Physics Stream (2011-July) Question Papers

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First Semester B.E. Degree Examination, January 2011

Engineering Physics

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Notei l. Ansv,er an) FIYEJu questiohs, choosing at leosr twofrom each pan2. Answet all objeclive type questions only in OMR shee, page 5 ofthe answer booklet.3. Ansb'el to objective type queslions on sheels other than OMR will nol be valued-4. Physicat constants : h:6.625 x 11131 J-5, c:3 x ld ms-), m"= 9.1 x LOtl hg,

k =1.38 x 1(I'3 JI(I, €o=8.854 xllJ12 Fhtt'

PART_A1 a. Choose yor[ answers for the following :

i) - Green light incided on a surface releases photoelecftons fiom the surface. If now bluelight is incident on the same surface,the velocity of electronsA) inqeases R) decreases C) remairx same D) becomes zero

ii) Rayleigh-Jean's theory ofmdiations agrce with expe metrtal results for

Time: 3 hrs.

b_

c.

iii) The de-Broglie wavelength of an electron accelerated to a potential difference of 100volts is

A)1.24 B)10A C) 100 A D)t2Aiv) The wave rratule associated wili electrons in motion was verified by

A) all wavelengthsC) longer wavelengths only

A) photoelectuic effectC) difftaction by crystals

State and explain de-Broglie's hypothesis.

Find the kinetic energy and group velocity of an0.2nm.

A) at the cente ofthe wave packetC) catnot be determined

B) shorter wavelergths oDlyD) middle order wavelengths only

B) comptor effectD) Ramon effect (04 Mrrks)

(04 Mark)Define phase velocity and group velocity. Obtaia the relation between goup velocity andparticle velocity. Obtain rhe exprcssion for de-Broglie w qsing group velocity.

2 a. Choose your answers for the following :

i) The uncertainty in the determhatior of position ($).**,,n"uncertainty in the deterrninatioo ofits momentum is

^)% D% c) %ii) The probability oflocating a particle is maximum

D)3

B) at the nodes of the wave packelD) none ofthese

(08 Marhs)wavelength of

(04 Mark)

D)256 eV(04 Ma*s)

iii) In Davision and Germer experiment, wher 54 volts was applied to electons, theprcnounced scattering direction was found to be atA) 90" B) 120" c) s0" D) none ofthese

iv) The giourld state energy of an elechon in an one dimensional infrdte potenlial well of

width 2 A is 16 eV. Its energy in third excited state isA) 32 eV B) 64 eV C) 144 eV

l of 4

2b.

d.

I0PEY12'

State and explain Heiselberg's uncertaiaty principle, (0a Marks)

Find the eigin value and eigen functions for an electron in on€ dimeisioml potential well of(08 Marks)

in the excit€d state dudng the excitation and

liBe of wavelenglh 546 nm-and width 10-ra m is(01Marks)

infmite height.Estimate the time spent by an atom

de-excitation processes, when a spectmlemitted-

A)l

%. T\e $obability

D) U (o4.rrnrks)

electron theory of(08 Marks)(04 Marks)

eV above the Fermi(04 Marks)

b.

c.

d.

B) AC voltageD) none ofthese

iv) The relative permeability for diamagnetic materials is

A) slightly greater than one B) zero

3 a. Choose your arswers for the following :

i) The mobility of electrons in a conductor is 4 x 10-3 m2Vrs-l. Then the &ift velocity ofthe electloo in the presence of applied electric field of strength 1 00 vm-l is.ql+.ri ' B) loms:r c.10.4ms'r D)004ms-r

ii) The classical value ofmolar specific heat of a co[ductor is

A)lR B) ;R c)3R or lniii) The Fermi energy ofa metal at absolute zero temperature is proportional to

A) rl B) n% C) n% D) n'where 'n' is number offree electrons per unit volume.

i") At 50I! the probability of findiog an electron at Fermi energy is

offindiflg electon at the same energy level at 100 K isB) zero ct Y4

Obtain the expression for electical conductivity on the basis of fieemetals.Explain Fermi energy ald Fermi factor.Calculate the probability of ar electron occupying an energy level 0.02level and 0.02 eV below the Fermi level at 200 K.

a. Choose your answers for the following :

i) Choose the correct relalion:A) E=eu (e, l)P B) D=eo (e, -l)E C) P=e, (e. -l)E D) e.=1-l

ii) ElectronicpolarizationA) decreases rvith increase in temperature

B) increases with temperature

C) is independent of temperalure

D) may iacrease or decrease with temperatueiii) Hysteresis loss occurs when the mag material is subjected to

A) DC voltage

C) both AC and DC voltage

C) less than one D) very much greatd than one (04 Marks)

b. Obtain the expression for intemal field in solids. (08 Marks)

c. Distinguish between hard and soff magnetic materials. (05 Mark)d. Find the polarization produced in a crystal by an electric field of stenglh 500 vmm-r if it

has a dielectdc constant of6. (03 Marks)

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D)20Kfield is reduced below

PART _ B

5 a. Choose your answers for the following:i) Rate ofinduced absorptioo depends on

A) nulnber ofatoms in lower eoergy state B) the elergy-d€nsity

Cj number ofatoms in higher erergy state D)bothAatrdB'ii) Iu semiconductor laser the maredal used is

A) any semiconductor B) direct band gap semicondctor

i) indirect band gap semiconductor D) no1 a semiconductor'

iii) Tie required condition to achieve laser action in a system is

A) state ofpopulation inversion B) existence ofmetastable Jtate

C) a resonant cavity D) allthe thxee

iv) In recording the image on the photographic plate the reference bean and the object

beam undergo ---- at the photographic plale'

A) difftactio-n -- Bfiflectio, - -

C) i"tetf"t"oce D) polarization - .(04 *larks)

b.


i) The crilical temperanfe ofmercury is

Explain the construction and working of He-Ne laser, with the help of sritable diagrams rks)

Metrtion the applications ofholography. .. (04 Marks)

Th" ur"rug" o,rprt po.". of laser-source emitting a laser beam of wavelength 633 nm is

S mw. f ;ia tle num'ler of photons emitted per second by the lascr source (04 Marks)

c.

d.

c,

d.

A) 4.2 K B) 6.2 K c) 7.8 Kii) Tire temperature of a superconductor kept in a weak magnetic

critical temperature, thenA) R=0;B +0 B)R*0; B=0

iii) The numerical apertde of an optical fiber

B) 0.24 c

c)in

D)R:0; B=0ical ap€rture

) 0.96

medium(04 Mrrks)

(04Marks)

D)([=B--y*90"

D) 26

D) none ofthese

D)(rll)(04 Marks)

1n

water (n,, = f) is

A) 0.43iv) Graded index fiber can be

A) single mode fiber onlY

C) both single mode and multimode

b.

Find the numerical aperture and angle of acceptance.


i) The relation for angles between a-xes of a ticlinic crystal is

A)cr=p=v=90" B)o'*p*y=90" C)o*p+v+90"ii) The coordination number for a face centered cubic lattice is

A) 12 B)8 c)6iii) The packing factor offcc structue is

A) s2% B) 68% c) 92%

rv) The Miller i[dices ofthe platre parallel to t]rc x and y axes are

A) (1 00) B)(0 10) c)(001)

Define the terms : i) angle ofacceptance ii) numedcal aperture.

iii) ftactional index change iv) modes ofpropagation (04 Mark)

Explain BCS theory of supercotrductivity. Wdle a short note on Maglev.vehicles (08 Mark)

ih'e refiacrive indices ofcore and clad<ling are 1.50 ard 1.48 respectively in an optical fiber.

B)D)

3 of 4

7b.c.

d.

8a-

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Derive an expressiou for inter planar spacing in terms of Miller indices. (06 Marls)Define packing ftaction. Calculate packing ftaction for sc and bcc structures. (06 Msrks)

Inter planar distance for a crystal is 3 ,4. and the glancing atrgle for second order spectoum

was observed to be equal to 10o30'. Fitrd the wav€length olthe X-rays used. (04 Marts)

Choose your answers for the following :

i) In a carbon nano tube, the bond betwee[ the carbon atoms isA) metallic B) iooic C) hydrogen D) covalent

ii) Fullerene isA) a sheet of carbon aloms rolled up into long tubeB) sixty carbon atoms ananged in the shape of a footballC) one dimensional aray of atomsD) three dimensional aray of atoms

iii) Ultrasonic waves arc sound waves havilgA) velocity greater tian 330 ms'r B) velocity lesser than 330 ms l

C) frequercy geater than 20000 Hz D) ftequency less than 20000 IIziv) The t,?ical size ofnano matedal is betweetr

A) 1-10om B) 10-50m C) 1-l00nm D) 1 1000nm

What axe oano matedals? Explain carbon nano tubes and their physic"l ,."r"rri"JoilffiT,lb.

few applications ofcarbo[ nano tubes. (08 Marks)c. Explain the principle and method of nondesauctive method of testing of material using

ultrasonics. (oE Ma*s)

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Time:3 hrs.

A) move with same speedC) move with same kinetic energy

A)0 B) 0.2s

B) move wiih same momentumD) none ofthese

D)-

D) 0.1

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Max. Marks:100

D) 0.04m(0aMark)

c) 0.s

B)0.0115n C)0.024m

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First/Second Semester B.E. Degree Examination, June/July 2011_;Engineering Physics

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Notei l. Aksi'et any FIW fut questions, choosing at leasl ttoo from eoch pqrt.2. Ahsy'et all objectire qtpe questions only in OMR sheet page S of tie answer bookla.3. Ansn'et to objective qrpe questions on sheets other tha; OMR wilt not be vatued.4. Physical constants : h:6.625 xl(lia t-5, c:Jxldms't, m,=9.1 x1O31 kg,

k =1.38 x t (fri JKt, €o= B.BS4 x tOi, Fnit.

PART-A1 a. Choose your answers for the following :

i) In Complon Effect, the wavelength ofthe x-rays scattered at an angle 0 > 0.A) iocreases B) doesn,t change C) decreases D)none ofthese

ii) Ke, Kp artd Ko an lEspective kinetic eflergy ofan e, a proton and cr - ptuticle ofsamede-Broglie wavelength, then

.... 9S'&'K' B)&'Kp<K" C)K<Kp<K" D)K=Kp=K,iii) The heavier ofthe particles has smallest de-Broglie wave length when both ofthem.

iv) Matter waves are not electomagletic waves becauseA) they move with variable velocity B) depead on charge

,__ C) move with corstad rclocity D) rcne of these (04 }Iarlls)What are the basic postulates of quantum theory of radiations? Explain how planck,sovercome the drawbacks ofweins law and Rayliegh Jean,s law. (06 Mark!)Define gr_oup and phase velocity. Derive the expression for de-Broglie wavelength usinggroup velocity concept. (06 Mrrks)Cô.mpute the de Broglie wavelength for a neutrou moving with one tenth part ofthe velocityoflight. (04 Marls)

Choose your ansuers for the following .

i) An electron is moving in a box of length a; if y, is the wave function at x = 3with4

n= I and Vr2 atx =a forn= 2, then I: is

B)11 cr o2

ii) For_a particle in an i[Enite poterfial well in its l,t excited state, the probability offinding the pafticle at the center of box is

iii) To become a nuclear constituent, the K.R of e must be ofthe order ofA) 20 MeV B) 2 MeV C) 20eV D) zeroiv) An electon has a speed of 100 ur/s accuate to 0.05%. The uncertainty in its positionts

A) 0.01m

b.c.

d.

What is a wave filnction? Explain the properties ofa waYa functio&

IOPHY12D2

(04 Marks)

Dedve the expression for energy eigen value for an electron in potential well of infiaitedepth. (06 Marl6)A quantum particle confiued to one-dimeruional box ofwidth'a' is in its first exerted state.

