b.tech.degreesupplementaryexamination,october2020 …

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Code : 13CE 2203 R - 13 B . TECH . DEGREE SUPPLEMENTARY EXAMINATION , OCTOBER 2020 II B .Tech II Semester SOIL MECHANICS ( Civil Engineering ) Max . Marks : 60 Time : 3 hours Answer FIVE Questions , Choosing ONE Question from each section All Questions carry equal marks ** * SECTION - 1 1 { a ) Derive an expression for unit weight of soil interns of void ratio , degree of saturation , specific gravity and unit weight of water . ( b ) If natural water content , liquid limit and plastic limit of soil are 24 % , 68 % and 28 % respectively , and percentage of particles less than 2 micron is 23 % , determine liquidity index , consistency index and activity of soil . 2 ( a ) Discuss the unified soil classification system . ( b ) Explain the various tests for identification of coarse grained and fine grained soils . SECTION - n 3 ( a ) Describe the constant head permeability test for determination of coefficient of permeability . ( b ) The water table in a deposit of sand 8 m thick is at a depth of 3 m below the surface . Above the water table , die sand is saturated with capillary water . The bulk unit weight of sand is 20 kN/ m 3 . The saturated unit weight is 22 hN / m 3 . Plot die total , neutral and effective stress diagrams . 4 ( a ) Explain the terms effective stress , piping , flow net and quick sand . < b ) In a falling head permeability test , the initial head when time is zero is 40 cm . The head drops by 5 cm in 11 min. Calculate fire time required to run the test for a final head of 20 cm .

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Page 1: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

Code : 13CE2203R-13

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech II Semester

SOIL MECHANICS(Civil Engineering)

Max. Marks: 60Time: 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION-1

1 {a) Derive an expression for unit weight of soil interns of void ratio, degree of

saturation, specific gravity and unit weight of water.(b) If natural water content, liquid limit and plastic limit of soil are 24 %, 68 % and

28 % respectively, and percentage of particles less than 2 micron is 23 %,

determine liquidity index,consistency indexand activity of soil.

2 (a) Discuss the unified soil classification system.(b) Explain the various tests for identification of coarse grained and fine grained

soils.

SECTION-n

3 (a) Describe the constant head permeability test for determination of coefficient of

permeability.(b) The water table in a deposit of sand 8 m thick is at a depth of 3 m below the

surface. Above the water table, die sand is saturated with capillary water. The

bulk unit weight of sand is 20 kN/m3. The saturated unit weight is 22 hN/m3.Plotdie total, neutral and effective stress diagrams.

4 (a) Explain the terms effective stress, piping, flow net and quick sand.<b) In a falling head permeability test, the initial head when time is zero is 40 cm.

The head drops by 5 cm in 11 min. Calculate fire time required to run the test for

a final head of 20 cm.

Page 2: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - HI

'5 (a) Differentiate between Standard and Modified Proctor’s test and discuss about

field compaction control.(b) Two point loads A and B of magnitude 1000 kN and 500 kN respectively are

situated 4 m apart. Determine the vertical stress at a depth of 5 m below each

point load.

(a) Derive an expression for vertical stress at any point in a soil mass due to strip

load on the surface.(b) The soil from a borrow pit is at a bulk density of 17 kN/m3 and a water content

of 12.6 %. It is desired to construct an embankment with a compacted unit

weight of 19.62 kN/m3 and at a water content of 18 %. Determine the quantity of

soil to be excavated from the borrow pit and the amount of water to be added for

every 1000 m3 of compacted soil in the embankment

6

SECTION - IV

? (a) Explain the logarithmic time fitting method to determine coefficient of

consolidation.(b) Two clay layers A and B are 5 m and 6 m thick respectively. Time taken by

layer A to reach 50 % consolidation is 4 months. Calculate the time taken by

layer B to reach same degree of consolidation as layer A. Layer A has a double

drainage while, layer B has single drainage.Coefficient of consolidation of layer

A is twice that of layer B.

(a) Differentiate between consolidation and compaction.(b) A layer of soft clay 8 m thick is located between two layers of sand.

Consolidation test on representative sample of clay gave coefficient of

consolidation 3 m2/sec. The expected ultimate consolidation settlement of a

foundation on the clay layer is 5 cm. (i) Plow much time is required for 50 %of

ultimate settlement to occur? (ii) what will be the settlement after one year?

8

Page 3: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - V

9 (a) Describe the direct shear test to determine shear strength of soil.(b) Following are the results of undrained triaxial compression test on two identical

soil specimens at failure.Deviator Stress{fcN/nr)Cell Pressure (kN/mz)Sample No.

34010014603002

Determine die shear strength parameters.

10 (a) Explain the vane shear test

(b) The direct shear test conducted in shear box on 60 x 60 mm size sample gave the

following results:300200 400Normal load (N) 100308 380Shear load at failure (N) 150 230

Determine thecohesionand angleof internal friction.

Page 4: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

&

Page 5: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

Code : 13CS2201R-13

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II Semester

DATABASE MANAGEMENT SYSTEMS(Computer Science & Engineering)

Time : 3 hours Max. Marks :60

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

•k * *

SECTION - I

(a) Briefly explain the Database Design process.

(b) Define these terms: Entity, Entity set, Attribute, Key.1

(a) Construct an ER Diagram for an University with neat diagram and Explain in detail

about all Entities, Relation Ships.

(b) What is a data model? What are the different data models? Explain relational model

briefly.

2

SECTION - II

3 (a) Write a note on DBMS? Explain Database System Applications,

(b) Discuss about Tuple Relational Calculus in detail.

(a) What is a relation? Differentiate between a relation schema and relation instance?

What are the domaion constraints?

(b) What is the usage of ‘group by’ and ‘having’ clauses in SQL?

4

SECTION - III

(a) Discuss about joins in Relational Algebra with examples.

(b) Explain about set operations in Relational Algebra with examples.5

(a) Explain BCNF. Give an example.

(b) What are the steps to be followed to convert a relation in 3NF to BCNF.6

Page 6: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - IV

(a) Explain Time stamp-based concurrency control protocol & the modificationsimplemented in it.

(b) Write about multiple granularity in locking.

7

(a) How the lock manager implements lock and unlock requests? Explain.

(b) Discuss Multi version concurrency control techniques.8

SECTION - V

Explain advanced recovery Techniques?Describe shadow paging recovery technique?

