A

1. a) Why is it important to study the properties of building materials. (4M)

b) Give the list of tools required for stone masonry. (3M)

c) What is the chemical composition of Portland cement? (4M)

d) List out the various types of lintel used in the construction of buildings. (4M)

e) Define paint, varnish and distemper. (3M)

f) Draw the sketch of prefabricated roof. (4M)

PART –B

2. a) Discuss the use of non-ferrous materials in building construction. (10M+6M)

b) Enumerate the principal reasons for decaying timber.

3. a) Explain English bond and Flemish bond with neat sketches. (10M+6M)

b) Explain various types of cement and their properties

4. a) Explain pitched roof, flat roof and lean to roof. (10M+6M)

b) What is damp proofing? Discuss the materials used.

5. a) Give a list of various types of floors and explain about any two. (8M+8M)

b) Describe the materials required for preparing form work and scaffolding.

6. a) Explain white washing and colour washing. (8M+8M)

b) What are the good qualities of sand for general use in buildings?

7. Write short notes on

(a) Geo synthetics

(b) Geo textiles

(c) Geo grids and

(d) Geo membranes (16M)

*****

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Code No: RT21011


BASIC ELECTRICAL AND ELECTRONICS ENGINEERING (Com. to CE, ME, CHEM, AME, MM, PE, PCE)





~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define network with an example (3M)

b) What are the applications of the DC series motor? (4M)

c) Define mutual flux? Explain its significance (4M)

d) What is the principle of alternator? (4M)

e) Draw the diagram of operational amplifier and indicate different parts (4M)

f) What are the terminals of transistor? Explain (3M)

PART –B

2. a) State and explain the Kirchhoff’s laws as applied to electrical circuits. (8M)

b) Find the current ‘i’ in the circuit shown in the figure below

(8M)

3. a) What is the importance of NVL and OLC in starter (8M)

b) Determine developed torque and shaft torque of 220V, 4-pole DC series motor with

800 conductors wave connected supplying a load of 10 kW by taking 50A from the

mains. The flux per pole is 20 mWb and its armature circuit resistance is 0.8 Ω

(8M)

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4. a) What is the working principle of a single phase transformer? Explain with the help

of neat sketch

(8M)

b) A single phase, ideal transformer of voltage rating 100 V/300 V, 50 Hz produces a

flux density of 1.8 T when its LV side is energized from a 100 V, 50 Hz source.

Find the flux density produced in the core, if the LV side is energized from a 25 V,

20 Hz supply

(8M)

5. a) Explain the construction of an alternator with the help of a neat sketch (8M)

b) Describe the Torque- Slip characteristics of 3-phase induction motor

(8M)

6. a) Explain in detail about the Characteristics of operational amplifiers (8M)

b) A resistive load of 50 Ω is supplied from a sinusoidal supply of 100V, 50 Hz

through a single phase half wave diode rectifier. Given the voltage drop across the

diode as 0.7 V when it conducts. Find the angles at which diode starts conducting

and at which stops conducting?

(8M)

7. a) Explain in detail about the applications of transistors (8M)

b) Draw and explain the frequency response of CE amplifier

*****

(8M)

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PART –A

1. a) Define Ohm’s law with an example (4M)

b) Define Faraday’s law of electromagnetic magnetic induction (3M)

c) What is meant by Hysterisis loss? How to limit it? (4M)

d) What is the principle of three phase induction motors (4M)

e) What is a rectifier? List its applications? (4M)

f) Define feedback. What its purpose (3M)

PART –B

2. a) What is resistance and what are the factors affecting it. (6M)

b) Find the voltage ‘V’ in the circuit shown in the figure below

(10M)

3. a) With the help of circuit diagram, explain the Swinburn’s Test (8M)

b) Calculate the generated emf of a 4-pole, wave-wound armature having 38 slots

with 18 conductors per slot when drive at 1000rpm. The flux per pole is 0.018wb.

