USN 1OMAT41

Fourth Semester B.B. Degree Examination, June/July 2Ol4

Engineering Mathematics - IV

respectively. (07 Marks)c. State and prove Cauchy's integral formula and hence generalized Cauchy's integral formula.

(07 Marks)I of2

a. obtain the solution of the equation ,.ffn'', * r* *(*' -.)y : o.dx' dx \ 4)'

1OMAT4l

(06 Marks)

":,' ,,,,, ,

.:,,,, ,i,ii .il

.::

,,,$tlub will have a mean life time (i) between 790 hrs and 810 hrs, (ii) l'ds.s"than 785 hrs,

;a (tii) more than 820 hrs. tO(0.67) :0.2486, O(1) : 0.3413, O(1.33) : 0.40821. . (06 Marks)

,'b"-' A set of five similar coins is tossed 320 times and the result is:

No. ofheads: 0 I 2 3 4 5

Freouencv: 6 2l 72 L12 7I 32lfrYtluvltl,)y. lulLtltLlLLL\tLl)Ll ,(Test the hypothesis that the data follow a binomial distribution. [Given that V305(5) = 11.d7}:q;

(07 Marks)' ,*

c. It is required to test whether the proportion of smokers among students is less than thatamong the lectures. Among 60 randomly picked students, 2 were smokers. Among 17

randomly picked lecturers, 5 were smokers. What would be your conclusion? (oz Marks)

{. ,1. ,. * {.

b. Obtain the series solution of Legendre's differential equation, .^*k_,b\

,,::: (1-*')#-2.*+n(n+1)y=6 tozrrqhiig-,;" ux ux

-,r. ^l,' q. State Rodrigue's formula for Legendre polynomials and obtain the expression for -Fa(!) from'"'''

.,,,,,..-,. it. Verifu the property of Legendre polynomials in respect of Pa(x) ae@ also find

li|'I0.tI x#,. (x)dx . (07 Marks)

-l. .:.... n

...:... ;\G a. Two fair'ffi*=are rolled. If the sum of the numbers obtained is 4, fi&,the probability that the

numbers oblffined on both the dice are even. "

*-t ' (06 Marks)'- 7 - I -

n',b. Given that P(AnP)=u, P(AnB)=;=P(A^B)..P3 that A and B are neither

, IL

independent ,or rn rtuelly, disjoint. Also compute P(A/B)'i p@la) and P(A / B; + f1n t e; .

",,ilo (07 Marks)

c. Three machines Mr, Mz and_M: produces identical items. Of their respective outputs 5oZ,

4o/o and 3o/o of items are faulfylOn a certain piy, tut, has produced 25o/o of the total output,Mz has produced 30oh and Mr @,lS.qaindeL An item selected at random is found to be

faulty. What are the chances that if{g$.,pgddtced by the machine with the highest output?

,#fu *, (07 Marks)

7 a. In a quiz contest of answerinq'Yes'or'Nfl, what is the probabilityof guessing atleast 6

answers correctly out of 10 que$ions asked? Alsp find the probability of the same if thereare 4 options for a correct 6sWer. (07 Marks)

b. Define exponentiat O@llution and obtain the ffiEr and standard deviation of theexponential distribu ' (07 Marks)

c. If X is a norma]; tlidte with mean 30 and standard deviaho,p 5, find the probabilities that(1)26 <X <4&b(ii) X >4s, (iii) lx-301 > 5. [Givethat Q(Qs:0.2881,0(2.0):0.4772,0(3.0):,ffi7;?(1.0) : 0.34131 *'$= (06 Marks)

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Fourth Semester B.E. Degree Examination, June/July 2014

Mechanical Measurements and MetrologyMax. Marks:100

at least TWO questionsfrom euch parl

PART _ AI a. 'Briefly explain: i) International prototlpe metre

.,") ,';' ii) Reference standard

b. What are'diry points? Explain in detail. ,.)i"'ili-. t (04 Marks)

c. Using NPL iittftod, derive equation for calibratrng end stand&L&affom line standards.""'., ,' (08 Marks)

2 a. What are tl. boucepts of interchangeability and'. ielective assembly? Which is

advantageous? ,,:,,. (06 Marks)

b. Briefly explain: i) Go-gau$es, ii) NO-GO gauges, iii),6urrr. tolerance and wear allowance.