9

10

Page 7: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

R-13Code : 13CE2209

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech. II Semester

STRENGTH OF MATERIALS(Mechanical Engineering)

Time: 3 hours Max. Marks: 60

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

(a) Derive the relationship between intensity of load, shear force and bending moment.(b) A cantilever 3m long carries a uniformly distributed load of 50kN per metre run at a

length of 1.5 from the free end. Draw the shear force and bending moment diagramsfor the beam.

1

A simply supported beam 6m long is subjected to a moment 20kN.m in a clock wisedirection at a distance 2m from the left end support and carries a vertical load oflOkN at a distance 3m from the left end. Draw Shear Force and Bending momentdiagram for the beam.

2

SECTION - II

A beam of I-section 500 x 200mm has a web and flange thickness 20mm. Calculatethe maximum intensity of shear stress across the section and draw the shear stressdistribution across the section of the beam, if it carries a shear force of 200kN at asection.

3

A 100 mm x 200mm rolled steel joist of I -Section has flanges 12mm thick and web10mm thick. Find (i) the safe uniformly distributed load the section can carry overspan of 6m if the permissible stress is limited to 150 N/mm2. (ii) the maximumbending stress when the beam carries a central concetntrated load of 20kN.

4

SECTION - III

A beam of length L is simply supported at the ends and carries a point load W at adistance ‘a’ from the end A. Find the slope at the supports and slope and deflectionunder the load using Moment area method.

5

A beam of length L and is simply supported at its ends carrying a gradually varyingload from zero at B to w per unit length at A. Determine the maximum deflection ofthe beam using Double Integration Method.

6

Page 8: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - IV

Distinguish between simply supported beam and fixed beam.A fixed beam of 4m span is carrying a udl of lOkN/m throughout the span. Drawthe S.F and B.M. diagrams and calculate its maximum deflection. Take El = 3 x103kN.m2.

7

2A rectangular block of material is subjected to a tensile stress of llON/mm on oneplane and a tensile stress of 50 N/mm2 on the plane at right angle to the former. Eachof the above stress is accompanied by a shear stress of 60 N/mm2. Find (i) directionand magnitudes of each of the principal stress (ii) Magnitude of greatest shear stress.

8

SECTION - V

Determine the Euler’s crushing load for a hollow cylindrical cast iron column150mm external diameter and 20mm thick. If it is hinged at both the ends and 6mlong compare this load with the crushing load as given by Rankine’s formula. Use

the constants. Use fc = 550MPa, a =

9

1 and E = 80 GPa.1600

A cylindrical shell of 2.2m internal diameter is constructed of mild steel plate. Theshell is subjected to an internal pressure of 0.8 MPa. Determine the thickness of theshell plate by adopting a factor of safety of 6. The ultimate tensile strength of steel is470 MPa. The efficiency of the longitudinal joint may be taken as 78%.

10

Page 9: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

R-13Code : 13EC2202

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II Semester

RANDOM SIGNALS & STOCHASTIC PROCESSES(Electronics & Communication Engineering)

Max. Marks :60Time : 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

1 Define Bay’s Theorem and Conditional probabilityAn elementary binary communication system consists of a transmitter that sends one

of two possible symbols (a 1 or a 0) over a channel to a receiver. The channel

occasionally causes errors to occur so that a 1 shows up at the receiver as a 0, and vice

versa. The probabilities that the symbols 1 and 0 are selected for transmission are

assumed to be P(Bi)=0.6 and P(B2)=0.4.. Assume Ai and A2 are two receivers and Biand B2 are two transmitters. Assume, the channel is binary symmetric channel.Calculate the P(Bi/Ai), P(B2/A2), PCB1/A2) and P(B2/AI).

pmm = o.eA*61

PCA2/B13 =0.1_f"1

PtATStttt = 0.1

A£PfA-tSEIti =0.9

P &ZJ = G -*

2 The exponential density function is given below. Calculate E[X], E[X2], cr*, Skew and

coefficient of Skewness.fl —( x —a)/ b X > aAG) = beVO x < a

SECTION - II

3 Show that “The density function of the sum of two statistically independent random

variables is the convolution of their individual density functions”.

4 Show that “The Variance of a weighted sum of uncorrelated random variables

(weights at) equals the weighted sum of the variances of the random variables

(weights a f )”.

Page 10: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - III

5 Find the mean and variances of the random processes X(t). It’s Auto-correlationfunction is shown below. Assume X(t) is stationary Ergodic processes with noperiodic component.

4RXX (.t ) — 25 + 1 + 6r2

6 Derive the expression for Wiener-Khintchine relations.

SECTION - IV

7 Define Linear time-invariant system. Derive the expression for Power densityspectrum of response of linear time-invariant system.

Derive relations of Mean, Mean squared value of system response and Auto-correlation function of response in Random signal response of linear systems.

8

SECTION - V

9 Define noise band width and Explain Modeling of noise Sources?

10 Draw the block diagram of Wiener filter. Derive the suitable relations.

Page 11: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

Code: 13EE2204R-13

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II Semester

ELECTRO MECHANICAL ENERGY CONVERSION - II(Electrical & Electronics Engineering)

Max. Marks: 60Time : 3 hoursAnswer FIVE Questions, Choosing ONE Question from each section

All Questions carry equal marks"k k "k

SECTION - I

(a) Explain the procedure for conducting sumpner’s test along with all precautions tobe taken while conducting the test with neat diagram.

(b) Two 220/110V transformers are operated in parallel to share a load 250KVAat 0.8 p.f lagging. Transformers are rated as given below.

Transformer A: 150 KVA, 0.9% resistance and 10% reactance.Transformer B: 100KVA, 1.0% resistance and 5% reactance.

Determine the load shared by each transformer.

1

2 (a) Discuss the relative merits and demerits of an auto-transformer.

(b) A 10,000/5000 V single-phase transformer is rated at 100 kVA as a two-windingtransformer. It is desired to connect the two windings of the transformer in seriesacross 15,000 Volts supply and operate it as an auto-transformer. Explain theconnections for achieving the same. What are the possible voltage ratios and thecorresponding maximum outputs?

SECTION - II

3 (a) Explain clearly how a three-phase transformer Ydl1, can be successfully operatedin parallel with another transformer Dyl.

(b) Explain the advantages of using a tertiary winding in a star-star transformers.