(8M)

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Code No: RT21011

4. a) Describe the different losses in a single phase transformer. (8M)

b) A 10 KVA, 1000/100V, single phase transformer has full load copper loss of

90W. The maximum possible voltage drop in the transformer secondary is 5V.

Calculate the voltage regulation of the transformer for rated KVA output at 0.8

lagging power factor

(8M)

5. Describe how you can determine the regulation of alternator using synchronous

impedance method.

(16M)

6. a) Explain in detail about the applications of operational amplifiers (8M)

b) A resistive load of 60 Ω is supplied from a sinusoidal supply of 120V, 50 Hz

through a single phase half wave diode rectifier. Given the voltage drop across

the diode as 0.7 V when it conducts. Find the average value of load voltage and

the peak inverse voltage of diode

(8M)

7. a) Explain how transistor works as an amplifier (8M)

b) Describe the concept of feedback amplifiers with necessary diagram (8M)

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define Kirchoff’s current law (KCL) with an example (4M)

b) Draw the circuit diagram of a DC shunt motor and identify all parts (3M)

c) What is meant by eddy current loss? How to limit it? (4M)

d) Define synchronous speed and what it is significance (3M)

e) Draw the inverting configuration of an Operational amplifier and explain (4M)

f) What is the function of an amplifier? Explain (4M)

PART –B

2. a) Two resistors 4 Ω and 6 Ω are connected in parallel. If the current supplied by

source is 30 A. Find the equivalent resistance and current through each branch.

(8M)

b) A 35 V d.c supply is connected across a resistance of 600 Ω in series with an

unknown resistance R. A voltmeter having a resistance 1200 Ω is connected across

600 Ω and shows a reading of 5V. Calculate the value of resistance R.

(8M)

3. a) What is the operating principle of a DC motor? Explain in detail (8M)

b) A long shunt compound generator delivers a load current of 30A at 400V and has

armature, series field and shunt field resistances of 0.04Ω, 0.02Ω and 180Ω

respectively. Calculate the generated voltage and the armature current. Allow 1V

per brush for contact drop

(8M)

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4. a) What are the causes for power losses in single phase transformer? Explain (8M)

b) A 4 KVA, 200/100 V single phase transformer has 1% equivalent resistance and

4% equivalent reactance. Determine the resistance and reactance referred to both

LV and HV sides

(8M)

5. a) What are the different ways to calculate the voltage regulation of alternators?

Explain any one method.

(8M)

b) Draw the slip-torque characteristics of three phase induction motor? Explain

different modes of operation

(8M)

6. a) Draw the circuit diagram of an integrator with the help of operational amplifiers

and explain the operation

(8M)

b) A bridge rectifier uses four identical diodes of forward resistance of 0.5Ω each. It is

supplied from transformer with output of 12V (rms) and secondary winding

resistance of 2Ω. Calculate the output DC voltage at a DC load current of 40 mA

and 50 mA respectively

(8M)

7. a) Draw the physical structure of a NPN transistor and explain the operation (8M)

b) Explain the amplifier mode of operation of a transistor in detail

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(8M)

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define Kirchoff’s voltage law (KVL) with an example (4M)

b) What is meant by back EMF? (3M)

c) Explain how the specifications of transformer are rated? (4M)

d) Define slip and write its expression (4M)

e) Define cut in voltage. What is its significance? (4M)

f) Describe a transistor. (3M)

PART –B

2. a) Three resistors of 8 Ω, 6 Ω, and 4 Ω are connected in a series across 100 V supply.

Determine what equivalent resistance current and voltage across each element

(8M)

b) Determine current ‘I’ as shown in the figure below

(8M)

3. a) Draw and explain a circuit diagram to perform a test for determining constant loss

of DC machine

(8M)

b) A 4-pole, 220V shunt motor has 540 lap wound conductor. It takes 32A from the

supply mains and develops output power of 6 kW. The field winding takes 1A.

The armature resistance is 0.08Ω and the flux per pole is 25 mWb. Calculate the

speed and torque developed.