What is the probability offinding the particle over an interval of (:) marked srmmeticallr

at the ceBtre of box.


i) Ifthe mobility of E in a metal increases the resistivity

(06 Marks)

C) pcrJT D) poT

C) E>Er D)E<Erthe Fermi temperatue of the me,tal is

C) 1.6 x los k D) 1.6 x 106 k(04 Marks)

A) decreases B) increases C) remains constant D) none oftheseii) The tempelatwe dependence ofelectrical resistivity ofmetal is

A) p"+

A)E+ErtO If the Fermi energy

apprcximatalyA) 1.6 x 103 k

B)p"#iii) Zero percentage probability is the probability for E to occupy the energy level above

the Fermi energy ler el atT'0kisB)E=EIof a metal is L4eV,

B) 1.6 x 104 k

b. Discuss the various drawbacks of classical ftee e.lscton Aeory of metals. What are theassuilptions made in Quantriu theory to overcoae {ra ws? (06 M!r}r)Explai! d@sity of slates? Derive the expression for r,i.rtrt io{l *al}du0tivit--v io temrs of meall

#"#^lfri;, potassiri'. is 2.lev. whar are the . m6ier fnr ,\tuch the ,.ro"l1tr"f.',oc.up&cy at 300 K are 0.99 and 0.5? (04 Me*s)

4 a. Choose your answers for the followiag :

i) For fenomagnetic substances, the Curie-Weise law is given by

at r=! gr \,/ =-L 61 ,=l-oT T_E Cii) Clausius-Mossotti equation docs not hold for

c.

d.

b.

c.d_

Dr cT-0

A) gasses B) liquids C) crystalliue solids D) none oftheseiii) The Ferro electric matedal losses spontaneous polarization at

A) room temperatue B) 0 Krv) In hysterisis, polarization

A) moves with the electric field

C) TCK D) 100 K

B) lags behind electric filedC) ahead to the electric field D) oone ofthese. (04 Marks)

Explain the teflr intemal field. Derive an expression for intemal field in the case of onedimensional allay of atoEls ill di-eleotric solids.Derive Clausius-Mossotti equation.Sulphur is elemental solid di-elecaic whose di-electdc cotsta t is 3.4. Calculate theelectronic polarizability ifits density is 2.07 x 103 kg/ot3 and atomic weight is 32.07.

(0s Marki)

(07 Marks)(04 Mark!)

2of4

1oPHY12l22

PART - B

5 a. Choose your aoswers for the following :

i) Wavelength of a laser beam can be used as a standard ofA) time B) tempemtule

ii) Image is stored on a hologram in the form ofA) interference pattemC) photograph

A) absorptionC) absorption and emission

6 a, Choose yoDJ ar:*irers fer ti.. follo\liDg :

i) The cord: ,i1:yiil a! a st,tc.,cri1d.Jrtor isA) infir'1r

C) argle D) length

B) diffraotioo pattem

D) aone of these

B) emissionD) none of these

iii) Which event is likely to takes place, when a photon of energy equal to the difference

in energy betwee[ two levels is incident in a system

iv) Quartz plates arc fixed at the ends ofthe discharge tube in a He-Ne laser so that

A) there won't be leakage ofgasB) the tube can withstand high eleclric voltageC) the loses light can pass out without any loss

D) the emergeucy light is polarizedExplain the requisites atrd conditio$ of a laser system.

(04 Mrrks)(05 Mlrks)b.

c.

d.

Describe the principle and working of LIDAR used to measure pollutant in abrosphere.

Find the member of mode of standing waves and thefu ftequencycavity of 1m length of He-Ne operating at a wavelength of6

(06 Marks)sepaxation in the resonant

(05 Marts)

) none ofthese

b.c.d.

ii) The rel.riaq bei.aeec superconductirgweight (p) of isotope is

(Tg) and alomic

A)Tccrp B) Ao1p C; f.o.,,[ O, f"oIvlt

iii) If optic fibre is kept in a medium of R.I. p (> I ) instead of air, the acceptance angle

A) increases B) decreases C) remains constant D) none oftheseiv) In graded index fibre, the R.I, ofcladding vades

A) exponertially B) linearly C) parabolically D) noae ofthese(04 Mark)

Discuss t)?es of optical fibres ard uodes ofpropagation using suitable dia$am. (06 Marks)

Distinguish between q?e- I and rype - II superconductors. (05 Mark!)The angle of acceptance of an optical fibre is 30o when kept in air. Find the angle ofaoceptarce when it is in a medium ofR.I. 1.33. (05 Marks)

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i) Four types ofBravais lattices are obtained inA) rhombhohedEl system B) orthorhombic systemC) triclinic system D) mo[oclinic system

ii) In BCC structure, the packing density ofcrystal is equal to

,)*or* C)I,8

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1 a. iii) Which ofthe following has geatest packing fractionA) simpie cubicC) face centred cubic

B) body centred cubicD) all have equal packing ftaction

b.

iv) The space lattice ofdiamond isA) simple cubicB) body cented cubicC) face ceotr€d cubic with two atoms/unit cellD) face centred cubic with four atoms/unit cell (04 Mark)

With a neat figul€, explain the stluctrre of diamond ard show that atomic packhg factor ofdiamcnd is 0.34. (ro M"rks)

Calculate the glancing angle of the (1 l0) plane of a simple cubic crystal (a = 2.814 A )

coresponding to secord order diffraction maximum for the x-rays of wavelength 0.710 A.(06 Marks)

Choose lour ar:swers for rhe following '

i) The slate ofmafter around ihe name - size is known asA) solid state B) liquid stateC) plasma state D) rnesoscopic state

ii) The ultrasonic waves are delected by

8a.

iii) A constant testing ofproduci without causing any damage is called

A) electromagnetic inductionC) piezo electric effect

A) milute testingC) tron-de structive tssting

iv) The ftequency ofulhasonic waves isA) < 20 kIIz

B) tuning forkD) i[verse piezo eleclria eflecl

B) destruclive testingD) random testing

B) between 20 Hz ad 20 kHzC)>20W12 D) rcne of these (04 Mnrks)

b. Describe a method for measurement of velocity of ultrasonic waves in a iiquid and mentionhow the buik modulus of the liquid could be evalualed.

c. Write a note on carbon nano tube. Discuss the various quantum structures.(08 Marks)(08 Marks)

4of4

B) -40e6y

c) zERo

c) (32)y

D) None ofthese.

D) None ofthese.

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(04 Marks)(06 Marks)

containing xa.(05 Marl(s)(0s Mark)

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First Semester B.E. Degree Examination, January 20llEngineering Mathematics _ I

Time: 3 hrs.Note. L Answer dny FIVE full questiorrs, choosing st least tterTro- no", fii.*'*"'O"I'OO

2. Anfl,er dlt objective qtpe questions only oi gMR sheeipag. 5 ofihe aaswer booktet.3. Answer lo objecrive lype questions on ihee* other than O"MR ilt not be valued-

l a. choose the corect answer: PART-A

i) If f(x) is cortinuous in [a, b], differentiable in (a, b) and (a) = tlb), then there existsC €(a, b) such thar f(c) : O.

. A) unique B) infinite C)alleastone D)nosuchii) The Maclaurin's series of fix I l(conslant) is,A) t{x) = k B) f(x) = 0 c) does no1 exist D) f(x) = k!

iiil The nd derivarive of f,;,(x+2)

^. (-l)'(n +2)l _. 1t1r- t'l)

-

2l(x+2)^*' lx+2),*1iv) The I 2t derivative of y = etr* .in

"[" i,

tt) (6t)y

b.

c.

d.

2a.

Ifx = tan(log y), prove thar (1+x2)y,+1+ (2nx - t)),, + n(Il _ t)y" r=0Expad log(sec x) by usiag the Maclaurin,s series eipansi

State and prove the Lagrange,s mean value theorem.

Choose the corect answer :

i) Wlich statement is tlue?0"o

A) - . -. co - co. o\co are not irdeterminate B) 00.

C) i' is rlot irdetemimte D) None ofthese.i, The angle between r = asin0 and r = bcos0. is

....!"D B)r c)-nniii) The radius of a curvature in the polar form is,

A) tLf4-r' + 2rr" - tr.,

. Lim ,t-1*lv) - - is.x-+0 5'-6.

o, logt 2/3)' 109(5/6)

fr,'+1213/'tt + lt' -t\

f, <le) togl i-i i

LJ 6]

c) E1'' I"r'+2rrr,-n,

D) None ofthese.

D) None ofthese.

D) Nooe of these.

(04 Marks)

B)

"r,.rfX]

c.d.

Eraluare: i) Lim sinxsin rx ..\ Lim I z- +:, +q, ) '

g;*""*:;1,.",il',,*.","J,*ll m;] ::,,:;Find the tadius ofcurvatue of a2y =x3-al at the point where ttre curre cuts x_axis.(os Marks)

1of4

(rfqry'-<,/ \_e.':f cri.rrru;. liitli- :-lsrun; ;1{\a\

3 a. Choose the conect answer :

i) If u = ax'z + bf + ab-ry, tt "n ={} i,

Ax'AyB) a+b + ab C)abA) Zerc

ii) The Talor's series off(x, y) = xy at (1, 1) is

1OMATl1

D) None ofthese.

B) 1 + (x- l) + (y- 1)l + (x- lxy - 1)lD)'None ofthese:

iii) The Jacobian of hansformation ftom the Cartesian to polar coordinate system is,

A)l B) lcosO C) lsin0 D) Non€ ofthese.iv) Ifu = f(x, y), x : $(t), y = y(t), then du/dt is,

,o,r didi*d'dv B) 9x+gI cr to&*&dY

D) Nore ol lhese.'dxdl dy dr 'dr dr '&dt aydl

b. 16 rin , = Ili . "1ro*

1ru1 ^4*u4=31*ux+y Ax'd11rr= II,, = E 614y7= I3,616r =19,v,w].'z x y- A(x,y,z)

(01Ma*s)

(06 Marks)

(05 Mrrl(!)

If the H.P. required by the steamcr varies as the cube of the velocity and the square of thelengtlL find the percentage chaage in H.P. for 3% and 404 increase in velocity ard lengthrcspectively.

4 a. Choose the correct atrswff :

i) The $adienl, divergence, curl are respectively. A) scalai, scalar, vectorC) scalar, yector, vector

rr) V =y'z r+z"x J +x'yk ls

A) constant vector B) solenoidal vector

PART. B5 a. Choose the corect answer:

i) The value of [sir'xcosuxdx is0

B) vector, scalar, vectorD) vector, vector, scalar

(05 Mark)

b.

c.d.

D) None ofthese.iii) Curl grad f is.

A) grad curl f B) curl grad f+ grad curl f C) zero D) does not exist.iv) Ifthe cuvilinear system is spherical polar coordinate system then the radius veclor R is

A) rsinOcosOi+ rsin 0singj + rcos0[ B; rsin0i+rcos0j-+r[C) i+ j+k D) None ofthese. (01Marks)

lf g=x2+f +*arrd F=r'i+y'j+r'f , then frnd gradg, divF, curlF. (06 m'rk)Prove thal divCurlF=V.VxF=0. (05 Mrrk)Prove that the cylindrical coodinate system is orthogonal. (05 Mrrks)

1') pry dx B) I2d dy

C) scalar

Q J2zrYos

2o{4

D) f2rrx ds,J

5x3xl' 11x9x7

til * +f =xzf is symmetric aboutA) x-axis B) y-axis C) the line y = x D) Att ofthese

iii) Surface area ofa solid ofrevolution ofthe curve y : f(x), if rotated about x-a,\is, is:

A.v) + )YAv)B) -.-:: : C) -" "- D) None orrhese.llx 9 2 ' llx9x7

iv) Aslmptote to the cuve f(a - x; = )(3 i5

A)v=o B)x=0

lOMATlI

D) None ofthese.(0{ Marls)

(06 Mrrl(3)

C)x=a

b.

6a.

ta,

d.

l--o tEvaluate l-dx.cr>0.j log x

rl2

Derive the reduction fomula fo! Isin' x dx .

0

Compute the perimeter ofthe cardiod r = a (1 + cose).