In Scott-connected transformers, teaser transformer supplies unity p.f. load of 500kW at 200 V and the main transformer supplies 0.8 p.f. lagging load of 400 kW at200 V. For a 3-phase input voltage of 6600 V, determine the primary line currents.Neglect magnetizing currents and the leakage impedance drops.

4

SECTION - III

5 (a) Describe the principle of operation of a 3-phase induction motor. Explain why therotor is forced to rotate in the direction of rotating magnetic field.

(b) A 3-phase, 50 Elz induction motor has a starting torque which is 1.25 times full-load torque and a maximum torque which is 2.5 times full-load torque. Neglectingstator resistance and rotational losses and assuming constant rotor resistance, find:

(i) The slip at full load (ii) the slip at maximum torque(iii) The rotor current at starting in per unit of full-load rotor current.

Page 12: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

6 (a) Sketch the torque-speed curve of a conventional induction motor and indicate howthis will change when

(i) The rotor resistance is doubled, keeping stator voltage and frequencyunchanged;

(ii) The rotor resistance is halved, keeping stator voltage and frequencyunchanged.

(b) A 40 kW, 3-phase slip ring induction motor of negligible stator impedance runs ata speed of 0.96 time’s synchronous speed at rated torque. The slip at maximumtorque is 4 times the full load value. If the rotor resistance of the motor isincreased by 5 times, determine

(i) the speed, power output and rotor ohmic loss at rated torque.(ii) the speed corresponding to maximum torque.

Neglect mechanical losses.

SECTION - IV

(a) What is represented by the circle diagram of an induction motor? Whatinformation can be obtained from it?

(b) Explain how the circle diagram for a poly phase induction motor can be drawnfrom its test data.

7

A Squirrel Cage Induction Motor has a starting current of six times the full-loadcurrent at a slip of 0.04. Calculate the line current and starting current in p.u. offull-load values for the following methods of starting:(i) Direct switching(ii) Auto-transformer starting with motor current limited to 2.0 p.u.(iii) Star-delta starting.

8

SECTION - V

(a) Explain the technique of varying the speed of a 3-phase induction motor byinjecting an appropriate emf in the rotor circuit. Indicate the merits, if any, of thismethod.

(b) Explain with the help of neat diagrams variable voltage variable frequency speedcontrol of induction motors. What happens if the frequency is smaller than orgreater than the normal frequency?

9

10 (a) Explain why some induction motors have double-cage rotors and indicate thesituations where they are preferred for use.

(b) Explain the principle of operation of a self-excited 3-phase induction generator.

Page 13: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

Code : 13SH2203R 13

B.TECH.DEGREE SUPPLEMENTARY EXAMINATION,OCTOBER 2020

II B.Tech. II SemesterECONOMICS & ACCOUNTANCY

(Computer Science & Engineering)Max. Marks: 60Time : 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

What is law of demand?

What are the exceptions to law of demand? Explain.

What do you mean by elasticity of demand?

State the factors determining the elasticity of demand.

1 (a)

(b)

2 (a)

(b)

SECTION - II

Write a short note on

Isoquant

IsocostWhat is Break Even Point? What are its assumptions? Explain in detail.

3

(a)

(b)

4

SECTION - III

What are the different market structures?

Explain the conditions favorable for perfect competition?5 (a)

(b)

What is monopoly? What are its important features?

Explain how price is determined under monopoly.6 (a)

(b)

Page 14: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - IV

What is partnership business? What are its merits and demerits? Explain in detail.7

What are the important documents required for the formation of a company? Explain.8

SECTION - V

9 (a) What are the various accounting concepts? Explain.

(b) Explain the important items that appear in profit and loss account?

What are the various factors that determine the working capital requirements of a

business? Explain each of them in detail.

10

Page 15: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

R-13Code: 13CE2208

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech. II Semester

HYDRAULIC MACHINES(Mechanical Engineering)

Time: 3 hours Max. Marks: 60

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

***

SECTION - I

1 (a) Derive the expression force exerted by a fluid jet on a series of radial curved vanes, when itstrikes at one of the tips.

(b) A jet of water 75 mm in diameter having velocity of 20 m/s strikes a series of flat platesarranged around the periphery of a wheel such that each plate appears successively beforethe jet. If the plates are moving at a velocity of 5m/s, find the force exerted by the jet on theplate, the work done per second on the plate and the efficiency of the jet

2 (a) A jet has a direct impact on a plate moving in the direction of the jet. Find the force ofimpact and the work done by the jet per second on the plate. Can this occur in practicalcases? Explain.

(b) A jet with a velocity V strikes a single curved vane moving in the same direction of jet as itis moving with a velocity u. The vane causes the flow direction to be completely reversed.Show that V=3u for maximum efficiency. Determine maximum efficiency.

SECTION - II

3 Prove that the work done per second per unit weight of water in a reaction turbine-(VwlU'l±Vw2U2)is given as g

4 (a) Define the term governing of a turbine. With the help of a neat sketch, describethe working of governing mechanism of pelton turbine.

(b) A turbine is to operate under a head of 25m at 200rpm. The discharge is 9m /s. If theefficiency is 90%, determine (i) Speed of the turbine (ii) power generation by the turbine

Page 16: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - III

5 (a) Why are centrifugal pumps used sometimes in series and sometimes in parallel?

(b) Two geometrically similar pumps are running at the same speed of lOOOrpm. One pumphas an impeller diameter of 0.3m and lifts water at the rate of 201itres per second against ahead of 15m. Determine the head and impeller diameter of the other pump to deliver halfthe discharge.

6 (a) Define the specific speed of a centrifugal pump. Derive and expression for the same.

(b) Find the number of pumps required to take water from a deep well under a total head of89m. All the pumps are identical and are running at 800 rpm. The specific speed of eachpump is given as 25 while the rated capacity of each pump is 0.16 m3/s

SECTION - IV

7 (a) What are the main differences between centrifugal and reciprocating pumps?

(b) A single acting reciprocating pump has a plunger of diameter 250mm and strokeof 350mm. If the speed of the pump is 60 rpm and it delivers 16.5 letres persecond of water against a suction head of 5m and a delivery head of 20m, findthe theoretical discharge, coefficient of discharge, the slip the percentage slip ofthe pump and power required to drive the pump.

8 (a) Why is a reciprocating pump called positive displacement pump?