(8M)

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4. a) What is meant by voltage regulation? Derive the expression in a single phase

transformer

(8M)

b) A 5 KVA, 300V/100V, 50 Hz single phase transformer has the full load copper

loss of 90W and core loss 40 W. At what KVA and load power factor the

transformer should be operated for maximum efficiency?

(8M)

5. a) With the help of neat sketch, explain the principle of operation of alternators (8M)

b) Derive the expression for the efficiency of three phase induction motor

(8M)

6. a) Draw the circuit diagram of a differentiator with the help of operational amplifiers

and explain the operation

(8M)

b) A half wave rectifier uses one diode of forward resistance of 0.8Ω. It is supplied

from transformer with output of 20V (rms) and secondary winding resistance of

3Ω. Calculate output DC voltage at a DC load current of 40 mA and also calculate

the peak inverse voltage (PIV) of diode

(8M)

7. a) Draw the physical structure of a PNP transistor and explain the operation (8M)

b) Draw the circuit diagram of a single stage CE amplifier and explain the operation (8M)

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Code No: RT21016


FLUID MECHANICS (Civil Engineering)





~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Explain the effect of temperature on viscosity. (4M)

b) Define and distinguish between (i) Steady and unsteady flow

(ii) Rotational and irrotational flow.

(4M)

c) State the assumptions made while deriving equation for Euler’s equation. (3M)

d) What is magnus effect? Explain. (4M)

e) Sketch the velocity distribution and shear stress distribution for a laminar flow

between parallel plates when one plate moving and other at rest.

(4M)

f) What is a pitot tube? Explain its working with a sketch. (3M)

PART -B

2. a) If the equation of a velocity profile over a plate is v = 2y2/3

; in which v is the

velocity in m/s at a distance of y meters above the plate. Determine the shear

stress at y = 0, y = 0.05 and y = 0.075 m. Given dynamic viscosity as 0.85 N.s/m2.

(8M)

b) State and prove Pascal’s law.

(8M)

3. a) An annular plate 3 m external diameter and 1.5 m internal diameter is immersed

in water with its greatest and lowest depths below water surface as 4 m and 1.2

m respectively. Determine the total pressure and the position of the center of

pressure on one face of the plate.

(8M)

b) Derive the expression for 3 Dimensional continuity equation.

(8M)

4. a) A bend in pipeline conveying water gradually reduces from 0.6 m to 0.3 m

diameter and deflects the flow through angle of 600. At the larger end the gauge

pressure is 171.675 kN/m2. Determine the magnitude and direction of the force

exerted on the bend when there is no flow.

(10M)

b) Explain the importance and application of Navier – Stokes equation.

(6M)

5. a) What is a boundary layer? Explain its formation along a long thin plate with neat

sketch.

(6M)

b) Examine whether or not the following velocity profiles satisfy the essential

boundary conditions for velocity distribution in the laminar boundary layer

on a flat plate:

i) u/U = 1 + (y/ δ) – 3 (y/ δ)2

ii) u/U = sin(πy/2δ) where U is the free stream velocity.

(10M)

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6. a) Using Hagen-Poiseuille equation derive an expression for the head loss in a pipe

of diameter D and length L in terms of Reynolds number and velocity head.

(8M)

b) A flow of 420 liters/min of oil (specific gravity = 0.91 and viscosity = 1.24 poise) is

pumped through a pipeline 75 mm diameter having a length of 62 m and whose

outlet is 3 m higher than its inlet. Estimate the power required for the pump if its

efficiency is 60 %.

(8M)

7. a) A rectangular channel 6 m wide carries 2800 liters per second at a depth of 0.9 m.

What height of a broad crested rectangular weir must be installed to double the

depth? Assume a weir coefficient of 0.86.