. / d.y l,i) For the differenrial .Ouurion [6d.)

respectively areA)2,6 B)3,2

-. dv v ,11) --: +1=0 lsdxx

A) Variable separable and homogeneous B) Linear

A)Addirgtworows B) Adding

(05 Mrrk)

(05 Mark!)

.,(#)".,="., *" order and degrce

D) None ofthese.

D) All of these.

D) None of these.(04 Marks)

(06 Marks)

(0s Mrrks)

using the differcntial(0s Marks)

D) None ofthese.

c)2.4

b.

c.

d.

C) Homogeneous and €xact D) All ofthese.iii) ydx - xdy = 0 can be reduced to exacr. ifdivided by

A)x"'t' B)f C) xyiv) Onhosoral haiectorv oft' = 4a(x I a) is

l'1 xr'= la 1y i a1 ' Bjx':+f =a2 C) Selfonhogonal

solve: (1 + f)dx + (x -"-* '')dy = 0

Solve: (y'e'' +4x3)dx +(2xyev' -3y'?)dy = 0

Find the orthogonal trajectory of the cardiods r = a(l - coso)

equalion method.


i) Which ofthe following is not an elementary

A)3 B) 1 c)2iii) The solution of the simultaneous equations x + y = 0, x -2y = 0 is

A) only trivial B) only unique C) unique aad aivial D) None ofthese.iv) Wlich of the foltowing is in the normal form?

D) A11 ofthese.

[rool [rooletr=l orol B)B-l orol oc

Loool Loo,.]

10000100001000010000

,f'e*qluB4gsrr: r"i

a,hil;,C) Multiplying a row by a non-zero number D) Squaring

fr 23"lir) Rank of (he matrix A "12 4 6l is

l, u ,]

3 of 4

(04 Mrrks)

9t 92 93 94

92

93

94

95

96

97

98

IOMAT1 I

(06Mark)b. Find the rank ofthe matrix

Solve, using the Gauss-Jordan method.x+y+z=9; x-2y + 32- 8;

95 96 9't 98 99c- For what values of i, and p , the following simultaneous equations have i) No,solution ii)

a uaique solution iii) an infinite number of solutions?x+yt..6t xt2y t3z=lo x+ 2y + ?,2= y.

93 94 9s

94 9s 96

95 96 97

4of4

d.

8a-

c.

2x+y -z= 3.

(0s Marks)

(0s Marko


i) The eigen values of the mat ix A exist, ifA) A is a square matrix B) A is singular matrixC) A is any matrix D) A is a null matdx.ii) A square matrix A oforder 'n, is similar to a square matrix B ofthe order ,n, if

.... 1)+:p^'pp B)AB=Nuumarixc)ÂB=r;;a;ix;iNi-*Lr,l,"*.iii) Which of these is in quadraric form?

a|tx2t f +y2-2yy -yL-n Btxr+l rl( ) (x y + z)' D) None offtese.

iv) Quadratic form (X'AX ) is posirive definirg itA) All the eigen values ofA are > 0 B) At least orc eigen value ofA is > 0C) A11 eigen values ) 0 and at least one eigen value : 0 D) No such condition.

Find the eigeu values and eigen vector coresponding to t}te largest eig"" "ulr" "f

,loJX;H[Ir]lIIA=11 5 ll roo marrsl

L3 1 rlf-r I rl

IfP = I 0 - I 2

| is a modal matrix ofthe matrix A in e.No.8(b)rand inve$e ofp is

L1 I rlf-3 o 3l

^-,1^^-l-r I t - 2 I J. therl transfbm A in to diagonal form atrd hence fir1d Aa. (05 Marks)lr 2 )lFind the nature of the quadratic forms for which corresponding eigen va.lues of thecorresponding matrices are given asven as

Matrix Eigen values2,3,4

Bc 0,J.6D 0, -3, -4E 2,3, 4

(0s Ma*s)

First Semester B.E. Degree Examination, JunelJuly 2011

Engineering Mathematics. --'lTime: 3 hrs, Max, Marks:100NoteJ.Answet FIVE full queslions choosing at leost two fiom eail+Nrr.

2ulnswet all objectlve tlpe questions onl! ln OMR sheet page't*df the Ansv,er Booklel.3.An$,et to obJective q)pe questio s on sheels other thqn Anl*rotll fiol be valued-

O6MAT11

.D) Zerc (04 Marks)A)1

EE

E

,l9:6"!5d

:ET

ES

Ei

=.9aE

;r

5.c

; .r'

-c

z

E

I a. select the conect answcr: PART-A

i) lfY = u" t1l"n,n tA)m loga.a* B;(m loga)".atr

ii,) The nd derivarive ofsin(ax + b) is

- n?rA)a"sintex+h+-)2'C) a' sinrax + b + il l

2

iv) Ifx=rcos0, y=rsinO, then ffi,r.0*ro

Atl0, -0zl=-l B)r=(1 -coso) c) rarl$=# ,, i=i-b. Find the nh derivative of y = e* siu(bx - c).c. Ifyr'' y-'t^=2*, prove lhat (xr'1)yn-2 r(2n-l)xy,*r t- (n2 m2)y" 0

d. Find the angle berween lhe curves r -

-a

*a , - -l = .1+ cos 0 I -cosg

' 2 a. Select the corlecl answer:

3)ui) Ifu=xY, ther -

js equalrooxoy

A) xx-r(ylogx + l) B) xv-r(yloex + l) C) xrr(xlogx+ l) D) xv-'(ylogx - 1)ii) Ifu be a homogeneous function ofdegree n il1 a ard y then

.. au au -- au au au au au AuA) X-+V-=n B) X-+V-=n- C) x_+v_.=rnu t)) x_-v_=nu' Ax'Ay ax'Ay Ax'Ay Ax'Ayiii) Ifu=x2+ 2;y-f -x +y then "q*yQ lr.Ouu1ro

C) loga.a" D) (m loga)2.a'*

B) a'? sin(ax +'b,+ T)D) a' sir(a'+.bxl+ T)

iil) If $ be the angle between the radius vector and lie tangent,at ary point of the curve

r = (0) then,

At coro=40 B) rand=r@ c) tano-!9 D) None ofrhese.'drdrdriv) The Pedal equation in polar coordinate system is

A) 2u B)u C) Zero LD) None ofthese.

I fdr\'r (ae]

(0a Marks)(04 Marks)(06 Mrrk)

(06 Marks)

B)r C) 1/r

b. If u=x'zlan r(y/x)-y)lan-r(x/y).sho*trru, -a'l =

*1-yloxdy x'+y'

l of 4

(04 Mnrk)

c.

d,

lf u=x2-l,r '2xy and x = r cose, r = rsino. flJrd ffi.

O6MAT11

(06 Mrrkr)

In estimating the cost of a pite of bdcks measued as 2mx15Bx1.2m, the tape is stetched

l% beyond ihe standard le;$h. If the count is 450 bricks to 1 cu.m and bdcks cost Rs 530

per 1000, iurd the apprcximate enor in the cost, (06 Marks)

3 a. Select the correct answer :

i) Jsin'xdx is equal to

c.

d.

4a.

D) !I"_,n

D) None of these.

D) No asymptotes.

e) 4r.-,o

s) 4r*,n

c) I1r",,n

ii; Jsina

xcos'] x d,x is equal to

A)*iii) The curve flza-x1=x3 is symmetrical about the

A) y - axis B) x - axis C)xandyaxisiv) The asymptote for the curve r = a sh30 is equal to

B) e :30 c)0=0

B)--L' 1),c)a'i2 Dx

b.

A)e=a

Using the rcduction formula, evaluate Jtan' x ax

tf nisaposirive integer. sho\ that J*"Jz*-'.'*=fi5h , "0

Trace the Leminiscate *y'? = * <* -*l

(01Mrrks)

(04 Mrrk)

(06 Mrrks)

(06 Marks)

Find the volume of the solid gercrated by the rcvolution of the cardioidabout the idtial line.

l-*o rEvaluate l:----:dx - d> 0-j logx

PART-B

O6MAT11

r=a(l + cosO)(06Marks)

(06 Mrrks)


i) rhe order ofthe eouutio, L*ldY )'l =.'i4)' ,"L \dxr I \d*'i

A)1

A)P>0

B)2

B)P<1

B)1"<1

(04 Marks)

(04 M'rks)

(06 Marks)

c)3 D) None of these.ii) The standard form ofa linear differential equation ofthe first order is

ar $r y-P Br S+Py=q ct $-ey=r Dr 9+ey=edx'dxdx'dx-'

iii) What is the value 01 !Y. 1o, 1r.61l6r"orial equation

(t r- zxy cos x' * zxy)d* * (.io *' - r')ay = o

A; 2x cos x2 - 2x B) 2y cos x2 - 2x C1 2x cos x2 - 2y D; .2x cos x2 - 2xiv) The differenlial equarion ofthe family f - 4a(x r aJ is

o, u'-dY[*r1,dv)- d*\ 2'dx)y,_2vdyfx+l,dy)- 'dx\ 2'dx)dyldx = e3*

2Y +1'zg-rr

dv

d;+xsrnry=x cos'y

u', r' -, dv f* *1u dY )' - dxt 2' dx)

or ,'=zut(**ulll'd*( 'd*)

d. Find the orthogonal trajectories of the family of confocal conics { * J- - t , *n"." l, "- a' b'+).

the paiameter.


.l1li) I he series f;

. ,J* T* converges if

c)

b. Solve

c. Solve

C)P> I D)P<1.

(06 Mark)

ii) h a positive tem series Eu. , if "t]-.y

= ^

, *"" the series diverges for

A)i"> I c)?"=1 D)1,<r.

iil)rhe itermo.he"r_ [i_?)'.[i_i)'.[$.i)'. .-,.

"1..#-+] rlg#.+]' "lq+,+]" r[-*]: +]

)71<lv) lhe senes , - -+--

-. r......... is'l'.2',3'.4',A) Cooditionally convergent B) Absolutely convergentC) Divergent D) None ofthe above.

3 of4(04 Marks)

h Test the converaence of the series --L , -l | --L+...." t.2.3 2.3.4 3 4.5

2n -l

c. Discuss the natwe ofthe series 1*lr*i]l'*'*f 1l x3+....."o (x>0) (06 Ma*s)2 3 i.4l \5,

d. Discuss the absolute cotrvelgence 'and conditional coflvergence of the series

5 '7 9 ll (06 Marks)246I

7 a. Select the corect arswer :

i) If 1, m, n be the diection cosine of the nomal to the plare, then the nomal folm of the

equation ofthe plane isA)ln+my+nz=o B)h+mY-nz=PC) ln + my + nz = p D) None ofthese.

ii) Slmmetri;al form of the equations ofthe staight line thrcugh the point A(x1, y1, z1) and

having diection cosines 1, m, n are

A) \-x ryi - /-2, B) !,th = )+)-=3Jl

lmnlc1 I:Jr -.I l=z zr D)lx+my l-nz 0.

Ix mv nz

iii) The equation of any plaoe thrcugh the la" ? = ? = ? *A) a(x - xD + b(y - y1) + c(z - 21) = 0 where al + bm + cn = 0

B) a(x + xr) + b(y + yr) + c(z + zr) = 0 where al + bm + cn : 0

C) (x + x1) + 1y + y,)+ (z + zr) = 0 where al + bm + cn = 0 D) None ofthese.

i\ ) A noinr on rhe lin" **l- Y l= 1 i,2 3 -lA) 0, 6, 1) B) (-1, 6, -l) c) (1, -6, 1) D) (1, 6, -1) (04 Mark)

Find the equaiion of the plane which passes llrough the point (3, -3, 1) atrd is parallel to the

plane2x+ 3y + 52+ 6=0 (04 Mark)

c. Show that tlrc lines g=-l:] z+3 ' x-8 -v-4 =4 or" coplarar. Find their4 4 -5 7 I 3

cornmon point and the equation of the plane on which they lie. (06 Marks)

d. Find the magnitude and the equations of the shortest distance between the lines

).-2 \ I z+22-3 I 3 5 2

8 a. Selecl the cofiect answer :

i) The velociry of the moving particle along the cun'e x = t3 + 1'y =C,z=2t+3 is

A)(C, l)j +li F(21 r l)i B)(t'+lti t2d r(2t-3)kc) 3li - t'!j ' (2r + llk D) 3lri+ 2d | 2k

ii) The divergence of a continuously differentiable vector point function F is denoted by

divF and is defined by

er idF-i9l ,ral eritr, ial-r9 cri9F i9l-rg Dr 'F rF ' 'Fax-dy d7 ^

"at az 6', 'dJ a, 'a.ttav'**iii) divcurlF is equal to

A)i irk B)l C)0iv1 lf F=x -f l.rhen curl grad F is

Ar-l B)0 9)lFind dir F. wherc F = grad (\' ' | ' t lxirz)Prove that curl (grad O):0.

n(n + 1)(n + 2)

D) 2.