(b) A double acting pump has a bore of 0.2m and stroke of 0.4m. The suction pipehas a diameter of 0.1m and is fitted with an air vessel. Find the rate of flow intoor from the air vessel when the crank makes angles of 30°, 90° and 120° withinner dead centre. Determine also the crank angles at which there is no flow to orfrom the air vessel. Take the speed as 120rpm, and assume that the plunger hassimple harmonic motion.

SECTION - V

9 (a) With the help of a neat sketch, explain the working principle of hydraulic ram.

(b) An hydraulic intensifier supplying water to a hydraulic press gets water fromsupply main at a pressure of 500kPa. It has to intensify the pressure to40,OOOkPa. The stroke of the intensifier is 1.2m and its capacity is 24 liters. Findthe diameter of the ram and the external diameter of the sliding cylinder of theintensifier.

10 A Flydraulic lift raises a load of 80kN through a height of 12m once every 2 minutes, thespeed of lifting being0.6m per second. It is worked from an accumulator which is beingconstantly charged by a pump. The pressure of water is 3450kN/m2, the efficiency of thelift is 75% and the efficiency of pump is 85%. Find the power required to drive the pump.Friction losses in the pipe may be neglected.

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R-13 Code : 13EC2201

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II Semester

SWITCHING THEORY & LOGIC DESIGN(Common for EEE & ECE)

Max. Marks :60Time : 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

Convert the following numbers(4567)io to base 8 (ii) (53.175)i0 to base 21. (a)

0)

What is the advantage of 2’s complement representation in computers? Performthe following operation using 2’s complement method

(i) (+55) - (+15) (ii) (-55) - (-15)

(b)

A receiver with even parity Hamming code is received the data as 1110110 determine the

correct code.2. (a)

What are the Universal gates? Realize AND, OR , and NOT gates using universal gates.(b)

SECTION - II

Minimize the function using K-map & obtain minimal SOP function?F(A,B,C,D) =[I (1,2,3,4,6,9,10,12,14) + d(5,7,l1)3- (a)

Expand A+ BC’+ABD’+ABCD to minterms & maxterms.(b)

Reduce the following Boolean function with K-map & Implement using Universal gates.

F= I m (0,1,4,5,6,7,9,11,15)+£ d (10,14).4.

SECTION - III

Design 2 to 4 Decoder using NOR gates.5. (a)

(b) Realize a 3-bit Odd parity generator circuit using only 2-input XOR gate.

Define Multiplexer? Construct 16:1 Mux using 4:1 Mux . Draw the logic diagram with

necessary conditions.6.

SECTION - IV

Draw the schematic circuit of J-K Flip flop with negative edge triggering. Convert this

Flip flop to Toggle Flip flop (T). Give its Truth Table justify the entries in the truth table.7.

Page 18: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

(a) Design 4-bit Ripple Counter using clocked D-Flip flops.(b) Compare Asynchronous & Synchronous Counter.

8 .

SECTION - V

Explain different types of ROM’s and describe memory expansion.9.

Explain the architecture of Dynamic RAM and Static RAM.10.

Page 19: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

R-13

Code : 13CE2202B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech II Semester

FLUID MECHANICS - II

(Civil Engineering)

Max Marks: 60Time : 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

SECTION - 1

(a) Derive an equation of velocity distribution for laminar flow in pipe. Also drawthe sketch of velocity and shear stress distribution across the pipe section.

(b) Water flows through a pipe of diameter 16 cm with Darcy’s friction factor0.064. The shear stress at a point 5 cm from the pipe wall is 0.02 N/cm .Calculate the shear stress at the pipe wall and the pressure gradient.

1.

2. (a) Explain the difference between Darcy’s law and Stokes law.(b) Water flows through two parallel fixed plates placed at 2 mm apart. If the

viscosity of the fluid flowing between the plates is 0.01 poise, and averagevelocity is 0.4 m/s, determine the pressure drop per unit length, maximumvelocity and shear stress at the wall.

SECTION - II

3. (a) Describe laminar sub layer in case of turbulent flow. How it changes in smoothand rough pipes?

(b) The velocity in a rough pipe of 10 cm diameter is measured by a pitot tube. It isobserved that when the pitot tube is moved from 1.5 cm to 3 cm from the wall,the increase in velocity was 10%. Find out the roughness of the pipe and thefriction factor for the pipe (f).

4. (a) Derive an expression for the loss of head due to (i) sudden enlargement and (ii)sudden contraction of a pipe.

(b) A 2 m wide and 5 m long plate moves in air of density 1.25 kg/m and viscosity2 x 10 N.s/m at a velocity of 2 m/s. Determine the thickness 5 of turbulentboundary layer at trailing edge, Cd and FD- Also find the thickness of laminarsublayer 8b.

Page 20: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - III5. (a) How will you determine whether a boundary layer flow is attached flow,

detached flow or on the verge of separation?

The velocity distribution in the boundary layer is given by u/U = y/S, where u is

the velocity at a distance y from the plate and u = U at y = S, S being boundarylayer thickness. Find the displacement thickness, momentum thickness andenergy thickness.

(b)

(a) What do you understand by drag force? Explain in detail about different dragforces.

(b) A plate 420 mm x 120 mm has been placed longitudinally in a stream of crudeoil (specific gravity 0.925 and kinematic viscosity of 0.9 stoke) which flowswith velocity of 6 m/s. calculate:

(i) The friction drag on the plate.(ii) Thickness of the boundary layer at the trailing edge and(iii)Shear stress at the trailing edge.

6.

SECTION - IV

(a) Derive an expression for finding the hydraulic efficiency of a Pelton wheel.

(b) Define specific speed. Determine an expression for finding the same.7.

(a) With the help of a neat sketch explain the construction of a Francis turbine.8.

(b) A pelton wheel has to be designed for the following data: power to bedeveloped = 6000 kW, Net head available = 300 m, speed = 500 rpm, Ratio ofjet diameter to the wheel diameter = 1/10 and overall efficiency = 85%. Find thenumber of jets, diameter of jet, diameter of the wheel and quantity of waterrequired.

SECTION - V

9. (a) Derive an expression for finding the work done by the impeller of a centrifugalpump.

(b) A centrifugal pump impeller whose external and internal diameters are 400 mmand 200 mm respectively is running at 950 r.p.m. The rate of flow through thepump is 0.035 m /s. The suction and delivery heads are 5 m 25 m respectively.The diameters of the suction and delivery pipes are 120 mm and 80 mmrespectively. If the outlet vane angle is 45°, the flow velocity is constant andequal to 1.8 m/s and power required to drive the pump is 15 kW, determine: (i)Inlet vane angle (ii) The overall efficiency, and (iii) The manometric efficiency.