(10M)

b) What is the necessity of ventilation of weirs? Explain. (6M)

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Explain the importance of Pascal’s law. (3M)

b) Define and distinguish between stream line, path line and streak line. (4M)

c) Explain the importance of momentum correction factor. (4M)

d) Briefly explain the flow around submerged objects. (4M)

e) Sketch the velocity distribution and shear stress distribution for a laminar flow

between parallel plates when both plates at rest. (4M)

f) A rectangular weir is 3 m long and has a head of 0.75 m. Find the discharge taking

into account two end contractions. (3M)

PART -B

2. a) Calculate the capillary rise in a glass tube of 3 mm diameter when immersed in

(i) Water, (ii) Mercury. Both the liquids being at 30 0C and the values of the

surface tension for water and mercury at 30 0C in contact with air are respectively

0.0075 kgf/m and 0.052 kgf/m.

(8M)

b) Derive the expression for pressure difference in case of inverted U-tube

manometer with neat sketch.

(8M)

3. a) A square disc of side 1 m is immersed vertically in water so that an edge of the

square makes an angle of 350 with the horizontal. If the highest corner of the disc

is at a depth of 1.5 m below the free surface, find the total pressure on one face

of the disc and the depth of centre of pressure.

(12M)

b) Classify and briefly explain different types of flow.

(4M)

4. a) A bend in pipeline conveying water gradually reduces from 0.5 m to 0.2 m

diameter and deflects the flow through angle of 600. At the larger end the gauge

pressure is 171.675 kN/m2. Determine the magnitude and direction of the force

exerted on the bend when the flow is 876 litres/s.

(12M)

b) State the assumptions made while deriving equation for Bernoulli’s equation. (4M)

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5. a) Explain the characteristics of a boundary layer. (4M)

b) A plate 25 m long × 1.25 m wide is moving under water in the direction of its

length. The drag force on the two sides of the plate is estimated to be 8500 N.

Calculate: i) The velocity of the plate, ii) The boundary layer thickness at the

trailing edges of the plate and iii) The distance xc at which the laminar

boundary layer existing at the leading edge transforms into turbulent boundary

layer. Take for water: ρ = 1000 kg/m3; ν = 1 × 10

−6 m

2/s.

(12M)

6. A pipe of diameter 20 cm and length 2000 m connects two reservoirs, having

difference of water levels as 20 m. Determine the discharge through the pipe. If

an additional pipe of diameter 20 cm and length 1200 m is attached to the last

1200 m length of the existing pipe, find the increase in the discharge. Take f =

0.015 and neglect minor losses.

(16M)

7. a) Explain broad crested weir with (i) Sharp corner at upstream end and

(ii) Round corner at upstream end with sketch.

(6M)

b) A venturimeter has its axis vertical, the inlet and throat diameters being 150 mm

and 75 mm respectively. The throat is 225 mm above inlet and k = 0.96, petrol of

specific gravity 0.78 flows up through the meter at a rate of 0.029 m3/s. Find the

pressure difference between the inlet and the throat.

(10M)

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What is guage pressure and vaccum pressure? (3M)

b) What is meant by 1D, 2D and 3D flows? Explain. (3M)

c) Explain the importance of kinetic energy correction factor. (4M)

d) Differentiate between laminar and turbulent boundary layers with a neat sketch. (4M)

e) Explain total energy line and hydraulic gradient line with sketch. (4M)

f) Explain the flow over triangular notch with a neat sketch. (4M)

PART -B

2. a) Calculate the capillary effect in mm in a glass tube 2 mm in diameter when

immersed in (i) Water, (ii) Mercury. Both the liquids being at 20 0C and the values

of the surface tension for water and mercury at 20 0C in contact with air are

respectively 0.0736 N/m and 0.51 N/m. Contact angle for water = 00 and for

mercury 1300.

(8M)

b) Derive the expression for pressure difference in case of differential U-tube

manometer with neat sketch.

(8M)

3. a) Derive the expression for total pressure on inclined plane surface. (10M)

b) A stream function in a two-dimensional flow is equal to 2xy. Show that the flow is

irrotational and determine the corresponding velocity potential.

(6M)

4. a) Water flows through a 0.9 m diameter pipe at the end of which there is a reducer

connecting to a 0.6 m diameter pipe. If the gage pressure at the entrance to the

reducer is 412.02 kN/m2 and the velocity is 2 m/s, determine the resultant thrust

on the reducer, assuming that the frictional loss of head in the reducer is 1.5 m.