D)2.

O6MAT11

+.... co (04 Mark)

(06 Marks)

b.c,

d.

(04 Marks)(04 Mark)(06 Marks)

Show that r"R is any irotatioml vector for any value of tr but is solehoidal if oc + 3 : 0

whercR=xi+yj +zk and r is the magnitude ofR.*ri***

4 of4

(06 Mrrk)

USN O6MAT21

D) zero.

D) Nore ofthese

(04 Marks)

Second Semester B.E. Degree Examination, May/June 2010Engineering Mathematics - Il

E

llv

2E

8eE-E

1E

=t1

9E6E

-o 11

;:

z

E

Max. Marks:100Note:l.Answet any FIVE full qaestions, choosing al least twoJflom each part.

2-4nswer all objective q/pe qaestions only in oMR sheet pqge 5 oflhe answet booklel3,Arrs ler to objecth,e Etpe queslions on sheets olher lhdt OMR will not be talaed

PART_A1 a. Select the corect answer in each ofthe foliowing :

i) Curvatue of a staight line isB) zero C) Both A and B D) None ofthese.

Timei3 hrs.

2a.

ii) Radius ofthe curvatwe ofthe curve y: a sin 0 at the pole isn, sr !. Ct4"))

value c of x in (a, b) such that f(c) =

A) t{b)-f(a) B) i(b)+f(a) C)

f(b)-[ra)b-a b+a b+a

iv) Maclaurin's series expansion of 1og(l + x) is

iii) Iff(x) is continuous ir the closed interval [a, b] differenlial in (a, b) then I at least orc

nr * I' r *t - *'*........... Br *-! * i - *" *...........2 3 4 2',. 3',. 4l

c) ,- *'* *'* *'*........... D) x+ *

r l - -' .. ..234)'.]t4lb- Show that fbr the ellipse in the pedal fo"" +=+-:-+,rheradiusof the cuwature

D_ a- h- a -b-

(04 Marks)

(06 Marks)

(06 Marko

c,

d.

at the point (p, r) is a2b2lpr.

Verifi the Roller theorem for the function f(x) = (x - a)'(x b)", x e (a, b).

Expand tantl + x t using lhe Maclaurin s expansion upto the 4'n degree tero.'4

Select the correct answer in each ofthe foliowing :

i) The basic firndamental i[determinate folms are

D) both A and B

A) zero

Ar q0

B)- c)0

It lopsin xr) lhe value ol a- ls' x-->n/2 (n \'-x I(2 )

B)% c)-% D)-2iii) The necessary and sufficienl condition for maximum and minimum is

alf.(xy) = 0 B)t(xy)=0 C)fdxr=0=fy(D,) D) None ofthese.

iv) In a plane triaogla ABC, the maximum value ofCosa Cos D Cos c is,c) 5/8

1 ol4A) 3/8 B) 1/8 D)25f8. (04 Msrks)

l.d \

b Evaluare u lr-[ *ll '"'x-+al \a)l

c.

d.

3 a. Select the correct answer ill each ofthe following :

rJ"i) Value of I jra- i.

B)a'24

Expand tanr(y/x) about the point (1, 1) up to 2id degree tenn.Find the minimum value of x2 +f +* subject to the condition ax + by + cz = p. (06 Mark)

A) zerc

A) nr(n)

A) JFxd;

06MAT21 .

(04 Marks)

(06 Marks)

(06Mark,

(06 Marks)

cr a24

D) 24

ii) R is the region ofxy plale bounded by the curves y = y1(x) , y = y2(x) and line x = 4 andx : b. rhen lJrl*yp"ay i"

rn) Jldxdy repesents

A) Area ofthe rcgion in polar form B) Area ofthe region in Cartesian formC) Both A and B D) None ofthese.

iv) The value ol' f(n r I) is

B) J F(xy)dxdy

' D) All are correct.

C) (n- 1)! D)BothAandB. (04 Marks)

A) J lf(rr)dydx

c) J Jrrx' vlava*

B) n!b. IfAisthe-areaoftherectangularregionboundedbythelinesx=0,x=1andy=O,y=2

Evaluare Jtx' - 1 't dA .

A (04 Marks)

c. With usual notations, prcve that Jx f1Z-;2,-,f1-)f(2m + 1).rJx

d. Evaluate J Jxy dy dx , by changing the order ofirte$ation.0^

a. Select the corect answer in each ofthe following :

i) If F is the force acted upon by the particle moves fiom one end ofa curve to the otherend. fhen the total work done by p is

B) JF.di q jd; D) None ofthese.

ii) The line integral of F: x2i + xyj from O(0, 0) ro p(1, 1) along the straight line isA) 1/3 B) t/3 c)2t3 - D4i

iio ]f aN/ax , al\4/ay arc continuous functions, C is a simple closed curve enclosing theregion R in the xy - plane. The Grcen,s theorem states that

"r f,a..*a,=(#-#1.*,c1 {r'aa**Noy= [(9-9]*0,

; 'R'\ dy dx )

ar flaa,,+N+=(#-#).*,

or {r,aox-Nay=(# #)".,2of4

Solve (D3 + D2 + 4D + 4)y = 0

Solve y" + l6y = x sin 3x.

Solve (D'z- D -2)y = 1 - 2x - 9e * by the method of mdetermined coefficients.

Select the corlect answer ilr each ofthe follovr'i[g :

i) The wronskin ofcos x and sin x isA)0 B)t c)2

ii) To transfonn 1t + x;'Q 161*y!I + y = sin 2[og(1+ n)]

c) e'iii) The solution ofthe differential equation y,, + 6y = 0 satisfies the condition y(0) = 1 and

y(n/2) - 2 isA) cosx + 2sinx B) 2cosx + sio< C) cosx - sinx

iv) crcosax + czsinax - a cosax is the general solution of2a

D) None ofthese.

A ) fD^2 + a21y = "in

*C) (D'+ a')y = cos ax

B) (D2 - a'?)y = sin ax

region bounded by y = r and ) = y2.

d. Express the vector I = zi - 2xj + yk , in cylindrical coordinates.

PART - B5 a. Select thg corect answer in each ofthe followiag :

i) Solution ofthe differential equation (D, - aJy isA) are*+ cze- B) (a\ + b)ed C) (cr + c2x + cax2)es D) (crx + c#)e*

ii) Particular integal ofthe differential equation (D, +5D + 6)y = e, isA) e* B) e'/12 c) e" /30 D) e, I 6.

iii) Complementary function ofy,,- 2y, + y = x exsin x is

A) c1e' + c2e ' B) (c1x + c2)ex C) (c1+ c2x)e-*

iv) Particular integal of(D2 4)y=sin3x isA) U4 B) - y13 c) t/5

b.

c.

b.

c.

d.

6a.

(06 Marks)

(06 Mark)

(04 Mark)

(06 Marks)

(06 Marks)

D) None oflhese.

D) None of these. (04 t{rrk)

coeJfrcients put (1+x) =A) "t B) 1og x

D)4

into a L.D.E. vr'ith constant

D) t.

b.

O6MAT21

iv) The cylindrical co-ordinate system isA) Not orthogonal B) Orthogonal C) Coplanam D) Non_coplaoar. (04 Marks)

Find the total work done, by tle force represenled fy F=:xyi - yj 2z),k, in moving aparticle round lhe circle x' - y' = 4. (04 tarks)

Verifi the Green's theorem for {V* f ,)a," **raf , where c is the alosed curve of the

solr. *' dl .*dY.-u-lor*.dx' dx '

Solve y"-3y'+2y =;!;, bf vadatlon otpamneter merhod.

go1.o" 1'I * 5!" * 6x = 0. Give that x(0) = o, f;tol = rs.

3 of 4

D)@+a)y=sinx (0a Mark)

(04 Marks)

(06 Marks)

(06 Marks)

c.

I

O6MAT21

iv) Laplace tratrsfo1m of f'(t) isA) s f(s)-f(0) B)sf'(s)-f(0) c) fG) f(0)

b. Find | {e"t + 2f - 3 sin 3t + 4 cosh 2t }

c. If f(t) is a periodic function ofperiod 'w', then show that

LtttL)t= y ^ * le''IrLrdr

a. Select the corfect answer in each of the following :

i) Laplace transform of f(r, t > 0 is defined by..-.

a1 Je'llrtdr B) Je"f(r)dt c) F'f(1)dr

ii) Laplace transform ofcos at is

D) fe of(rldr

D\_'t ^2 ^2

lr) Norc ofthese.

D) None ofthese. (04 Mark)

(04 Mark)

(06 Marks)

D) e"tsinbt

D)se^

(04 Mark)

(04 Marks)

(06 Mark)

using the(06 Mrrl$)

a

s_ +a'

,lir.rlrr) L'l--f rs

lslA) F(t)dr

A)La

B)-j , C)-l ,s" +a' s'+a-

e1 '[!t)6, c) t" (t);t

lsint o<t<n/2d. Express *e function f{l)={ t>nt2 , in lerms ofunjt step nrnclion and lind il.sIcost

Lallace tansform. (06 Marks)

8 a. Select the collect affwer in each of the following :

i) Inverse l,aptace transfom of s-a(. -uf +bt

tt

A) ercostt B) eorcosbt C) edcosbt

[., -r.-alii) ln\erse Laplace lranslorm of l-l't

.A) 1. 3t+2f B) 10-3t+21 C)4-31+4f D) None ofthese.

iii) L {u(t a)}, where u (t a) is a lmit step tunction is

Btl c) e*

c.

d.

iv) L {5 (t - a)}, where 5(t - a) is n unit impulse firnclion

A)e^ Bre^ C.)e' Dtls

Find the inverse Laplace translbm of Js + 2

s'-s-2'Lsing the coovolution tbeorem obtain ,'{ , ,t', ., }

L (s'+a' )(s'+b') J

Solve the differential equation y"(1) + 4y'(t) + 4y(t) = e{ with y(0) = 0 y'(0),Laplace transform me&od.

4of4

IJSN O6MAT21

Second Semester B.E. Degree Examination, June/July 2011

Engineering Mathematics - lIMax. Marks:100

Notai l, Answet an! FfvEfall questions, choosing at least twofiom edch pu .2. Ans 'et

qll obJecdve type queslions onl! in OMR sheet page 5 ofthe answet booklet.3. Answet lo objectlye type questions on sheets other than OMR will not be volued.

PART.A1 a. Selegt the correct answer :

i) An expression for the radius of curvature in parametric form is

Time: 3 hrs.

ri

3

I

;r

E,

Ye

!E

!65}E

Ef.. ,E

r .!t

+U

oigz

9

1!ar p= !L':iL e) p= !t-!)l

lz Yi

ii) The curvature of a circle is a

c; o= {tli,.Yllj i D) None orthese

Ixv-vx ]

c)1iii) Ifa tunction (x) is continuous in [a, b] then O(x)=f(x)-lc< is also

A) differentiable B) continuous C) Both A and B D) None ofthesex-dviv) lf y--:,then ia atx=0isslnx dx

A) 1 B) 0 C) Both A and B D) 2 (04 Mark!)

b. Fhd rhe radius of curvature for rhe curve y -4a'}l2a-xl ,lrhere the curve meets thex

x-axis. (04 Marl(s)c. State and plove Cauchy's mean value theorem. (06Maft)d. Obtain the Maclaurin's series expansion oflog (l + e*), upto 46 degree terms. (06 Marks)

Lim lop ri) The value of __::ej_ isx --t U cosec x

A) constant

A)0

B) variable

B)l

D)0

/.+,tl

D) None ofthese

$ffiDrrlii{,}r--f.;c) *lii) lff'(a) = o and g'(u) = 0. ,h.n *. huu.