USN

3a.b.

c.

4a.b.c.

5a.b.c.

6t:

, (06 Marks)

Determine the tolerance on ffiole-and shaft for a fit designated by 50H7g6; diameter step

50 to 80 mm; fundamental deViatf-on fb$.,,$rft : -2.5 D0'34 in micron; 1T6 : 10i and

IT7 :16i, i : 0.45VD + 0.00lD in miiron State the actual maximum and minimum sizes ofthe hole and shaft and maximum3p+=paimum clearances. (08 Marks)

What are comparators? How do'they differ from measuring instruments? (06 Marks)

Explain the principle of sine b4.1. (06 Marks)

Explain with sketch, the,construction and working of LVDT. (08 Marks)

What is the principle of, interferometry? How is it adoptdd in qptical interferometer?(O6 Marks)

Derive an eipress'ion for the cherdal tooth thickness of geaf^ (06 Marks)

Explain 3-wirefi€thod of measuring effective diameter of scrow ead. (08 Marks)

-,,,,-t', ,ART_B ''', ,.r.,

What isffiiignificance of measurement? "..',,'''*,tr, (04Marks)

Explq,i616. three stages of generalized measuring method using uny ord*xumple. (08 Marks)Differentiate: i) Sensor and transducer ii) Primary and secondary transducer

iii) Accuracy and sensitivity iv) Error and correction (08 Marks)

What is the necessity of modifuing devices? What are the advantages of electrical rrcdifyingdevices?

b. Explain with a neat sketch, ballast circuit diagram.c. With a block diagram, explain the working of an x-y plotter.

a. Briefly explain how pressure can be measured with elastic transducer.b. What are the methods of force measurement? Give examples.c. Explain with a neat sketch proxy brake dynamometer.

Explain the working principles of radiation pyrometer and thermocouple.

(06Marks)(06 Mar($(08 Marks),11;,,,,,,,

(06 Marks)(06 Marks)(08 Marks)

(08 Marks)8a.b. Briefly explain: i) Strain gauge material; ii) Strain gauge factor; iii) Thermocouple material.

(12 Marks)

*{<***

USN MATDIP4Ol

(06 Marks)

(07 Marks)

is irrotational. Find(07 Marks)

5 a. For any scalar function Q show that curl(gradQ) = 6.+

" /-\ /-\b. If F = gradQ ,i:x'+f+22+xyz, find V [nJ

ana o"[u.,J at (1, l, l).

c. Find a, b, c so that i=(x* y+az)i+(x+ cy+22)j+(x+ 2y-z)kscalar function.

I of2

6 a. Find Laplace Transform if t" and hence *a t[,').

b. Find L[e2' cos3t + e-'sin zt + tsin t] .

MATDIP4Ol

(06 Marks)

(07 Marks)q-'

&-, i ':

(o7.Dfiriffi*)

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t;.iHf:

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a'

d" :

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e,. " (07 Marks)

,*h*,*t+ "u ,J

-\#'&. \* (07Marks)r": !.-5

.f 2s2 -6s+#f*] f*:,8 a. Find L-'l ; - ;:; Il ;:-''; l'. ';"'. (10 Marks)Lo vD "1r**]

* t

b. Solve by Laplace transformati:ffi + ? ffi"dy = 4e-3', given y(0) = 0, y'(0; = -1 .&* ih*

0<t<ll<t<2.

t>2

4* . -[e'(cos3t-cost)llk; c. Find Ll ' '1 .:."f,;fu [ t ]

2""st**+ina I-[sint sin2t sin3t].*#*= | t*,l'

b. Fiffi#t)] where t,, =

1,:*'fo+,"t., \-

( ,# a*r-\

c. Find rrlbffiLL "\lsPSJ

*ffi**

2 of2

r

lOME/AU43USN

Fourth Semester B.E. Degree Examination, June/July 2014Applied Thermodynamics

Time: 3 hrs. Max.