(12M)

b) Briefly explain the applications of momentum equation.

(4M)

5. a) Explain the separation of boundary layer and its preventive methods. (8M)

b) A thin flat plate 0.3 m wide and 0.6 m long is suspended and exposed parallel to

air flowing with a velocity of 3 m/sec. Calculate drag force on both sides of the

plate when the 0.3 m edge is oriented parallel to free stream. Consider flow to be

laminar and assume for air kinematic viscosity is 0.18 stokes and density is 1.2

kg/m3.

(8M)

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6. a) Determine the difference in the elevations between the water surfaces in the two

tanks which are connected by horizontal pipe of diameter 300 mm and length

400 m. The rate of flow of water through the pipe is 300 liters/s. Consider all

losses and take the value of f = 0.008.

(8M)

b) Derive an expression for mean velocity for laminar flow

(i) through a pipe; (ii) between parallel plates.

(8M)

7. a) Discuss the advantages of triangular weir over rectangular weir. (6M)

b) A 150 mm x 75 mm Venturimeter with Cd = 0.98 is to be replaced by an orifice

meter having a value of Cd = 0.6. If both the meters are to give the same

differential mercury manometer reading for a discharge of 100 lps and the inlet

dia. to remain 150 mm, what should be the diameter of orifice?

(10M)

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Explain the terms surface tension and vapour pressure. (3M)

b) Describe the use and limitation of flow nets. (3M)

c) What are the different energies of a fluid? Explain each of them. (4M)

d) Explain the importance of Vonkarmen momentum integral equation. (4M)

e) What do you understand from Moody’s Chart? Explain. (4M)

f) What is an orifice? Give its classification. (4M)

PART -B

2. a) Derive the expression for capillary rise and fall with neat sketch. (8M)

b) Derive the expression for pressure difference in case of micro manometer with

neat sketch.

(8M)

3. a) If the expression for the stream function is given by x3 – 3xy

2, indicate whether

the flow is rotational or irrotational. If the flow is irrotational determine the value

of the velocity potential. (8M)

b) A circular plate 3 m diameter is immersed in water with its greatest and lowest

depths below water surface as 3 m and 1 m respectively. Determine the total

pressure and the position of the center of pressure on one face of the plate.

(8M)

4. The diameter of a pipe bend is 0.3 m at inlet and 0.15 m at outlet and the flow is

turned through 1200 in a vertical plane. The axis at inlet is horizontal and the

center of the outlet section is 1.5 m below the center of the inlet section. The

total volume of fluid contained in the bend is 0.085m3. Neglecting friction,

calculate the magnitude and direction of the force exerted on the bend by the

water flowing through it at 225 l/s when the inlet pressure is 137.34 kN/m2.

(16M)

5. a) Explain different types of thickness of a boundary layer and give their

corresponding expressions.

(6M)

b) Water is flowing over a thin smooth plate of length 4.5 m and width 2.5 m at a

velocity of 0.9 m/s. If the boundary layer flow changes from laminar to turbulent

at a Reynolds number 5×105, find:

i) The distance from the leading edge up to which the boundary layer is laminar

ii) Thickness of the boundary layer at the transition point and

iii) the drag forces on one side of the plate. Take viscosity of water as 0.01 poise.

(10M)

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6. Three pipes of 500 mm, 300 mm and 400 mm diameters have lengths of 300 m,

100 m and 200 m respectively. They are connected in series to make a compound

pipe. The ends of this compound pipe are connected with two tanks whose

difference of water levels is 20 m. If co-efficient of friction for these pipes is same

and equal to 0.006, determine the discharge through the compound pipe

neglecting first the minor losses and then including them.

(16M)

7. a) Explain the flow over steeped notch with a neat sketch. (4M)

b) Explain orifice meter in detail with diagram. Also derive an expression for finding

out the actual discharge from a given orifice meter.