10. (a) With the help of a neat sketch explain the component parts and working of asingle acting reciprocating pump.

(b) Write a brief note on the operating characteristic curves of a reciprocating pump.

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R-13 Code : 13CS2203

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II SemesterOPERATING SYSTEMS

(Computer Science & Engineering)

Time : 3 hours Max. Marks :60

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

(a) How does dual mode operation provide protection to the System?

(b) Explain the services provided by operating systems?1

(a) Distinguish clent server computing and peer- to - peer computing?

(b) What is a system call? What are the different types of system calls2

SECTION - II

(a) Calculate the following set of processes with the length of CPU burst given in millseconds

3

Process Burst Time Priority

310PI16P228P347P425P54P6 4

Processes are arrived to have arrived in the order P1,P2,P3,P4,P5 all at time 0,

(i) Draw the Ganti Charts for FCFS,SJF, non preemptive priority, RR(quantum=l)

(ii) Calculate waiting time, turn around time of each process for each of thesescheduling algorithms

(iii) Which of these algorithms results in minimum average waiting time?

(b) Explain multi level queue scheduling?

Compare different disk scheduling algorithms?4

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SECTION - III

5 (a) Explain Dining Philosophers problem?(b) What are the different ways of message passing?

(a) Explain Bankers algorithms(b) Consider a system with 5 processes P0,P1,P2,P3,P4, and 3 resources R0,R1,R2 has

10,5 and 7 instances respectively. The max and allocation data structures are asfollows

6

Allocation RoMax RO R1 R2 R1 R2P0 7 5 3 P0 0 1 0PI 3 2 PI 2 0 02P2 9 0 P2 3 0 22P3 2 2 2 P3 2 1 1

P4P4 4 3 3 0 0 2

If P0 requests [0 2 0] , What is the resulting state and give the safe sequence if any.

SECTION - IV

(a) What is the purpose of paging the page table?

(b) Consider a logical address space of 64 pages of 1024 words each , mapped on to aphysical memory of 32 frames. How many bits are there in logival address andphysical address?

7

8 (a) How is frame allocation done in memory?

(b) Explain LRU approximation page replacement algorithm.

SECTION - V

9 (a) Explain indexed allocation of files.

(b) Explain file attributes and file operatrions.

Explain the following(i) Kernel I/O subsystem (ii) Design principles of Windows XP.

10

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R-13 Code : 13ME2203

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech. II Semester

Machine Tools(Mechanical Engineering)

Time : 3 hours Max. Marks :60

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

4c it it

SECTION - I

(a) Explain taper turning methods with the help of simple sketches.

(b) State the advantages of automatic lathes and mention their classification.1.

(a) Explain various attachments of lathe.(b) Explain the working principle of Turret lathe and highlight the advantages over

Capstan lathe

2 .

SECTION - II

(a) Explain principle of operation of a jig boring machine and compare accuracy withdrilling machine

(b) Explain any quick return mechanism of shaper with the help neat sketch.

3.

(a) Differentiate between planner and slotter

(b) Explain working principle of Upright drilling machine and mention various toolholding devices for drilling

4.

SECTION - III

(a) Explain gear hobbing with simple sketch.

(b) Explain how do you generate 69 teeth gear wheel on blank with differential indexing.5.

(a) Explain universal milling machine working principle.

(b) Differentiate between up milling and down milling

SECTION - IV

6 .

(a) Explain types of bonds in grinding wheel.(b) Explain working principle of broaching machine and mention various types p

7.

(a) Explain how lapping can be performed.(b) Explain the principle of operations of surface grinding

8.

SECTION - V

(a) Explain the working principle of USM and give empirical relation for MRR

(b) Differentiate between EBM and LBM9.

10. (a) Explain the working principle of ECM with the help of simple sketch

(b) Differentiate between AJM and WJM

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I

R-13 Code : 13EC2204

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech. II Semester

PULSE & ANALOG CIRCUITS(Common for EEE & ECE)

Time : 3 hours Max. Marks :60Answer FIVE Questions, Choosing ONE Question from each section

All Questions carry equal marks* * *

SECTION - I

(a) a. Derive the expression for rise-time of pulse waveform after passing through low-pass RC circuit.

1

(b) Draw and Explain the response of RLC circuit for step input

2 (a) Explain the operation of positive clamper circuit using diode.

State and prove clamping circuit theorem with relevant circuit and waveforms.(b)

SECTION - II

(a) . Design the Transistor switch [ Inverter] for the following specifications.Vin= ±3Vsquare wave, VCC=10V,IC=lmA, hFE=50.Assume Si transistor'.

3

(b) Explain how transistor acts as switch? Draw base and collector waveforms andindicate all the time intervals.

(a) Explain the operation of Free Running multi-vibrator with neat sketch .

(b) Design the Astable Multivibrator to generate 5 KHz square wave.

The supply voltag VCC=10V, IC[sat]=10mA hFE=50 and assume Si transistors.

4

SECTION - III

What is relaxation oscillator? Name some negative resistance devices used asrelaxation oscillators and give its applications,

b) What are the other names of a gate signal

5 (a)

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A transistor bootstrap ramp generator is to produce a 15V, 5ms output to a .

2kohms load resistor. The ramp is to be linear within 2%. Design a suitable

circuit using Vcc = 22V, -VEE = -22V and transistor with hfe(min) = 25. The

input pulse has an amplitude of -5V, pulse width. = 5ms and space width = 1' •’

2.5ms ;

6 (a)

Compare the unidirectional and bi-directional sampling gates.(b)

SECTION - IV \

Second Order effects - MOS Device capacitance and Small signal model .7

Explain in detail about small signal model for common Drain amplifier.8

SECTION - V

(a) Explain different coupling methods involved in amplifiers and give the merits and

demerits of each method.9

(b) Derive an expression for efficiency in class-C power amplifier.

(a) Explain the effect of cascading single tuned amplifier on bandjvidth and staggertuned amplifiers.

10

(b) Explain the various types of Small signal tuned amplifiers.