Lit IEI i" "qru1

,o

Lim f'lv\ Lim x -+a g(x)

A) -':::! B) f'(x) a, Lim flx)x-)a g'(x) xra S'(x) x-)a C'(x)

Lim tanx-xb_ Evaluale:

-,

x --r 0 x'tan x

c. Examine the flrnclion f(x, y) = xa 1 ya - 2(x - y)'? for extreme values.

d. Ifxyz = 8, find the values ofx, y, z for which u =--LUL isamaxinum.x+2y+42

1 of4

iii) The necessary conditions for f(x, y) = 0 to have extremum aroA) fv=o=fy, B)f*=o=fyy c) f"=o=fy D) None ofthese

iv) The point (a, b) is called a stationary point and the value f(a, b) is calledA) stationary point B) stationary value C) maximum value D) minimum value

(04 Msrk)

(04 Marks)

(06 Mark)

(06 Marks)

3 a. Select the conect answer :

lJxi) The value of J Jxy dydx is

0x

A) -L sr -l'24 '48 D)l-50c)a25

B) (0, 0) (0, r)D) None ofthese

O6MAT21

D) None ofthese(0{ Msrks)

(04 Marks)

(06 Markr)

(06 Mark)

D) All ofthese

iD I= J Idx dy represents the area oftriangle with vertic€s.

A) (0. 0) (0. r ) (r. 0)C) Both A and B

iii) The funcrion Jn+l is defined forallA) Positive integelsB) Real numbersC) Both A ard BD) Real numbers except for rcgativ€ ftactions

iv) Thevalueof 0i1-11 is' 'l)')l4)3.1416 B) 1.1416 C) 2.1416

r ,4-*Change the order ofintegration and hence evatuate J J f'dxrtf.

Prcve that B( m, n) = 14j11 .

{E+n

d. show rhai i=l-, i-- = :,- ."*'* JJr-f '!lt* cJr'

4 a. Select the corect answer :

i) If F=x'1i+xyj,then JF.di , fion (0,0) to (1, l) alorg rhe liee y = x is

orl ")i c)2 Dt4

ii) Green's theorcm in the plane is applicabie toA) xy - plane B) yz - plane C) xz - plane

c.

d.

C) fJF,a.as D) Nore ofthese

B) x = cos$ y=psino z=pD) None oftbese (04 Mark)

(04 Marks)

(06 Msrks)Express divergence of F, where F = xi - yj + z k in spherical polar coordinates. (06 Mrks)

2of4

iii) With usual notatiom Causs-divergence theorem state that JlJaiv F Ov is equal to

A) flF. fids n) f.lFxfidsssiv) Cylindrical polar coordinates (p, $, z) are given by

A)x=pcos$ y=psing z=1C) x = pcos$ y=psino z=z

particle around the circl e x2 + y2 = 4 .

State and prcve Gieeo's theorem ol the plane.

b. Find the total work done by the force represented ty F =Zxyi-yj+Zxzk in moving a

O6MAT2I

5a.

b.

c.

d.

1a.

PART _ B

Select the correct answer :

i) The differenrial equation :I = yr is'dx'

ii) The P.I of y'+ y = ca51i5

A) lsin*'2iii) The P.I. of(D2 + 3D + 2)y = I + 3x + x2 is

u)!,)

Bt 1.or*2

sr -1_s'+ l

B);+ c)

C) Non-linear D) lione ofthese

c) Itri, " D) 1x.inx

A) Linear B) Quasi linear

A) ,'

6 a. Select fhe correcl aqswer :

i) lhe homogeneous linear Clibrential1, 1, and *2 isAr (D] r D2 2b - 2)y -0ct fo'-lD+21u=9

ii) The general sol,;iicir of (r-2i1, _ 1p.1, _ g ;.

iv) The g€neral solution of;a qth 61491 6i6grential equatio4 cottainsA) Atleast'n' ind_:pendenl consrants S) ai.ort lo;l;d;;"oaent

ccn;tantsC) Exactly 'n' independent constants D) e*"tiy ",

a"pJ"a"" i"rr*r1Solve : (D3 - 2I2 + 4D - 8)y - 0. (04 Marks)

s'"ive : ;,'- 2y'+ ;, = xe- 5ii; . (04 Marks)

Solve: y'- 4y,+3y = 20cos!,by the methcd ofundetermineci cceiilc.ier.,:s, |l:il:::]

C; 2x2 D) 4x2

equatiq'.'. whose auxiliary equation has roots

B)(D3+3D-2)y=0D) Nore ofthese

C) tan'r s D) coft (s - t)

D) None of these

b.

c.

,.1,

.- A') y=C,+Cre' B) y=C,+Crx C) y=C,+Crx, D)y=Crx+Czx,iii) The equatioa ao(ax +b)ry'+a,(ax +b)y,+ a,y = d(x) is.4) Legendre's linear equation B) Cauchy,s lirear eq,":atioriC) Both A and B

iu) ir,1

aiii3*",i"r "e*,ior y, t :y, + e 1 = o , ;f,fr1T"Jj

t|,iil = r ,, *

A) Initial value ryoblem B) Boundary value problemsC) Both A aid B

Solve by ihe method of vadation of parameter, ,,i]ritl::H: ff #:::isolve (x + 1)'2y" + (x + 1)y' + y = 4cos 1og(l + x) . (o6 Martrs)Solve y' + 4y' + 4y = 8x'?, given y(Q) = l and y(l) = l. (05 Mark)

Select the corect answer :

i) Lillll]=LrlA) cot-r s

ii) L[3 sin h 2r] =

A) -6s'-436

s'+4

3 of4

u t,,, ,,[L{l=Lt l

a) bgf') e; r"r{l "]\s-a,/ \ s ,/

,q)ls

a1 Jr1"y 96 - r;a"

cy Jr1"1a,

lv) L [ y''(t) ] is equal toA) s'z Lly(t)l - sy(0) - y'(0)

C) s': Lty()j -sy'(o)- y(0)

iv) Ifu(t - a) is a unit step futrction then Laplace tansfolm ofu(t - a) is

06MAT2

D) None of these","'(=)

C;L

c)

-2Bt L+t'+tn +rt'2

D) None ofthese

B) If(u) g(t+u)du

D) Jg(u) du

B) s'z-sy(o)-y'(0)D) None ofthese

B)as

o1 4 1ol lrarts

hlb. Prove that Llt"l=frc. II f(l ) = 1'),0 < t < 2. is a periodic function with period 2. rhen fLnd L[ fir.l].

d. Find Laplaoe tra$ror- or rto = {'-t o

il!* *,r* -, ,tep tunction.

a. Select the corect answer :

n ',ll"l=ls'+5lo, sin '[ R),5

..- - ,fs'r6s'z+l2s+81,) LL s" l=

61 t'*,'ntn ntt2t 21 15

C) t'+t'+ to +I3

sinn6i sm{)t---- D) sin6.t

(01Mark

(06 Mark

(05 Mark

(04 Mrrk

(04 Mark

(06 Marks

(06 MIrk

iii) Convolutioa off(t) aod g(t) is given by (t) '. g(t) is equal to

/ _,. \Find: r'l '-', I

lG+1)'.ir1\

Find L-rl

-L_ l, by using cnnvolution theorem

\s(s- +a-llSolve by Laplace tansform method given y'+ k2y = 0 and y(0) = 2, V(O) = 0.

4of4

USN 06crv13/23

B) fie couple is shilild io any other position

FirsUSecond Semester B.E, Degree Examination, December 20I0Elements of civil Engineering and Engineering Mechanics

Time: 3 hrs. Max. Marks:100Notet 7 . Answer any FIUE full questions, choosing at leatt brto from each pqrt.

2. Answet all obiective 4)pe questiorrs ohly on OMR sheel page 5 of lhe dn$tter booklel.3, Ansltet to objective 4r'pe qbeslions on sheets olher lhdh OMR teill nol be wlued

PART. A

CE

39

8e

5

It

4a

,bg

Et9-oi

zE

E

1 a. Select the correct answer:i) Surveying deals with

A) Sub soil explomtion

b.

C) Conshucted across a tunnel

iv) The etrect ofa couple is unchaoged ifA) the couple is rotated trough any angle

B) Estimation ofquality and quantity ofsu ace and subsurlace waterC) Detemination ofcofiect distance between objects or stationsD) Desigr of super saucture ard substructures.

ii) lnfiastructure development focuses on piovidingA) Transportation facilities B) Water s),stem and drainage facilitiesC) Power supply and communication facilities D) All ofthese.

iii.) Dams areA) Constructed to cross a charnel or flowing water B) Banier or obstacl€ constructed across a water stream

D) Nore ofihe above.

iv) The roads connecting important touns, areas ofproduction and market places, connectiry 'lvith each other orwith the main highway of a district areA) Major district roads B) Arterial roads C) Expressways D) None offtese. (04 Msrks)

Briefly explain scope otrhe lollowing in civil engineering:i) Surveying ii) Oeotechnical.engineering iii) Hytuaulics- (09 Marks)

Wllat are the diffeient t$es of roads? Explam. Also. sk€tch a r]?ical cross-section of a road. (07 Mark)

Selecr the correcr a.nswer:i) IF a number of forces are acting simultaneously on a paricl€, Ihen each of them will produce the same

effect, which it rvould have done while acting alone. This is known as:A) Tbe principle of physical hdeperdence of forces B) The principle oftransmissibility of fo(cesC) The pdnciple ofresolution offorces D) None ofthe above.

ii) IN order to determine the effects offorces acting on a body, we must li'nowA) its magnitude and point at which it actr on the body B) direction oftie lioe alongC) their nature (whether push or pull) D) All ofthe above.

iii) Free bodydi€ram ota body showsA) A body isola@d &om all extemalforcesB) A body isolated ftom all its sunoudings and all extemal forces adillg on itC) A body showr separately from its sunomdings and all exl€mal and intemal forcesD) None ofthe above.

C) the couple is replaced by another pair offorces, whose rotational affects arc the sameD) All ofthe above. (04 Mr*s)

b. Chssiry the systerns offorces & their characleristics with an illustration. (10 Marks)

R€duce the system shoun h Iig.Q2(c), to (i) single force (ii) single force and couple at A (iii) single force andcoupl€ alB (06 Maiks)

Fig.Q2(c)

1of4

acF r:^\k6-<fa)rr,* l;,: :]r:,,rr! 1.1'-, iJLtr$Ei'i"'.-'-

"!_:::l

l+ tt,Fu -____------__-d

Select the cor.ect answer:i) If a force F makes an angle € with x-a-xis, the components of force with respect xo

respectively, areA) F cose, F sino B) F sino, F cos0 C) F ia00, f sine

ii) Direction oithe resu,tant force can be determined bvD)Fsin6,Fsece

o, ,*u = (!Y)\ rH,

q t-e=ffifi(>vf

- /rH \B) tanu=l- I

\ xv,/

D) None ofthese

06ctYt3t23

x-axis and y-axis,

(01Marks)

(06 Msrks)

iii) Vaiglon's principle ofmoments can be stated as

A) Moment ofresultant force R aboul 'X' = Moment offorce p aboul ,X' x Moment offorce Q about'X'

B) Moment ofresultant force R about'X'=Moment offorce p about.X,- Momentofforce Q about'X'

C) Moment ofresultant force R about'X'=Moment offorce p about,X, + Moment offorce Q abolrr 'X'

D) None ofthe above.iv) Moment ofaforce is defined as

A) Linear eff€ct ofa force about a poinrC) Turbulent effect ofa force abou. a poinr

b The four coplanar forces acting at a poinr aremagnitud€ is as shown by 'F'. The resultantinclination e with x"axis-

B) Rotational effecr of a force about a pointD) All ofthese

as shown in Fig.Q3(b). One of the forc€s his 500 N and is along x-axis. Determine the

-"-_ )( _rtrJ-{

Tton

Fig.Q3(b) Fig.e3(c)Iour forces ad on a 700mm<l75mm plare as sho$,n in Fig.ej(c). Fjnd (i) lhe resulranl of rhese forces(r) locaie the point where the tine ofadion oftho resultant intersects the edge AB ofthe p1aie. (10 Mark)

Select the corect ans$er:i) The centre ofgravity is a point

A) at which the whole area ofthe plane figure is coDcentratedB) at which the whole volume ofthe body is concentratedC) at which the whole weight ofthe body actsD) All ofthe above

ii) The centroid in x-direction ir general is

A);:u u, t:I c) Lax/zaIax Iaiii) The ce-ntroid ol'a righr angled niangle. \rilh base as x-axis and opposite side as y_axi) is

A) t/l'ofh, I/3" ot'b Br 2/.}d ofb- 2/u,d ofhC) 1/3d ofb, 2/3d ofh Di2l3d ofb; 1/3'd ofh

iv) The centroid of a circle with its odgin as axes is given byA)r,r C)0,4 31t D) 4tl3n,O

D) tax + ra

B)0,0b. Locate the cenhoial ofatriangle, from the fust principles.