(12M)

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Code No: RT21012


PROBABILITY AND STATISTICS (Civil Engineering)





4. Statistical tables are required

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define a Random variable and Distribution function. (4M)

b) Find Moment Generating Function for normal distribution. (3M)

c) Define point estimator and unbiased estimator. (4M)

d) Write 2χ statistic for analysis of r c× table. (4M)

e) Write normal equations to fit the second degree parabola 2y a bx cx= + + . (4M)

f) Write the control line and three - sigma limits for the range chart. (3M)

PART –B

2. a) Define the Weibull Distribution and find its mean and variance. (8M)

b) Find the value of k and the distribution function ( )F x given the probability

density function of a random variable X as:

(3 2 ) 0 2( )

0

k x if xf x

otherwise

+ < <=

.

(8M)

3. a) Define Mathematical Expectation and write its properties. (8M)

b) Find Moment Generating Function for Binomial distribution.

(8M)

4. A population consists of five numbers 2, 3, 6, 8 and 11. Consider all possible

samples of size 2 that can be drawn with replacement from this population. Find

a) The mean of the population.

b) The standard deviation of the population.

c) The mean of the sampling distribution of means and

d) The standard deviation of the sampling distribution of means

(16M)

5. Test of the fidelity and the selectivity of 190 digital radio receivers produced the

results shown in the following table:

Fidelity

Low Average High

Selectivity Low 6 12 32

Average 33 61 18

High 13 15 0

Use the 0.01 level of significance to test whether there is a relationship between

fidelity and selectivity.

(16M)

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6. The following are measurements of the air velocity and evaporation coefficient of

burning fuel droplets in an impulse engine:

Air velocity (cm/s) x Evaporation coefficient (mm2/s) y

20 0.18

60 0.37

100 0.35

140 0.78

180 .056

220 .075

260 1.18

300 1.36

340 1.17

380 1.65

Fit a straight line to these data by the method of least squares and use it to

estimate the evaporation coefficient of a droplet when the air velocity is 190

cm/s.

(16M)

7. The following means and ranges, obtained in 20 successive random samples of

size 5.

Sample X R Sample X R

1 4.24 0.09 11 4.20 0.21

2 4.18 0.12 12 4.25 0.20

3 4.26 0.14 13 4.25 0.17

4 4.21 0.24 14 4.21 0.07

5 4.22 0.15 15 4.19 0.16

6 4.18 0.28 16 4.23 0.16

7 4.23 0.06 17 4.27 0.19

8 4.19 0.15 18 4.22 0.20

9 4.21 0.09 19 4.20 0.12

10 4.18 0.15 20 4.19 0.16

(a) Use these data to find the central line and control limits for an X chart.

(b) Use these data to find the central line and control limits for an R chart.

(c) Plot the given data on X and R charts based on the control chart constants

computed in parts (i) and (ii), and interpret the results.

(16M)

Note :- Statistical tables and Control Chart Constants are required

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define Gamma distribution and find its Mean. (4M)

b) Find Moment Generating Function for Poission distribution. (3M)

c) Define Population and Sample with examples. (4M)

d) Define Type-I and Type-II errors in testing of hypothesis. (4M)

e) Explain Multiple Regression. (4M)

f) Define Quality control. (3M)

PART –B

2. a) Define continuous random variable and continuous probability distribution. (8M)

b) Find the probabilities that a random variable having the standard normal

distribution will take on a value

i) between 0.87 and 1.28;

ii) between − 0.87 and 0.62;

iii) greater than 0.85;

iv) greater than − 0.65.

(8M)

3. Find Moment Generating Function for Poisson distribution and hence find its

mean and variance.

(16M)

4. a) Determine the probability that X will be between 22.39 and 22.41 if a random

sample of size 36 is taken from an infinite population having the mean

22.4 0.048.andµ σ= =

(8M)

b) Explain briefly the following :

i) Point Estimation

ii) Interval Estimation

(8M)

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5. Five treatments are used on four types of fabrics and the linear shrinkage

percentage is assessed in each case. Each fabric of certain length is made into five

pieces and the five treatments are randomly used. The data from this experiment

are than arranged as given in the following table. It is assumed that there is no

significant interaction between treatment and fabric. Perform ANOVA to test

whether there is any significant difference between treatments and between

fabrics.