#d",h ..'""',=' ll"''"''*l=,,,'.-,,, Note: 7. Answer any FIW full questions, selecting " -'::"":::.'.'.:

.::: - atleast Tll/O questions fro* each part. ri,,o. ' "''5*,,,,,,;, 2. use of thermodynamics a"n i""ii";0.::... ,

" :: .;,.::' PART - A ,.i nt '' r: :: "':""'a. Define: ::.,".., ,, ,,,' :, ",'

iD Enthalpy of ,for,rnation " i

iir) Enthalpy of rdqctioniv) Adiabatic flame f@erature. (08 Marks)The products of combudtion of an unknoplr hydrocarbon C*H, have the followingcomposition as measured by"sh ORSAT apphratus: COz: 8o/o, CO:0.9oh, Oz:8.8Yo,N2 : 82.3olo. Determine:

ii) Air-fuel ratio. :iii) Percentage excess air.

,, , {' ,,, "o"* (12 Marks)

Defive un "ipi.rrio,

f"r;i;-+db.tiur pr.su6 otto cycle. (08 Marks)An air-standard diesel cycle has an compression ratio of 14. The pressure at the beginning ofcompression stroke is 98.1 kPa and temperature is 27PCr The maximum temperature of thecycle is 2500'C. D-eteffirine: i) Temperature at all salient Boints; ii) Thermal efficiency;iii) Mean effect(vp'.freisure. ,jlt.r, (12 Marks)

Explain 'Willan's line method' of determining the friction pow&r'$of,hn IC engine. (04 Marks)The following data were obtained on MORSE test of 4-cylind€I1,&ur stroke SI enginecouplod tb a hydraulic dynamometer operating at constant speed of l500rpm, brake loadwith all four cylinders firing:296N, brake load with first cylinder not firing: 20lN, brakeldad with second cylinder not firing : 206N, brake load with third cylinder not firing :

,_.; ;192N, brake load with fourth cylinder not firing : 200N. Brake power in kW. is ealculated:1,': using the equation BP: WN/42,300, where'W' is brake load in Newton, N-rye$.gf the

engine in RPM. Calculate: i) Brake power; ii) Indicated power; iii) Mechanical effie'ieBcy.(06 Mar&s)

c. In a trial of a single cylinder two-stroke engine, the following observations were made: o'',

Compression ratio: 15, fuel consumption: 10.2 kglln, calorific value of the fuel = 43,89AkJ/kg, air consumption: 3.8 kg/min, speed : 1900 rpm, torque on brake drum: 186 N-m,quantity of cooling water used : 15.5 kg/min, temperature rise of cooling water : 36oC.Exhaust gas temperature :410oC, room temperature : 20"C,specific heat of exhaust gas : l.l7 kJ/kg-K. Calculate: i) Brake power; ii) BSFC; iii) Brakethermal efficiency; iv) Draw heat balance sheet. (10 Marks)

Marks:100

a.

b.

a.

b.

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4 a. With a schematic diagram, explain the working of reheat vapour power cycle and deduce anexpression for cycle efficiency. (08 Marks)

b.

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Steam at 20 bar,360'C is expanded in steam turbine to 0.08bar. It then enters a condenser,.where it is condensed to saturated liquid water. The pump feeds back the water into

,".,, PART-B ,,ii

Derivb.a-n expression for minimum work required by a two stage air co,lnprbssor with perfectinter cofj_ling between stages. - (10 Marks)A single"gtfug, double acting air compressor, required to deliver''l4m' of air per minutemeasured it""lpyS bar and 15oC. The deliverypressure is 7 bdr and speed is 300rpm. Takethe clearance Volurne as 5o/o of swept volume with the corniliession and expansion indexq : 1.3. Calculat€:':i) Ihe swept volume of cylinder; ii)=Selivery temperature; iii) indicatedpower. (10 Marks)

Explain the different methods"of improving the.efficiency of Brayton cycle. (08 Marks)A gas turbine unit receives air at.l bar and SQOK and compress it adiabatically to 6.2bar.The compressor efficiency is 88%. The fusl has a heating value of 44186 kJ/kg and fuel-airratio is 0.017 kg/kg of air. The turbine gfficiency is 90%. Calculate the work of turbine andcompressor per kg of air comprespq{ qqfl"thermal efficiency. For products of combustion,Cp : 1.147 kllkg-k and y : 1.333i 5# (12 Marks)

Derive an expression for CQF, f air refrigerdfiilffi,Estem working on Bell Colemann cycle.