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R-13 Code: 13CE2205

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech II Semester

BUILDING PLANNING AND DRAWING(Civil Engineering)

Time : 3 hours Max Marks: 60

Note: Two full questions from Part A and Question 4 from Part B.Assume suitable data wherever necessary

Drawing sheets should be folded to the size of answer book and fasten it severely to main answer book

PART A1. (a) Explain the various basic requirements of a building.1. (b) Explain the standard sizes of doors and ventilators.

2. (a) Explain the factors to be considered in planning of a school building.2. (b) Explain the various preliminaries of Vaasthu.

3. (a) Explain the list of documents to be submitted for a building plan approval.3. (b) Explain the following:(i) Minimum size requirements as per NBC and (ii) Municipal bye-laws

PART B4.(a) Draw the details of a solid core flush door. _4. (b) The centre line diagram of a residential' building (Clear Dimensions) is . given in Fig.l.Draw the (i) Plan (ii) Elevation and (iii)\Section along AB. The height of roof slab is 3.3 m.' Thedepth of the foundation is 1.5 m below GL.

v Dwc

1.8 mxl _2m

wPassage

2m Widef-.Bath Kitchen

3 m x 2.4 mW W1.8 mx2.4 m

A

WD1 D BDIBed Room

3.5 m x 4 mVD

ToiletV 1.8 m x 1.5 m

Living Room5.5 m x 4.2 m Dining Hall

3.6 m x 4.2 mD WD1

L — V B3rDToilet

1.8 m x 1.5 m

D WBed Room -3.5 m x 4.2 mV

Verandah4.5 m x 2 m

W

Fie. 1

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R-13Code : 13CS2204

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech. II Semester

SOFTWARE ENGINEERING(Computer Science & Engineering)

Time : 3 hours Max. Marks :60

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* *

SECTION - I

(a) What is software process? Explain generic activities in the process framework.

(b) Explain team software process models.

1

(a) Which process model is preferable for large projects? Justify

(b) What are the different phases of unified process? Also mention the differencesbetween UP phase and UP workflow.

2

SECTION - II

(a) Explain the fundamental principles that guide the practice of software engineering.

(b) Construct the swimlane diagram for access camera surveillance.

(a) Explain the principles of modeling.

(b) How does a sequence diagram differ from a state diagram?

3

4

SECTION - III

5 (a) Explain flow oriented modeling.

(b) What are the steps involved in the creation of behavioral modeling?

6 (a) What are the characteristics of a good design?

(b) Explain the different elements of design model.

SECTION - IV

(a) Explain different architectural styles and patterns.

(b) How is data flow mapped to software architecture?7

(a) Explain the design of class based components.

(b) What are the typical steps involved in component level design?8

SECTION - V

9 (a) Explain unit testing.

(b) Mention the differences between white box and black box testing.

10 (a) Explain the test strategies for object oriented software.

(b) Explain the methods of class level testing.

Page 30: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

aa -. .1 - .. u; . •• 1

Page 31: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

R-13 Code : 13ME2202

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech II SEMESTER

MACHINE DRAWING(Mechanical Engineering )

Time : 3 hours Max. Marks :60

Any dimensions not clear or not given may be suitablyAssumed or scaled from the drawing

•k * *

SECTION - I

Sketch neatly eye foundation bolt giving proportionate dimensions.1

Sketch the Woodruff key and Flat saddle key.2

SECTION - II

Draw half sectional view from the front, top half in section and view from the side ofa protected type of flange coupling to connect two shafts, each of diameter 30mm.

3

Draw sectional view from the front and view from above, of the double rivetedzig- zag lap joint to joint plates of thickness 10mm.

4

(P.T.O)

Page 32: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION - III

5 Details of Clapper box are given in figure 1. Draw the front view in half section and

top view.

30 45 1 if3=ptZkN ;

1~fig/*--

iB-JLi 12 H 6SiH:ELH

24! ©m-r3f Ib- *Vi' wISIS [7]m a>. >

T1\ ;UM&mm i

rft e 25 -a 53 H©F«=* :' J aii

13©10Q ParteisU

3 FartNa Nan® Qty1 Swivel plate

Dragrasas*datea

CD 2 a3 MSFin t4: Ted hdfier

Tod damping screwV -i’aste

MGS 1t5 MS !

ta MSi« -*-1»*:*c as «=*• a 5* a» -» »

nD

21

Fig.l Clapper Box

Page 33: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

Prepare the part drawing for the Drill Jig shown in the figure 2.6

(D 75 . 25 , <2>X'*28\

*5 \ \j *14

im..s. IBs

rv\ \

\ Vo3 cO\ SX v44A \ <f[ 18 '9.er u rni iil^8t

i =1 t N \5?0 4 _

. jgwrHorE >- •» v ,W'-.'

l

| ‘ f5 R =- •. «- -J*.3£‘4h2* 8»

i I if?i -*y tSi:r &flop

/.uVhfcr3 J7vT/

h «£J;

0 124 30*

V̂/ //K/ R/ / /*

*w- S7¥= .•H

& H -0*78d> ffi 1B i

i0 i1 0m - \L.~sa -i

I i\*. 3ss| Lif- t 4s

7731 ' P7n iI st R24IIP\ 1‘Sf t <3ibd* La

/1 12 td. ./// 0f

128*"*+

farts 3&Partite.PartNa Name Mas. Naas Mail. Qty.

1 Jig tolyBUSfiplafcmsas&ig le r̂LackingscrewRotefina pin

3 1 £ dampDrfl busfiCttSSSlETLocating pirt

E¥f *pta

Cl 12 a 7 HGS

MSH

3 MS 1 * 1m i4 § HCS ru

1-&5 m 5 HCS .2

Fig. 2 Drill Jig

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Page 35: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

R-13

Code : 13SH2202B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II SemesterECONOMICS & ACCOUNTANCY

(Common for EEE & ECE)Time : 3 hours Max. Marks :60

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

(a) What do you mean by price elasticity of demand? What are its various types?

(b) Explain the importance of elasticity of demand in business.What is meant by law of diminishing marginal utility? What are its practicalapplications? Explain.

1

2

SECTION - II

Write a short note on

(a) Opportunity cost Vs Outlay cost

(b) Incremental cost Vs Sunk costWhat are the various managerial applications of break even analysis? Explain indetail.

3

4

SECTION - III

(a) What are the differences between perfect markets and imperfect markets?(b) Explain how price is determined under perfect competition.

5

(a) What are the important features of monopolistic competition?(b) Explain how a firm takes its pricing and output decisions under monopolistic

competition.