Treatment Fabric

1 2 3 4

1 17.6 19.6 18.4 19.8

2 19.2 20.4 19.8 20.7

3 17.2 19.0 17.1 17.3

4 17.0 20.1 17.1 17.7

5 17.4 18.8 17.8 16.5

(16M)

6. a) The following data pertain to the cosmic ray doses measured at various altitudes:

Altitude(feet) x 50 450 780 1200 4400 4800 5300

Count y 28 30 32 36 51 58 69

Fit an exponential curve.

(8M)

b) Find the Correlation Coefficient for the following data:

x 1 2 3 4 5

y 2 5 3 8 7

(8M)

7. The following data give the means and ranges of 25 samples, each consisting of 4

compression test results on steel forgings, in thousands of pounds per square

inch:


1 45.4 2.7 14 49.2 3.1

2 48.1 3.1 15 51.1 1.5

3 46.2 5.0 16 42.8 2.2

4 45.7 1.6 17 51.1 1.4

5 41.9 2.2 18 52.4 4.3

6 49.4 5.7 19 47.9 2.2

7 52.6 6.5 20 48.6 2.7

8 54.5 3.6 21 53.3 3.0

9 45.1 2.5 22 49.7 1.1

10 47.6 1.0 23 48.2 2.1

11 42.8 3.9 24 51.6 1.6

12 41.4 5.6 25 52.3 2.4

13 43.7 2.7

(a) Use these data to find the central line and control limits for an X chart.

(b) Use these data to find the central line and control limits for an R chart.

(c) Plot the given data on X and R charts based on the control chart constants

computed in parts (i) and (ii), and interpret the results.

(16M)


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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Given the probability density function of a random variable X as:

2

( ) ,1

kf x x

x= − ∞ < < ∞

+, find k .

(4M)

b) Find the probability of getting a total of 5 at least once in three toses of pair of

fair dice?

(3M)

c) Find the value of the finite population correction factor for n= 100 and

N= 5000.

(4M)

d) Define simple correlation and write formula for simple correlation coefficient. (4M)

e) Construct a two-way Classification of analysis of variance table. (4M)

f) Write the control line and three - sigma limits for the fraction-defective chart. (3M)

PART -B

2. a) Let X be a continuous random variable with distribution :

2 0 1

( )0

k x if xf x

elsewhere

≤ ≤=

(i) Evaluate k (ii) Find (1 / 4 3 / 4).p X≤ ≤ (iii) Find ( 2 / 3).p X >

(8M)

b) Define the Gamma Distribution and find its mean and variance.

(8M)

3. Find Moment Generating Function for Binomial distribution and hence find its

mean and variance.

(16M)

4. a) Take 30 slips of paper and label five each 4− and 4,four each 3− and 3,three

each 2− and 2, and two each 1− ,0 and 1.If each slip of paper has the same

probability of being drawn , find the probability of getting

4, 3, 2, 1, 0, 1, 2, 3, 4− − − − and find the mean and the variance of this

distribution.

(8M)

b) Determine a 99% confidence interval for the mean of a normal distribution with

variance 2σ = 9 , using a sample of 100n = values with mean 5.x =

(8M)

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5. To determine whether there really is a relationship between an employee’s

performances in the company’s training program and his or her ultimate success

in the job, the company takes a sample of 400 cases from its very extensive files

and obtains the results shown in the following table:

Performance in training program

Success in job

(employer’s rating)

Below

Average Average

Above

Average Total

Poor 23 60 29 112

Average 28 79 60 167

Very

good 9 49 63 121

Total 60 188 152 400

Use the 0.01 level of significance to test the null hypothesis that performance in

the training program and success in the job are independent.