What are the desirable d;i*. of good refrige#s? ' , [3i ffi:[:i

An air refrigeratiop","jflhnt is to be designed according tB the following specifications.Pressure of the-air"at'compressor inlet: 101 kPa, pressdie at compressor exit:404 kPa.Pressure in.- ld chamber: 3kPa, pressure loss in intercooler : 12kPa, temperature ofair at co r inlet : -6oC, temperature of air at turbini inlet : 27"C, isentropicefficie bomptettot :85%o, isentropic efficiency of turbine ='8i

5a.

b.

6a.b.

7a.b.

c.

Sf bompressor: 85olo, isentropic efficiency of turbine ='85%. Determine: i) COPi) Power required to produce 1 ton of refrigeration; iii) Aiitirculation rate per ton

:r"

.,,,, (12 Marks)

o*o

a,::-'Define: i) Specific humidity; ii) Relative humidity; iii) Degree of saturation. (06 Marks)h.; With a neat sketch, describe the working of summer air conditioning system for hot and dry

,..,',:, weather. (06 Mrrks)c. Moist air at 35oC has a dew point of 15oC. Calculate its relative humidity, specific humidity

and enthalpy. (08 Marks)

X,f***

boiler. ;

i) A'ssuming ideal process, find per kg of steam, the net work and cycle efficiency.\',1 "

ii) If the turbine and pump each have 80% efficiency. Find percentage reductfo'n in network and cycle effrciency. . .t'.1i2'Marks)

2 of2

+ BtAJ L L m e o 2 €USN

Time: 3 hrs.

IOME/AUITL44

Fourth Semester B.E. Degree Examination, June / July 2014Kinematics of Machines qh,

Max. Marks:100,,,*l*

Note: l. Answer any FIVEfiuII questions, selecting , '= |.-''

atleast TWO questionsfro* each parl2. Graphical solutions may be obtained on graph sheets or on

answer book itself,13f

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PART-A , ,: ,1

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b.

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Define the -ftllowing : i) Kinematic chain ii) MechhniSmiv) inversions v) Degrees of freedom "i"{';Sketch and explain the working of an elliptical tramrreL Prove that

iir) Structure(10 Marks)

it traces an ellipse.(10 Marks)

b. Explain with a neat sketch, pantograph mechanism. State its applications.c. Explain with a neat sketch, Geneva mechanism.

3 A single slider crank mechanism sfro*nil'ng. q: nas the crank CB : 100mm and connectingrod BA : 300mm, with center of gravity G 100mm- from B. The crank shaft has a speed of7 5 radlsec and an angular acceleration of 1200 ra,ilsec2..Finda. The velocity of 'G' and the angular velocity of AB.b. The acceleration of 'G" and the angular acceleration of AB. (20 Marks)

2 a. Explain with a neat sketch,'orank and slotted lever..quick return motion mechanism.(08 Marks)(06 Marks)(06 Marks)

a. State and prove Kennedy's theorem. (06 Marks)b. Explain the analysis of velocity and acceleration of a piston in a single slider mechanism

,usrng Klein's construction. ,,""'' * (06 Marks)c. ,For a pin jointed four bar mechanism having the following dimensions. Fixed link AD :4m,- Driving link AB : 1.5m , Driven link CD :2.5m, Connecting rod BC : 3m and'trngle BAD

: 600, Link AB rotates at25rpm. Determine using instantaneous centre method. 'i..lrt'.,i) Angular velocity of link CD and ii) Angular velocity of link BC.

Fig.Q3

wise direction using complex algebra analysis.b. Explain in brief Loop closure equation.

t" *uno'"."

PART. Ba. The crank of an engine is 20cm long and the connecting rod length to crank radius is 4.

Determine the acceleration of the piston when the crank has turned through 450 from theinner dead center position and moving towards the other center at 240rpm, counter clock

. (16 Marks)(04 Marks)

I of2

lOME/AU/TIA4

6 a. Derive an equation to determine the length of path of contact by a'pair of mating spur gear.(08 Marks)

b. Two 200 involute spur gears have a module of 10mm and addendum of one module. The

..& number of teeth on pinion is 13 and on the spur gear is 52. Does interference occur? I[,it

7 -. a. Explain with a neat sketch the "sun and planet wheel". (oxf'Marks)

b:.{n an epicyclic gear train, an arm carries two gears A & B having 36 & 45 teeth,respectively.#$e arm rotates at 150rpm in the anti clock wise direction about thecenter of gear'A'wn$dlilfs fixed, determine the speed of the gear B. If the gear A instead ofbeing fixed makes300#sifu the clock wise direction what will be the speed of gear 'Bl. L';, (16 Marks)

"''"""""""' '""

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..............