6

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SECTION - IV

What is sole proprietorship? What are its merits and limitations? Explain.7

What is ownership capital? How it is different from borrowed capital? Explain.8

SECTION - V

(a) What is a trail balance? What are its objectives?

(b) What is meant by financial statement analysis? What is its importance in the

business?

9

What is meant by capital budgeting? What are its important techniques? Explain each

of them in detail.10

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R-13

Code: 13CE2206B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech II SemesterSURVEYING - II(Civil Engineering)

Time : 3 hours Max Marks: 60

Answer FIVE Questions, Choosing ONE Question from each sectionAll questions carry equal marks

* * *

SECTION-1

1 (a) Define the following terms associated with the Vernier transit theodolite:(i) Vertical axis, (ii) Trunnion axis, (iii) Axis of plate level, (iv) Centering.

(b) The table below gives the lengths and bearings of the lines of a traverse ABCDEA,the length and bearing of EA having been omitted. Calculate the length and bearing ofline EA.

Length (m) BearingLine87° 30'204.0AB20° 20'280° 00'

226.0BC187.0CD

210° 30'192.0DE?9EA

2 (a) Explain the procedure of measurement of horizontal angles by Reiteration method andstate the errors that can be eliminated by this method.

(b) A closed traverse was conducted round an obstacle and the following observationswere made. Work out the missing quantities:

AzimuthSide Length (m)98°30'500AB30°20'620BC

298°30'468CD230°0'?DE

150°10'?EA

Page 38: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

SECTION- II3 (a) What is tachometry? Describe its uses.

(b)Compute the difference in height between two points A and B from the followingobservations:

Vertical angle Stadia hair reading (m)Point0.825, 1.300, 1.775A + 08°00'0.802, 1.850, 2.898B -22°00'

4 (a) What is tangential system of tacheometry? What are its advantages over the stadiamethod?(b) Two observations are taken upon a vertical staff by means of a Theodolite. For thefirst, the line of sight is directed to give a staff reading of 0.880m and an angle ofelevation of 4°08'. In the second case, the staff reading is 3.340m and the angle ofelevation is 5°30'. If the elevation of trunnion axis of the instrument is 195.60m, computethe R.L. of the staff station and its horizontal distance from the instrument.

SECTION - III5 (a) How would you select a suitable peg interval for a circular curve? What do you

understand by unit chord and sub-chord?0

(b)Two straight roads meet at an angle of 130 . Calculate the necessary data for settingout a circular curve of 15 chains radius between the roads by the offsets from longchord method. The length of one chain is 20 m.

6 (a) What are the requirements of an ideal transition curve?

(b) Two tangents intersect at chainage 1192 m, the deflection angle being 50°30'.Calculate the necessary data for setting out a curve of radius 300 m to connect the twotangents if it is intended to set out the curve by one theodolite method. If the theodolitehas a least count of 20", tabulate the actual deflection angles to be set out.

SECTION- IV7 (a) Explain the component parts of total station and state the functions of each part.

(b) What are the three segments of GPS? Explain the functions of each in detail.

8 (a) Explain the procedure for setting up total station for taking observations,

(b) Explain about the differential GPS.

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SECTION - V9 (a) Write short notes on the following:

Principal pointIsocentre

(iii) Vertical photograph

(i)(ii)

(b) A vertical photograph was taken at an altitude of 1200 m above mean sea level.Determine the scale of photograph for terrain laying at elevations of 80 m and 300 mif the focal length of the camera is 15 cm.

10 (a) What is photographic scale? Derive an equation for the calculation of photographicscale with the help of a neat diagram.

(b) What are mosaics? Explain the different classification of mosaics.

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I'J

Page 41: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

Code: 13CE2201R 13

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020II B.Tech II SemesterSTRENGTH OF MATERIALS

(Civil Engineering)Max Marks: 60Time : 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll questions carry equal marks

•k * *

SECTION - I

(a) A) Draw shear force and bending moment diagram for a cantilever beamAB of length ‘L’ loaded with uniformly distributed load ‘w’ per unit length,representing high and lower values.

(b) A simply supported horizontal beam AB span 6 m. is loaded with 5 kN,lOkN and 12 kN vertically at lm, 3m and 4m respectively from end A.Draw the bending moment and shearing force diagrams showing salientpoints.

1.

(a) Derive the relation between bending moment, shearing force and rate ofloading.

(b) Draw shear force and bending moment diagram for a simply supportedbeam AB of length ‘L’ loaded with triangular loading intensity zero at ‘A’and ‘w’ per unit length at ‘B’, representing salient values.

2.

SECTION - II

(a) Derive pure bending equation state all necessary assumptions.(b) A simply supported beam 3 m span and cross section of “I” shape with

bottom flange 300 mm X 50 mm(thickness) , top flange 100 mm x30mm(thickness) and web 250 mm x 30 mm.is loaded with a Uniformlydistributed load of 66 kN/m. Find the extreme end pressures in compressionand tension.

3.

Prove the maximum shear stress in a beam of rectangular cross section is1.5 times the average shear stress at that section.

4.

SECTION - III

(a) Derive an expression for Euler’s crippling load when both ends of thecolumn are hinged.

(b) A square bar 100 mm size and 3m in length is used as strut. One end of strutis fixed while its other end is hinged. Find the safe compressive load for thisstrut using Euler’s formula? Assume young’s modulus of steel is 200 x 105N/mm . Consider factor of safety 3.

5.

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A simply supported beam of rectangular section carries an udl of 50kN/mover its 3 m span, along with axial compressive force 100 kN. The beam isof 200 mm wide and 250 mm depth. Compute i) maximum fiber stress ii)the fiber stress lm from left end of the beam and 100 mm below the neutralaxis.

6 .

SECTION - IV

A solid aluminium shaft lm long and 40mm diameter is to be replaced by atubular steel shaft of same length and same outside diameter, so that eithershaft could carry the same torque and have the same angle of twist over thetotal length. Determine the inner diameter of the tubular steel shaft if themodulus of rigidity of steel is 3 times that of aluminium.

7.

(a) Derive the equations for deflection of closely coiled helical spring in axialpull.

(b) A closely coiled helical spring is to carry a load of 150 N. The mean coildiameter has to be 10 times that of the wire diameter. If the maximum shearstress is not to exceed lOONm . Calculatea) The diameter of the wire, and (b) diameter of the coil.