(04 Mark)(06 Marks)

2of4

I

Determine the location ofthe centroidthe origin 'O'.

t h"'"l

06cryl3/23ofthe shaded portion ofthe lamin4 shown in Fig.e4(c), wjrh respect to

(r0 Mark)

T+ __ __-

T

,rl5 00rJ

(04 Mirks)

vedcal forces 200 N and 250 N at

r5xN

R _to-E

PART _ B5 a. Select the coffect answer:

i) An equilibrant is a forceA) un€qual in magnitude, opposit€ in direction and collinear with the resuhantB) €qual in magnitude, opposite in direction and non-collinear with the resulranrC) equal in magnitude, opposite in direction and collinear with the resulrantD) unequal in magnirude, opposite in direction and non-collin€ar with the resultant

ii) Equilibrium equations areA):H=0 c)rM=0B) rv= 0 D)Allofthese

iii) Lami's theorem isappticabte forA) Coplanar forcer B) Concu.renr torcesC) Coplanar and concurrent torces D, Any rype. otforce..

i!) For a smoorh spherical surface, redclion actsA) inclined to rhe plane ofcontact B) pemendicular to the ,lane ofcontactC) horiTonlal ro $e ptane ofcontacr Dl AII olfiese.

b. D€termine the tensjon in cables AB and AC required to hold a 50 kg crate, shown in Fig.e5(b).Take g = 9.81 m'z/s€c. (06 Mart$)A system ofconnected ftexibte cabl€s shown in Fig.es(c), is supporting iwopoints B and D. Determine rhe forces in various seEments ottne iatrie '

'001rFie.Q5(c)Select the correct answer:i) When the reaction at a support consists ofa moment, a vedcal force and a horizonral force, then that support

A) Hinged support B) Roller supportii) A single span beam is statically deierminate when

A) both the ends are fixedC) One end is hinged and orher i, ro er.upponed

iii) A beam AB is l'ixed at one end. hee al .he other,developed reaction RA , wilt be equalto

C) Fix€d support D) Simple suppon

B) One end is fi(ed. other end is \impty supponedD) Both ends are hinsed.

and loaded by a concetrtrared load W ar the ftee end. Then

c) w2 kN

3 of 4

1a

Fis.Qs(b)Fig.Q4(c)

Fie.Q6(c)

A) W/3 kN B)WkN D) 2w/3 kN

b.

7a.

O6CIY,3N3

iv) IfW kN/n uniformly distribut€d Ioad is acting on a simply supported beam AB, then reactions Ra and RB

will be equal toA) w/3 kN,2W3 kN B) w/4 kN,3W4 kN C) 2w/3 kN,W3 kN D) w/2 k\W2 kN (0a Marks)

What are the types of loads and supports a beam may have? (06 Marks)

A beam ABCDEF is hingpd at A, supported on rollers at E and canies loads as shown in Fig.Q6(c). Determinethe reactions al the supports. (f0 Marks)

Select the colrect answer:,l Sralic &icrion is defined as

A) The friction acting on a body, when the contacl surfaces are lubricated.B) The fiiction acting on a body, which is actually in motionC) The friction actirg on a body, which is at rest

D) All ofthe above.ii) If a body is placed on an inciined plane, ihen, the adgle at which the body is just at the point or verge of

diding down, is calledA) Angle offtiction B) Cone oftriction C) Coefficieft of friction D) Angle ofrepose

iii) The magnitude of the forc€ of ftiction between two bodies, one lying above the othet depends upon the

roughness oftheA) upp€r body B) lower body C) both the bodies D) lhe body having more rough.ess

iv) A uniform ladder of weight W and length 'L' rests olt horizontal gound and leans on a rough vertical wallwith angle '0'. When a man stands on the ladder, the Iadder slips towardsA) left at the ground and towards up at the wallB) lefi at the ground and tolvards down al the wallC) right at the ground and towards up at the wallD) right at the gound and towards down at the wall

Explain : i) Tlpes ofiiiction ii) Laws ofiictionb.

(04 Marks)(06 Mrrks)

A 4m ladder weighing 200 N is placed against a vertical wall is shown in Fig.Q7(c.) As a man weighing 800 N,reaches a point 2.?m fiorn A, the Iadder is about to slip. Assuming that the coeffcient of fiiction between the

ladder and the wall is 0.2, determine the coefEcient of ftiction between the Iadder and the floor. (10 Mark)

Fie.Q7(c)Select the correct arlswer:i) Radius of${ation way be defined mathematically as

ri+ltpnrru6' /1ou'

Fig.Q8(c)

B)-E c)l,\IA Aii) Mom€nt ofinertia ofa plane area about 1-1 axis pamllel to cenfoidal axis is equal to

B) I)o( x At'? c) Io -Ay' D) I)c( +Ay'1

nd3D)-256

o)iIAo) {io, Io.

A',iii) Tfie momenl ofinenia ofniangle aboul lhe base is given by

ar fi(o'-a')ir') |,loftcnt afincrtia ofa rcmicircle about centoidal axis ;s Eivcn by

ndaD)_'64b. State and plove the parallel axis theorem. (04 Marks)c. Determine the moment olinertia and radii ofglration ofthe area shorm in Fig.Q8(c), about the base AB and the

4of4

A) 0.055 ra B) o.n /

hh3 bh3B,

- C)

-36 12

c)0.11d4 (0d Mark)

cenroidal axis parallel xo AB. (12 Marks)

USN 06ctYt3/23

First/Second Semester B.E. Degree Examination, Jlne/July 2011Elernents of Givil Engineering and E gineering Mechanics

Time: 3 hrs- Max. Marks:100Notetl.Aaswel FIVE fall q estions choosihg at leqst twoJfrohr eack par.L

2.Anstter all objectite 4)pe queslions o b in OMR sheetpage 5 o:Fthe Answet Booklel3.Answers 1o objeclitte 4,pe qaeslions o sheets other than OMRttill.rlot be valued

PART - A1 a. Select the corect answer :

i) The topmost layer of the road over which the traffic moves isA) Edging B) Wearing coat C) Bem D) Pavement

ii) The branch of civil engineering which deals with planning scheduling and execution ofproject isA) Geotechnical Engg.C) Constuctico Technology and management D) Shuctunal Engg.

iii) The bridges ofspan between 8 m and 30 m areA) Minor bridges B) Major bridges C) Culverts D) Longspan bridges.

iv) Bituminous road is also lcrown as

A) Flexible pavementC) Karkar road

b. Whal is meant by suveying? Write a bdef note on classification ,hasedsurvey.

c. Briefly exptain the foliowing specialization of civil engineering:-i)GeotechaicalEngineering ii)TransportationEryineeritrg

E

E

$3

6.i

E>

,E

B) Suveying

B) Rigid paveme .

D) Moorum road.

2 a. Select the cofect a$wer :

i) Branch of mechanics which deals with the motior of t odies .referring to the lbrcescausing r"be molion is .1r -

(04 Marks)on nature of field

(08 Marks)

(08 Ms*s)

AE i#; *;;Kinematics

c) statics ol viscous nq;4oitl-lc--\ii) Geometricalrepresentationofmomentofaforceaboutapointis.Cirenby,/$*/ ,- ^r\iiA) Area oftriangle B) Twice the area.of:triangt" iij

given system, the two svstems arc said to beA) Equivalent B) Concunenl C) Unequivaleat .D).Continuous (04 Marks)

b. Resolve 400 N force acting on a block as shown in Fig.e2(b) iflto two.components as givenbelow. a) Horizontal and vertical components. b) Along the,irilined plane atrd at dghtangles to the plane. (08 Marks)

C) Thrice the area of triangle Dii;;;th;;;;;r;"d;. tr';iii) A single force which can nullif! the effect of system of foroes is

A) Resdtant B) Couple C) Equilibrant D) Momentiv) If a given force system can be replaced by another system with exactly same net

Fig.Q2(b) F!g:@.(c)Determine the moment offorce ahorrt "A" sholln in Fig.Q2(c).Explain the principle oftransmissibility of force.

I of 4

TI

IL

c.

d.(04 Marks)

06crYt3l23


i) Maximum and minimum resultant oftwo concurent forces 20 kN and 12 kN are

A)40&24kN B)32&8kNii) A couple consists of

C) 10 & 6 kN D) None ofthese.

A) two equat parallel and opposite forces separated by a distarceB) two equal and like paral)el forcrsC) two unequal ard like parallel forcesD) None ofthese.

iii) Resultant oftwo unlike parallel forces 10 kN and 15 kN isA) 2s k]\r B)5kN c) ls0 kN D) None ofthese

iv) VarigDon's theorem is applicable toA) only coplanar force system B) only concurrent force system

C) orly nonconcurrent force system D) coplanar, concurent and troncoocrEent systems(04 Morks)

A dam section is shown in Fig.Q3(b). Determine the magnitude, direction and position ofresultant with respect to 'O'. (08 Marks)

Fie.Q3(b)Fie.Q3(c)

c" 2 kN force is the resultant of system offorces acting up along y-exis as showo in Fig.Q3(c).Detemine the value of F and 0.

4 a. Select the corect answer :

i) Centioid of a lamira must beA) within laminaC) Not necessarily with in lamina

(08 MErk)

B) Outside the laminaD) None of these.

ii) Cetrtoid of a sector hich is symmetrical about horizontal axis is given by2R.

A) -s

l(!' 3ttn) fsina

2Rc) -

cos c( n)frsacr

iii) The centroid of lamina is detemined by the princile of

iv) One of &e coordinates of controid of a lamina symmetrical about vertical axis with a

width of?00mm and depth l50mm isA) 100 mm B) 75 mm C) 200 mm D) 150 om (04 Mrrks)

b. Determine the cente of gravity of the lamilla shown in Fig.Q4(b) with respect to O.

A) Lami's theorerrC) Triangle law of forces

B) Varignon's theoremD) None of these.

1

I+-

rig.Qa(b)

c. Locate the centoid ofright angted triangle ftom fust principles.2of4

(12 Marlc)

(04 Marks)

;-"-r--;:=o

+$

Fto qs+---]o hT-+- \ oeF -+

06ctYt3t23PART_B

5 a- Select the corect answer :

i) Lami's theorem is applicable forA) coplanar concurent lorcesC) coplanar nonconcurrent forces

ii) Forces in equilibrium produceA) Maximum resultantC) Zero resultart

B) Notr coplaoar concuent forcesD) Parallel forces.

B) Maximurr momentD) Maximum torque

B) tluee conditions of equilibriumD) one vertical and a momerlt.