Construct the profile of *.uml:ia suit the following speiification :

Cam shaft diameter:40mm q +

Least radius of cam :25mmDiameter of roller :25mm ""' '.-,,. jr:'; ri

Angle of lift : l20o^Angle of fall: l50oLift of the follower:40mmNo. of pauses are two of equal hteftal between rnotion. During the lift the motion is SHM.During the fall motion is UARIti['.,The speed of camthaft is uniform. The line of stroke is centreof the cam. .'-.,.

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ra ..,k t*',rP,,,}

.-,.,,1:, ,i..:'

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(20 Marks)

*****

2 of2

lOME/AU45

l?"ime: 3 hrs.

.:t."

USN

2a.

b.c.

3a.b.

Fourth Semester B.E. Degree Examination, June/July 201,4

Manufacturing Process - ll

Note: Answer FIVE full questions, selectingat least TWO questionsfrom euch part.

"::":'""""":

Max. Markq;tO0

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'il...i , PART-A,r t| ,.,.,tL a. With.'fuitable sketches, explain different types of chips produced durqg irtachining.

b. Dir.;; ;F"Gauses for tool failure. ,,,-'; " a"'*t [31 #::B

c. In an orthogdr$el cutting the following observations were madeg'l'":Feed:0.25 mm/revDepth of cut :2 mmWorking rake angle =Oe-

c.

4a.

Chip thickness : O-&*rnm

Length of chip-@-Lc6ntact:0.5 mmCutting fotqg5 F": 1800 N

Axial thrust:900 NDetermine: ,r""'111,,,,,,,,,

i) The mean angle of frictimo,ttool face. .,....,.,.".-';'.,.,,,,,,.''

ii) The mean shear strength of the work mmnrial.iii) The maximum frictional stress,$trtool'face. (06 Marks)

Draw the sketches showing sourc€i,of heat and heat distribution to various elements duringmetal cutting. (10 Marks)

Discuss the effect of temperaturE on hardness for'dif,ferent cutting tool materials. (06 Marks)

List and explain the charqc@stic features of a goffiutting tool material. (04 Marks)

What are the differeace,6etween a capstan lathe and a ttf@t lathe? (06 Marks)Find the time required for taking a complete cut on a plate 600 mm length x 300 mm widthif the cutting 6peetl is 9 m/min. The return time to cutting tiry'ratio is 1:4 and the feed is3 mm. the cl@ance at each end is 75 mm. 1;,,i-_ (06 Marks)

With,suitable sketches, explain the following operations using drilling chhe:i) Trepanningii) Tapping i'n","",

iii) Boring t".-,- ,,

iv) Reaming (l2-S{arks)

Define x, y and z axes on a NC drill machine. (04 Marko)Explain point-to-point positioning control system of tools in NC system. (04 Marks)

PART _ BWith suitable sketches, explain the following milling machine operations:i) Form millingii) Gang milling (08 Marks)

Draw the neat sketch showing all the elements of plain milling cutter and label all parts.(06 Marks)

Name various work holding devices used in milling machine and indicate their uses.(06 Marks)

I of2

c.

5a.

b.

c.

lOME/AU4s

6 a. What are the differences of grinding machine over shaping machine?b. List and explain different abrasive materials used in grinding wheel.c. How a grinding wheel is marked? Describe Indian standard marking system.

d. Briefly explain the constructional features of grinding machine.

(05 Marks)(05 Marks)(05 Marks)(05 Marks)

.r ",,,,

(05$afks)

.. (95 Marks)

"{ *u'

(10 Marks)

(05 Marks)(05 Marks)(05 Marks)(05 Marks)

'{,{,,4,." u. What'is broach? How broaches are classified?*"y{,ib. What are the limitations of broaching process?