(16M)

6. The following data pertain to the demand for a product (in thousands of units)

and its price (in dollars) charged in five different market areas:

Price x 20 16 10 11 14

Demand y 22 41 120 89 56

Fit a power function and use it to estimate the demand when the price of the

product is 12 dollars

(16M)

7. During an inspection, 20 of successively selected samples of polished metal

sheet, the number of defects observed per sheet is recorded, as shown in the

following table. Construct a C-chart for the number of defects.

Sample no. No. of defects Sample no. No. of defects

1 3 11 5

2 0 12 2

3 5 13 1

4 1 14 1

5 2 15 2

6 3 16 3

7 2 17 4

8 4 18 0

9 0 19 1

10 2 20 2

(16M)


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Code No: RT21012








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PART –A

1. a) If the Probability density of a random variable is given by

( )2 0 1

0

k x x

elsewheref x

=

< <

Find the value of k .

(4M)

b) Define Moment Generating Function. (3M)

c) Define one-tailed and two-tailed tests. (4M)

d) Construct a one-way Classification of analysis of variance table. (4M)

e) Derive normal equations to fit the straight line y a bx= + . (4M)

f) Write the control line and three - sigma limits for the mean chart. (3M)

PART -B

2. a) Given that

x

kxf

2)( = is a probability distribution for a random variable that can

take on the values 4,3,2,1,0=x .

(i) Find the value of k .

(ii) Find an expression for the distribution function )(xF of the random

variable.

(8M)

b) An aptitude test for selecting offers in a bank is conducted on 1000 candidates.

The average score is 42 and the standard deviation of score is 24. Assuming

normal distribution for the scores, find

(i) The number of candidates whose scores exceed 60

(ii) The number of candidates whose scores lie between 30 and 60.

(8M)

3. Find Moment Generating Function for normal distribution and hence find its

mean and variance.

(16M)

4. a) If a 1-gallon can of paint covers on the average 513.3 square feet with a standard

deviation of 31.5 square feet, what is the probability that the sample mean area

covered by a sample of 40 of these 1-gallon cans will be anywhere from 510.0 to

520.0 square feet?

(8M)

b) Find the value of 0.99F for 1 26 20andν ν= = degrees of freedom.

(8M)

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R13 SET - 4

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Code No: RT21012

5. a) A study of TV viewers was conducted to find the opinion about the mega serial

‘Ramayana’. If 56% of a sample of 300 viewers from south and 48% of 200

viewers from north preferred the serial, , test the claim at 0.05 level of

significance that there is a difference of opinion between south and north.

(8M)

b) Explain the test procedure for small sample test concerning difference between

two means.

(8M)

6. The following are data on the drying time of a certain varnish and the amount of

an additive that is intended to reduce the drying time:

Amount of varnish additive

(grams) x 0 1 2 3 4 5 6 7 8

Drying time (hours) y 12.0 10.5 10.0 8.0 7.0 8.0 7.5 8.5 9.0

(i) Fit a second degree polynomial by the method of least squares.

(ii) Use the result of (i) to predict the drying time of the varnish when 6.5 grams

of the additive is being used.

(16M)

7. Consider the following data taken on subgroups of size 5. The data contain 20

averages and ranges on the diameter (in millimeters) of an important component

part of an engine. Display X and R Charts. Does the process appear to be in

control?


1 2.3972 0.0052 11 2.3887 0.0082

2 2.4191 0.0117 12 2.4107 0.0032

3 2.4215 0.0062 13 2.4009 0.0077

4 2.3917 0.0089 14 2.3992 0.0107

5 2.4151 0.0095 15 2.3889 0.0025

6 2.4027 0.0101 16 2.4107 0.0138

7 2.3921 0.0091 17 2.4109 0.0037

8 2.4171 0.0059 18 2.3944 0.0052

9 2.3951 0.0068 19 2.3951 0.0038

10 2.4215 0.0048 20 2.4015 0.0017

(16M)


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R13 SET - 4

code no: rt21013 r13 set - 1 ii b. tech i semester regular ... · pdf fileii b. tech i...

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