C)WL D) None.

iii) A body lies in equilibrium under the action of three forces whenA) Resultant of any two forces is equal, opposiie and colinear with third forceB) Resultant of any two forces is equal, parallel and colinear witl third forceC) Resultatrt of any two forces is unequal, opposite and colinear with third forceD) All three forces are like parallel forces.

iv) The reaction at tlle surface of aontact of a sphere isA) parallel to the slrface ofcontact B) nomal to the surface ofcontactC) inclined to the surface of contact D) None ofttrese.

b. Detemine the forces in the wires shown in Fig.QS&).(04 Mffks)(10 Marks)

a.

6a-

Fis.Q5(c)

rig.Qs(b)

A sphere of weight 300 N rests on an ircline as shown in Fig.Q5(c). Detennine the surfacer€actioDs. (06 Msrks)

Select the corlect a$wer :

i) A beam supported by roller and hinge supports subjected to only vertical loads hasA) Veitical and horizotrtal reactions B) Two vertical reactio[C) Two horiz.ontal reactions D) One vertical and a moment.

ii) A delerminate beam can be analyzed by applying maximumA) two conditions of equilibriumC) four conditions of equilibrium

iii) Water in a tank is an example ofA) point load B) Udl

iv) A cantilever beam is oneA) whose ends are fixedB) whose both ends are simply supportedC) whose one end is fixed and the other simply supportedD) whose one end is fixed and the otlrci end fiee.

b. \Vhat is the difference betweel determinate and indeteminate beams?c. Determine the support reactions for the beam sho,rn in Fig.Q6(c).

,*,ri.

(04 Mark)(04 Marks)(06 Marks)

Fig.Q6(c)

Two men A & B carry a stone bloak weighing 2 kN, suspending the stone block on ahorizontal beam and carrying it on their shoulders at each end. The beirm is 2 m long ard isof weight 580 N/m. A can carry maximum weight of 1.2 kN and B can carry a weight of0.9 kN. Determine the distanc€ at which the stone block is suspetded from the end carriedbv A.

3 0f4 (o6 Ma*s)

o6crYt3n3'

7 a. Select the conect answet :

i) The force offriction is independent ofA) force applied on body B) weight ofbodyC) velocity ofsliding D) None ofthese'

ii) The body remains at rest as along as the frictional force is

A) Equal to the force appliedC) Less than the force applied

iii) Solid ftic1ior1 is the friction between two surfaces

, B) Greater than the force appliedD) None ofthese.

B) when lubdcation is usedD) None ofthese.

B) Polar mome[t of inertiaD) Second moment of area

A) when no lubricalion is used

C) when surfaces are heatediv) Ratio of limiting force of friction to the normal rcaction is

A) Argle offriction B) Coefficietrt of fiiction

b.

8a.

C) Angle ofrepose D) None ofthese (04 Marks)

What is miant by;angle ofrepose'? Show that angle ofrepose is equal 10 a41e of friction'(08 Marks)

A uniform ladder of weight 850 N altd of tength 6 m rests otr a horizonlal ground and leans

against a smooth vertical wall. The angle made by the ladder with the hoizodal is 65'.Wlen a man of weight 700 N stands or the ladder at a distance of 4 m from the top of the

ladder, the ladder is at the point of sliding. Detemire the coemcient of frictioo between the

ladder and the floor. (08 Markr)

Select the correct answer :

i) M.l- ofan annular area with oulfr radius 0.8m and inner radius 0.5m is

\10.2726 ma Bj 0.3726 na C) I .222 ma D) Nooe oI these

ii) The distance at which an area can be imagined to be placed and squeeze d, so that therc is

no change in moment of ioertia is known as

b,c,

A) Radius of gyrationC) Moment of area

iii) Moment of inertia isA) Resistance to chmge in rotational motionB) Accepta[ce to change in rctational motionC) Resistance to deformationD) None ofth€ above.

iv) M.I. of a rectangle about the base is

o, !4 u) bg ci !!-'-' 6 3 12

Stale a d prove parallel axis theorem.

Detemine M.I. about horizontal centroidal &tisAlso find radrus of g;.ration aboul lhe same axis.

D) g{t2

for the shaded area

(0aMarks)

(06 Marks)shown in Fig.Q8(c).

(r0 Marks)-?

I

I

I

+

LFig.Q8(c)

4of4

USN

A) Helio electrical process

C) Helio thermal process

A) Pressure gaugeC) Economizer

iv) Example ofa water tube boiler isA) Babcock and Wilcox boilerC) Comish boiler

B) Helio chemical processI)) None ofthese.

B) Latent heatD) Deg.ee of superheat.

Safely valveFeed check va.lve.

B) Lancashire boilerD) Cochran boiler.

B) Pelton wheelD) Parson's turbine.

B) Aerofoil profileD) None ofthese.

B) SolarD) wind

B) Pelton wheelD) Cufiis tuibine.

06E}{Et4t24.;'.

(06 erark)

First/Second Semester B.E. Degree Examination, December 2010

Elements of Mechanical Engineering

Time: 3 hrs. Max. Marks:100Notezl.Answer any FIYE full qaestions, choosi g at least twofrom each Part

2.Anstrer all objective 4)pe questions onl), in OMR sheet Pagc 5 olthe Arlswel BookleL3.Answet to obieciive 4)pe q eslions oh sheels olher than OMR will not be valaed.

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PART - A

I a. Choose the corect answer :

2 a. Choose the correct answer :

D

i) Photos)rthesis process which is the source ofail fossil fuels and lbod is called

ii) The differe[ce between superheated temperatue and the satumtion temperatue isdelined as

A) Sensible heatC) Amount of superheat

is an accessory ofa boiler.iiDB)D)

(04 Marks)

b.5kgofwetsteamofdryn€ssftaction0.8,passesftomaboilertoasuperheater,ataconstantpressure of 10 bar abs. In the superheater its tempeBture increases to 350oC. Detemine itsamount of heat supplied in the superheater. The specific heat of superheated steamCes = 2.25 kJ/kg K.[At P = 10 bar abs, the properties fiom steam tables are :

T, = 179.88"C hr- 762.61 kJlk. h1* = 2013.6 kJ&g.c. Explain with a neat skelch. the raorking principle ofa Babcock aad Wilcox boilor. (10 Marks)

lurbine is an example for steam turbine.

iit lmpulse sream turbi-nes have _ Lype of blades.

A) Spmetrical EofileC) Unsyrnmetical Eofile

A) Kaplan turbineC) Francis turbine

A) ElecticalC) Hydraulic

ir) is an example for reaction tubine.A) Kaplan turbineC) De Lavel turbine

iii) In Pelton wheel _ energy is converted into mechanical energy.

b.

c.

(04 Marks)Explain with neat sketches, the working principles of impulse and reaction turbi[es.

(10 Mark)What is iompounding of a steam turbine? B efly explaia the velocity compounding of asteam turbine.

1of4 (06Matu)

06Eil[fi14t243 a. Choose the corect auswer :

i) A petrol engine works on

A) Temperature

themod)namic cycle.B) Diesel cycleA) Otto cyble

C) Dual combusrion cycle D) Slerling cycle.ii) In 4-stroke engines, number ofrotations of'the cianksh)ft to complete a cycle are

.A) I B) 2c)4 D) 6iiil The-paa of the engine. which stores energy during power stroke and supply the same

for the other tlree sLrokes isA) Piston B) CrankC) Connectingrod D) FlFvheel.

iv) Irl diesel engines, heat is supplidd at constantB) Pressure

b.C) Volume D) fuea. (o4 t{ark)

With a neat sketch ex?lain the working principle ofa four stroke diesel engine, with the pVdiagram.A single cylinder fow stroke engine rurs at 1000 rpm ou. u Oo." o, tr, -rnt*Jilflstroke of 140 mm. The brake load is 6 kg at 600 mm radius arrd the mechaoical efEciercy is80%. Calculate brake power and the mean effective pressue. (06 M!rk)Choose the correcl answer :

i I Which one of lhe following is trot used as a refi.igerant?

4a.

b.(04 Marks)(06 Marks)(10 Marks)

ii) In a refrigeratior system, the ratio ofheat absorbed in a system to the work supplied iscalled

A) Efficiency B) EffectivenessC) Coefficient of perfomance D) N6ne of thele.

iii) In a vapour absorptionrefrigerator, the.absorber contains,

A) Freon 22C) Anmonia

A) AmmoniaC) Carbon dioxide

A) Compressor suctionC) Expansion valve

B) HydrogenD) Sulphur dioxide.

B) Cold waterD) Methyl chloride.

B) CompressordischargeD) Condenser.

19 Presence of moisture in a refrigeration cycle will show its effect at

What arc the properties of a good refrigerant? Explain.Explain with a treat sketch, the working ofa vapour compression refrigerator.

PART * B

5 a. Choose the corect answer :

i) Cariage is a partofaA) Milling machineC) Grindiog machine

ii) Eotarging of a drilled hole,called :

A) DrillingC) Boring

B) Ddlling machineD) Lathe.

using a single point cutting tool in a drilling machine, is

B) Counter bodngD) Tapping.

iiD The machining operation performed on a lathe, to obtain a flat surface, at the end of. the work piece is calledA) TumingC) Kmrling

iv) Tapping operatioE is perfomed to obtainA) Extemal threadsC) Tapered hole

B) FacingD) Taper tuming.

B) Intema.l thrcadsD) Cylindrical hole.

2of4(0a Mark)

b. With a neat sketch. explar the following machining operatiols :

A) Straddle milingC) End millins

B) Angular milliqD) Gang milling.

o6F":iMEl4l24

(0a Marks)

i) Counter borir.ii) Knurlingiii) Taper tuminp (09 Marks)

With a neat sketch, explin the consauction and working of a radial driiline -u"hifii u,.r."l

6 a. Choose the colaect an$Er :

i) Regulating wheel ; used in- operation.

A) Surface gindng B) Centre tlTe cylindrical

C1 Cenucleis grnding D) None of these ,,Z[t :r'\iir

ll;crr.9ne jy 1gi'n

abri'ive panicle? r,, ni--..6,.r ,,.r-t'.A) Atuminum oide BJ Diamond lli { ,. .,,r:. :.,,r

Cr Corundum D) Silicate. -:{ . ' --.. :.

A) Horlontal nilling machine B) Lathe \('&*--''" rZA) Horizontal nilling machine ts) Lathe \{-}*-'"'};C) Radial arm riilling machine D) None of these \--i::g.,:9-Z

ir) ii," p;;;;; ;a;ixins;ed to miil slots, pockets and kcvwavs. in such a-ffi3at, the

axis ofthe millingcutter is perpendicular to the sudace ofihe workpiece is called-

b.

c.

7a.

bxplain the followingmilling operations, rvith a neat sketch :

i) Gang millhgii) Shaddle rillingiii) Form miiling.

With a neat sketch, explain the external cylindrical centerless grinding process.(09 Mark)(07 Mrrk)

Choose lhe colre.l ans\ er :

i) The oxy - acetylene flame, which contains more amount of oxygen and Iess amount ofacetylene isA) Neutral flameC) Oxidizing flameJoining of two thin metal pieces

A) SolderingC) BrazingThe lubdcation method,A) Splash lubrication

used in I.C. engines to lubricate the cylinder and the piston is

C) Slphon wick lubricationiv) Ball bearings are also called as

A) Thrust beadngsC) Antiftictionbea.rings (04 Mark)

What are the destable propefiies ofa good lubricant? Explain any six. (06 Mark)With a rcat sketch, explain the working pdnciple ofoxy - acetylene gas welding. (06 Mark)List any four differences between soldeting and brazing. (0a Mark)

B) Reducing flameD) None ofthese.

using an alloy by the application of heat is calledB) weldhgD) Buffing.

B) Drop feed lubricationD) None ofthese.

B) Journal bearingsD) None ofthese.

b.

c,

d.