='.cn"* Brieflyexplain the following surface finishing operations:

,$|*, Buffingfi{rgolishing

Ld..-wd:!

withsuffipk

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t;, '

8.a.b.c.d.

explain Abrasive jet machining.Discuss the of cutting parameters in USM.What are theList the essential

and'disadvantages of ECM? , \*v"nents of a dielectric fluid ut.6 ffi,BDM.

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lOME/AU46B

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Max. MarkSllOO

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Fourth Semester B.E. Degree Examination, June/July 2014

Fluid Mechanics

Time: 3 hrs.

la.

b.

c.

Note: Answer FIVEfull questions, selectingat least TWO questionsfrom each parl

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i"," PART _ ADefine,,the following fluid properties and state their units: ;+rh

i) SpeC.ific weight ii) Viscosityiii) Surfup.tension iv) Specific volume (06 Marks)

Ciassify ttie'"mr.,s types of fluids with the help of a diagramanrl-bliefly explain them.

''r''r "' , '.=,|:lw' (05 Marks)

An oil film of th c'kness 1.5 mm is used for lubricationib€tween a squa-re plate of size

0.9 m x 0.9 m and an;inclined plane having an anglqef inclination 20'with the horizontal.The weight of the sqrgh,, plate is 392.4 N and it ffides down the plane with a uniformvelocity of 0.2 rr. Utr6l6 amic viscosityo{oil (09Marks)

The measurements of pressure at th€.b,"ase and top of a mountain are 74 cm and 60 cm ofmercury respectively. Calculate thd;ffi6ighJ of the mountain if air has a mass density of

Derive expressions for total pressure and centre of pressure for a plane surface immersedvertically in a static mass of fltiN. (08 Marks)

"*.,r...'' """l' ,-.]!

Define the terms buoyaqqy,'Centre of buoyancy, meta-centre and meta-centric height., '' .!' :{,,,,,-'":: (06 Marks)

A block of wood o,f specific gravity 0.8 floats in water. Deter,grine the meta-centric height ofblock if its size iS 3 rn long,l. m wide and 1 m height. State ther equilibrium is stable orunstable.ts*,ltl;mfuy .quution in cartesian coordinates.

't :' :; [3: ffi:[:]

Derive,Euler's equation of motion for ideal fluids and hence deduce Beliiilbulli's equation ofmdtion. State the assumptions made. (10 Marks)

A pipe line carrying oil of specific gravity 0.8 changes in diameter from'3.0{ m1 atposition (1) to 600 mm in diameter at position(2), which is 5 m at a higher"l€*el. If thepr.ssrr.e at position (l) and (2) are 100 kN/m2 and 60 kN/m'z respectively and d#o6arge is300.tps, determine (i) loss of head and (ii) direction of flow. (ICIMl,ryll

.....

PART _ B ..

5 a. Derive an expression for discharge through a venturi-meter. (08 Marks)

b. State Buckingham's n theorem. (04 Marks)c. The frictional torque 'T' of a disc of diameter 'D' rotating at a speed of 'N' in a fluid of

viscosity'p' and density'p' in a turbulent flow is given by T = O'N'Oq[$-]. frove ttris'LD'Nplrelation using Buckingham's fi theorem. (08 Marks)

I of2

Derive Darcy's relation for a turbulent flow through a circular pipe.

lOME/AU46B

(10 Marks)

Find the diameter of a pipe of length 2000 m when the rate of flow of water through the pipe

is 200 .tps and head lost due to friction is 4 m. Take the value of 'C' : 50 in Chezy's

formula. (10 Marks)

"kt a. Prove that the ratio of maximum velocity to average velocity in a viscous flow of'

1,',{Jr:* through a circular pipe is 2.0. (10 Marks)""r"",t Lubricating oil of ipicific gravity 0.85 and dynamic viscosity 0.1 N-s/m2 is pumped throughr.i:"

u3 cm diaireter pipe. If the pressure drop pei metre length of the pipe is .15 kP"a &termine:ili1'. fne mass flow rate of oil in kg/min. ,,," t"

ti}:,{k shear stress at tlre pipe wall. :,, ''

,

iii) Rayrplds number of the flow and

iv) Tfoppwer required per 40 m length of the pipe to maintain,l,,:.41uW (10 Marks)

8 a. The experi of 50 km/hr on a flatplate of siz e 2 m iong and I m wide. The density of air is,.t t&kg/m'.^- ^:+ ,. - ,_. ,

__ __-_--J

and drag are 0.75 15 respectively. Determine: ' \.::t

i) Lift force *{1 #i

6a.b.