8.

SECTION - V

The stresses on two perpendicular planes through a point are 30 N/mm2

tension and 15 N/mm compression and 10 N/mm shear find the stresscomponents and the resultant stress on a plane at 60° to that of the tensilestress. Also calculate plane of principle stress with tensile tress plane andvalues of major and minor principal stresses.

9.

10 . A cylindrical shell 1500 mm long and 600mm internal diameter and 8mmmetal thickness is subjected to an internal pressure of 5 N/mm2. Calculatelongitudinal stress, hoop stress, maximum intensity of shear stress, andchange in volume of the thin cylinder.

E=2xl05 N/mm2, poisons ratio 0.28

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Code : 13SH2201R 13

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II Semester

ENGINEERING MATHEMATICS - IV(Common for EEE & ECE)

Max. Marks :60Time : 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

(a) Find a root of the equationx3 -x-11 = 0 , using bisection method correct to three decimalplaces.

(b) Using Newton’s iterative method, find the real root of xlogl0 x = 1.2 correct to five decimal

places.2 (a) A simply supported beam carries a concentrated load P (lb) at its mid-point. Corresponding to

various values of P, the maximum deflection Y (in) is measured. The data are given below:

1

160 180 200100 120 140P:0.80 0.850.55 0.60 0.70Y: 0.45

Find a law of the form Y = a+bP(b) In a partially destroyed laboratory record, only the lines of regression of y on x and x on y

are available as 4x-5^ + 33 = 0 and 20x-9y = 107 respectively. Calculatex , y and the

coefficient of correlation between x and y .

SECTION - II

3 (a) Solve the following equations by Guass elimination method2x + 2_y + z = 12; 3x + 2_y + 2z = 8; 5x +10y-8z = 10 .

(b) Apply factorization method to solve the equations3x + 2 j/ + 7z = 4; 2x+3 y+ z = 5; 3x + 4_y + z = 7.

4 (a) Apply Gauss-Seidel iteration method to solve the equations20x + y-2z = 17; 3x + 20y-z =-18; 2x-3y + 20z = 25.

(b) Solve the non-linear equations x2 + y = 5; y2 + x = 3; by Newton-Raphson method.

SECTION - III

5 (a) Employ Taylor’s method to obtain approximate value of y at x = 0.2 for the differential

equation —-= 2y+3ex , y(0) = 0 . Compare the numerical solution obtained with the exact

solution.dx

(P.T.O)

Page 44: B.TECH.DEGREESUPPLEMENTARYEXAMINATION,OCTOBER2020 …

(b) Using modified Euler’s method, find an approximate value of y when x = 0.2 , given that

— = x+ y and y = 1 when x = 0.dx

Using Runge-Kutta method of order 4, compute y(0.1) from — = x + y2 , j/(0) = 1, takingdx

/2 = 0.1 .If — = 2ex - y, y(0) = 2, y(0.1) = 2.010, 32(0.2) = 2.04and y(0.3) = 2.09;find y(0.4) using

dxMilne’s predictor-corrector method.

6 (a)

(b)

SECTION - IV

7 (a) The table gives the distances in nautical miles of the visible horizon for the given heights infeet above the earth’s surface:

400300 350200 250x =height 100 150y =distance 10.63 19.90 21.2715.04 16.81 18.4213.03

Find the values of y when x = 160 ft(b) Use Lagrange’s interpolation formula to find the value of y when x =10 , if the following

values of x and y are given:6 9 115x

13 14 1612y

8 (a) Find the first derive of /(x) at x = 0.5 for the data given below using Richordson’sextrapolation

-0.5 -0.25 0 0.25 0.5 0.75 1.0 1.25 1.5x :/00 = ex 0.6065 0.7786 1.0000 1.2840 1.6487 2.1170 2.7183 3.4903 4.4817

(b) 1 1Use Romberg integration to evaluate J dx correct to three decimal places.0Jl + x

SECTION - V

9 (a) The probability density function of a variate X is

0 1 2 3 4X 5 6P( X ) k 3k 5k 7k 9k Ilk 13k

(i) Find the value of k (ii) Find P( X < 4), P(x > 5), P(3 < X < 6)(b) The diameter of an electric cable is assumed to be a continuous variate with probability

density function /(x) = 6x(l-x), 0 < x <1.(i) Verify that the above is a probability density*function, (ii) Find the mean and variance.

10 (a) In sampling a large number of parts manufactured by machine, the mean number of defectivesin a sample of 20 is 2. Out of 1000 such samples, how many would be expected to contain atleast 3 defective parts.(b) In a normal distribution,31%of the items are under 45 and 8% are over 64 . Find the mean

and standard deviation of the distribution.

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Code :13CE2207

B.TECH. DEGREE SUPPLEMENTARY EXAMINATION, OCTOBER 2020

II B.Tech. II SemesterENVIRONMENTAL STUDIES

(Common to ME & CSE)

Max. Marks :60Time : 3 hours

Answer FIVE Questions, Choosing ONE Question from each sectionAll Questions carry equal marks

* * *

SECTION - I

Classify an ecosystem. Explain about different components of an ecosystem.Discuss on structure of ecosystem and describe the pyramid number of grasslandecosystem.

1 a)

b)

What are the major threats to biological diversity in which of these do you feel mostsignificant threat and why?

What are the strategies of conservation of biodiversity?

2 a)

b)

SECTION - II

Write briefly about renewable and non-renewable energy resources.

What are the benefits of watershed management?3 a)

b)

What is deforestation? Describe the effects of deforestation?

List out the impacts on over-utilization of surface water and ground water.4 a)

b)

SECTION - III

Discuss on suitable methods for industrial solid waste management.

What is Noise pollution? Write the effects of Noise pollution.5 a)

b)

Briefly write on effects of air pollution and discuss any two control methods of airpollution.What would the consequences be if the ozone layer surrounding the earth wasdestroyed?

6 a)

b)

SECTION - IV

a) Write about the need for public awareness on sanitation and health.b) What are the major environmental issues? Explain them.

7

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a) Define green revolution and write on industrialization effect on Indian environment.

b) Write the effects of urbanization and transportation on quality of environment.8

SECTION - V

a) Elaborate any one case study on fluorosis in Andhra Pradesh.b) Write the Air (Prevention and control of pollution) Act.

9

10 a) Write on forest conservation act and coastal zone regulations,

b) Write a study report on Silent valley project