- ,'"{

iii) The resultant force - ''t* ,-tt!, ',

iv) Direction of resultant forc&- ,i"*v) Power exerted by air on plate.

b. Briefly explain, what is meant by bb 4ry layer and hence define,i) Displacement thickness -d*t4-1ii) Momentum thickness ';',11-'1ud

'\*'"'

c. Define Mach number and deri$e. afitxpressioqftE the same.

\l:':""-"'

q"\ **i.rf * ir'

l' r["!Jr" l',,,.jlr''dl'-

-.,.,,.ri,......J

;$. ..

,;-:.'' ::""" -'''......

'.=''l'l':

. I"o,,, ... t,

"' '::""'::i::'' ,'

', :1 4+.4

'p{.

(10 Marks)

(06 Marks)(04 Marks)

j

2 of2

USNIOME/AU42A

(06 Marks)(08 Marks)

its density. Given(06 Marks)

(08 Marks)

(04 Marks)

(10 Marks)

(10 Marks)

(06 Marks)(08 Marks)(06 Marks)

(10 Marks)(06 Marks)(04 Marks)

{06 Marks)(08Marks)(06 Marks)

(08 Marks)(06 Marks)(06 Marks)

Fourth.:::|'

'fidrt: 3 hrs.

Semester B.E. Degree Examination, June/July 2014 ,,,,

Material Science and MetallurgY':i' ::: :r'

Max. tvlarks: iooNote: Answer any FIWfull questions, selecting ' :...

atleast TWO questionsfrom each part.

1a.b.

c.

dao(cLod

(o

(.)Eo

E9(!=g:5yl

5 r.'oo ll

coo.E i.i(o$Hootsooq€gH!o>8zaX

bUcdO

60c

=L}E6-ts5.:? oEsAEtro.6cdoj

o:8ootEaCL0)=ilA.=>, (Ehoocboo=LL9= ilro:

lr<-:c.it!)

ozcokoo.

:.. PART _ AExplairr.'crystal imperfections with a neat sketch.

Define alffi.plon. What are the factors affecting diffirsion?Copper has{S,C, structure and an atomic radius of 1.278'AiQp{culatemol. wt:63.54g1.,,mo1e. ..,ra;,,.:,

a.

2 a. Define the following;',, -'i.

i) Toughness; ii) Yietrd,"utress; iii) Proportionalilirhit; iv) Resilience.b. Derive an expression for cii.tioally resolved shear stress in a crystal structure. (08 Marks)

c. Calculate the resolved shear strqs of a limit eell itr a nickel if a tensile stress of 13.7 MPa is

applied. Given that angle between the axial foice and slip direction is 45o and angle between

axial force and normal to slip planbir-lal:

a. Derive an expression for homogeneous nucleation with a suitable graph.

b. Explain the following with a suftaffiC sketches.:'""

i) Substitutional solid so.h*tbn.ii) Interstitial solid solution.

a. What are the factors affecting the fatigue life?b. Write a short note on the following: i) Ductile fracture; ii) Brittle fracture.c. Draw a creeB curve and explain its various stages.

=-o.tl'.1" PART_B ',**,],

lnt\l -Da. Explaifi; classification of cast irons in detail.b. p,$,"S'iron carbide diagram drawn until6.670/o carbon?c. Uufil. Martensite, Cemantite, Austenite and Ferrite. ,r"'",

='.6 a What are the objectives of heat treatment?

, b. Explain with a neat sketch of Jomony end quench test method.' c. Explain inductive hardening with a neat sketch.

8 a. Explain the classification of composite materials.b. What do you mean by ceramic matrix composites?c. List the advantages and disadvantages of composite materials.

7 a. What is merit by S.G. iron? Explain the structure composition and properties of S.G. iron.(06 Marks)

b. What are the factors affecting microstructure of cast iron? Explain. (08 Marks)

c. Explain the classification of engineering materials. (06 Marks)

{<**rl<*