3 of4

06EI|[E14t24

8 a. Choose the corect aiswer :

i.; Power transmined isA) The rate ofwork done per unir dmeB) The producl of lorce and distance traveledC) The energy emitted by any machine or ergineD1 None oIt-hese.

ii) Open belt drive is employed whenA) Two pamllel shafts are rotating in the some direction8) Two parallel sha-fts are rolating in the opposite directioDC) Two peryendicular shafts are .otating in the same directiooD) Two perpendicular shafts are rotating in the opposite direction.

iii) Gears, used for cormecting non paralleJ and non intersecting axes shafts arcA) Spur gears B) Bevel gears

C) Worm gears D) Spiral gears.iv) Gear drive used to convert the rotary motion into linear motiotr is

A) Spur gearC) Rack and pinion

B) Bevel gearD) Spiral gear. (04 Mark)

b. With aeat sketches, explain the followiag terms, used in belt drives :

i) Are of cortactii) Tighl and slack sides

(09 Mark!)iii) Velocity ratio.c. Two spur gears A and B cornect two parallel shafis, tiat are 500 mm apart. Gear 'A' runs at

400 rym and gear 'B' at 200 rpm. Ifthe circular pitoh is 30mm, calculate the number ofteethon gears A and B. (07Marls)

4of4

10cry13/23

R= oettl

toor,l

3 a. Choose your answen for the following :

i) Iftwc equal forces ofmagnitude'p'

*

SicoN

D){'36

(06 Marks)

act at an angle 'e', dreir resultant will be

A.1 2p cos 0/2 B) P ta,] elz C) 2p sin 0/2 D) p cos e/2

ii) The simplest resultant of a piate force system is alwaysA) A single force B) A wrench C) A single moment

A) Half B) Same C) Twice

b. State and prove Vadgnon's theorem of mometrts.

x-atxls.

D) A siogle force or a single moment.iii) The angle between two forces to make thefu rcsultant a minimum and a maximum

resnectivelv are:A) bo and 900 B t I 800 and 900 c) 900 and 1 800 D) 1 800 and 00

iv) The moment of a force about any point is numerically equal to . .... ,.. times the area

of the triangle whose base is the line representing the force and vertex is the pointabout which the momeot is taken

D) Thdce(04 Marks)(10 Mark)

c. Two forces acting ofl a body are 500N and 1000N as sho$n in Fig. Q3 (c) Determine the

third force F such ttrat the resultant of ail the tkee forces is 1000N dirccted at 450 to the


i) The first moment of area of a semicircular area about its diameter d is given by

d3

t2B){' )4 c)q'6

ii) Centroid of a triangular area of base 'b' and height 'h' taken about an axis coincident

with the base is given bybhr

12

iii) Momenl of total area about its centroidal axis isA) Twice the area B) Three times the areaC) Zerc D) none ofthe above

iv) Centroid conveys some clue aboutA) The orieotalion ofa sudaceC) Shape and disposition ofthe area

B)* C)q5

D)!'1

B) Ceotre ofa bodyD) Area of cross-section (04 Marks)

(06 Marks)b. Determine the celtroid of semicircle by the method of htegation.c. With reference to the co-orditrate axis x and y, locate the centreid ofthe area shown in

Fig. Q4 (c). (10 Mark)

Q2(d) Fie. Q3(c)

2of4

x rie. ea(c)

t0crYt3t23

Fig. Qs(c)

t-

PART-B5 a- Choose your answers for the following :

i) The force that cancels the effects ofthe force system acting on the body is known as

A) Resultant B) Neutral force C) Batancing force D) Equilibriantii) Ifthe sum of all the forces acting on a body is zero it may be concluded that the body

A) Must be in equilibdum B) cannot be in equilibriumC) May be equilibrium provided the forces are concurreot.D) May be in equilibrium provided the forces are parallel.

iii) For a smooth spherical swface reaction actsA) Eolizontal to the plane ofcontact B) Inclined to the plane ofco[tactC) Perpendicutar to the plane ofcontact D) None ofthe above.

iv) A system that possesses a resultant:A) Will be equilibriumC) Will not be in equilibrium

B) Will be rmder restD) None ofthese

b.

c.

(04 Marks)Define free body diagram, Describe types of forces acting on a body. Explain them briefly.

(06 Mark)Cytinder 'A' of diameto 200mm and cylinder B of diameter 300mm are placed in a troughshown in Fig. Q5 (c). Ifcylinder A weighs 800N and cylinder B weighs 1200N, determinethe reactiotrs developed at contact surfaces P, Q, R and S. Assume all coltact surfaces aresmooth. (10 M6rks)

Choose your answers for the following :

i) Minimum number of members re4uired to form a simple trussA)2 B)3 c)4 D)5

ii) In the method ofjoints for the analysis of foroes in the member of auss, the number ofequilibdum equations available at each joint are

^)2 B) 3 c)4 D) s

iii) For a system of coplanar parallel forces to be in equilibriumA) The rcsultant force must vanish alone is sufficientB) The lesultant couple must vanish alone is sumcientC) Both resultant force and the resultant couple must vanishD) None ofthe above

iv) The beam is neither pormitted to move in any direction nor allowed to rotate il1 the case ofA) Hinged support B) Fixed support C) Roller support D) Simple support

(04 Markr)Briefly explain the method ofjoints and method of sections used in the analysis of simpletrusses. (06 Marks)Detemine the reactions at the support for the beam loaded shown in Fig. Q6(c). (10 Marks)

6a-

b.

c.

3 of4

,0 Frl

Fie. Q6(c)

10ctYt3t23


i) A body ofweight Q is placed on an inclined rough plane. The inclination ofthe planewith the horizontal is less than the angle offiiction. The body will.A) be in motion B) move downwards C) be in equilibrium D) move upwards

ii) The angle which an inclined surface Eakes with the horizontal when a body placed onit is in v€rge ofmovhg dorr,n, is calledA) Angle ofrepose B) Angle offrictiotr C) Aagte ofinclination D) None

iii) If $ : angle of fiiction and p = coefEcieat of friction, thetr which equation is valid?

A)tan0=p B)tan6=1p

i, Angle offriction is *re angle betweenA) The incline and horizontalB) The normal reaction and frictional force.C) The weight ofthe body and the friction force.D) Nomal reaction and tle resultant.

C)sin{=p D)cos{=p

(04 MarLr)b.c.

Explain limiting friction, angle ofrepose and cone offtiction- (06 Marks)A turiform ladder of 4m leryth rests against a vertical wall with which it makes an angle of45u as shown in Fig. Q7 (cJ. The coefficied offiictioD betwe€n the ladder and the floor is0.5. If tlle man whose weight is one-half of that of ladder asceDds i! how high will he bewhen the ladder slips? (t0 Marks)

k-----!e!!a_jFig. Q8(c)


i) The moment of inertia of a body isA) Momeot of its inertiaB) The rotational moment acting on the bodyC) The rctational amlogue ofmassD) The inertial moment acting on the body

ii) The second moment of a plane area about any axis as comparcd to its second momentabout the neutral a{sA) Is always more B) Is always less C) Is equal D) Not equaliii) Moment of inedia of a square of side ,a, about an axis through its centre of gavity is

c)4t2

iv) The value of moment of inertia depends onA) Tlpe of material B) Weight of material

, C) Deosity ofmaterial D) Cross-sectional dimensiom. (04 Mark)D. State and prove parallel axis theorem. (06 Mark)c. Determine the second moment of area about hodzontal centooidal axis for shaded areashou,n in Fig. Q8 (c). Also find the radius ofgymtion about the same axis. Take Rr = 50mmand R2 = 20mm. (r0 Marks)

4of4

A) 4'4 B)a8

D)4'36

Fie. Q7(c)

USN

Time: 3 hrs.

toEMBt4tz4

Max. Marks:100

First/Second Semester B.E. Degree Examination, June/July 2011Elements of Mechanical Engineering

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Notei 1. Ahswet FfW fall questions choosing dt least two from each part.2. Arrsh,er dll objective Epe q estiohs onl! in OMR sheet page 5 of the answer booklet,3. Answer lo objecrive qpe questions on sheers other thah OMR ttill not be valued.1, Use ofsteam tdbles is holpe nitted.

l a. choose the ccrect arswer: PART-A

i) The steam heated beyond its dry saturated stage is calledA) Dry steam B) Wet stea.ir C) Satuated steam D) Super heated steam

B) Enthalpy of evaporationD) Enthalpy of suler heated steam.

ii) Sensible heat is also called as

iii) Economiser is a device used to _ .

A) heat the air fed to the fumaceB) increase the temperature of steam above the saturalion temperatueC) heat the feed waLer

D) separate the water particles present in lhe steam.

iv) Lancashire boiler is ofA) firetubetlpe BlstatioDary rype C) bbrizobtal rype D) All of fiese(iia Me;k)

b. With a neat sketch, explaio the firnctioning of Ocean Thermal Energy Conversion (OTEC).

c. Find the enthalov of heat in 2ksof steam al 0gharana R5o/" nralitw ,r."r"..'i:'#::l

Differentiate between:i) Boiler mountings and accessories1i) Dry satuated steam and super heated steam.

Choose the correct answer:i) In case ofimpulse steao turbine there is

A) pressure drop in fixed aad moving bladesB) pressure drop only in moving bladesC) presswe drop ooly in nozzlesD) pressue &op only is fixed blades

ii) Curtis turbine isA) reaction steam turbineB) pressure velocity compounded steam rurbineC) prcssure compounded impulse steam turbi-treD) velocity compounded impulse steam turbine

I of4

(04 Marks)

A) Enthalpy of saturated waterC) Enthalpy ofdry sahrated steam

(06 Mm[s)

Find the enthalpy of heat in 2 kg of steam at 0.9 bar and 85% quality. Use the properties of

10EMEr4/24

iii) Mechanical efficiency ofa gas turbine plant as compared lo [C engine is

A) hieler B) lower C) same D) unpredictable'

iv) Pelton turbine is aA) reaction turbineC) tangential flow turbine

B) gas tuftireD) miied flow turbine

b. with a neat sketch, exptain t-he working ofa Pelton wheel.

c, Explain with a neat sketch, the working ofCudis aud Moore impulse turbirc'

d. What are the advantages of gas turbines over IC eagines?

C) diesel ard petol mixtue D) air.

(04 MarkB)

(06 Marks)

(06 M.rks)

(04 Marks)

3 a. Choose the corect a.nswer:

. i) The combustioo of fuel in petrol engine lakes place at

A) constant plessule B) collstaB1 volume

C) con$anl lemperature D) none ofthese'

ii) In a four stoke engire, the number of rotations of the crank shaff to complete a

uorking cvcle isA)l B)2 c) 3 D)4

iii) In CI engine, during the suction stroke

-

is sucked in to the cylinder'

A) diesel B) diesel and air mirtule

iv) ScavetrsiDg is employed in

-

.- a)4-sdotJ petroiengine B) 2-stroke petol engine

C) 4-stroke dieset engine D) Noue ofthese. (04 Ma (s)

The following observations were recorded dwing a test on 4-shoke diesel engine:

Bore=200nri; Stroke=250mm; Meaneffectivepressure=06MPaBrake drum diameter = l.2m: Net brake load = 500N ; Speed ofcrank shaff = 600 rpm

Find, i) lndicated power ii) Bmke power iii) Friction power iv) Mechanical efficiency'. (10 Mark)

Name the rhermod]'namic cycle of petrol engine. Draw the PV diagam of the same

indicating various Focesses. (06 Marks)

4a. Choose the corgct aNnr'eri) coDverts vapour reftigerant into liquid reliigerant.-

A; Co-pr"ssor i!) Evaporator C) Condenser D) Mltor'

ii) Thrcttle valve is used in a rcftigerator to

-

.

A) compress the refrigerant B) expand the refrigerant

C) absorb the heat ftom tlrc refrigeranl D) condense the refrigerant

iii) Which ofthe following is not a desirable property ofa reAigerant?

A) High latent heat ofvaporization B) Hieh ft€ezing point

C) Low viscosity D) Low speci{ic volume

iv) The purpose of air conditioning is toA) control temperatrEe B) conhol huoidityC) clean and purifo air D) all the above. (o1M&rks)

With a ueat sketch, explain the working of room air conditioner, (10 Mrrks)

Explain vapour absolption reftigeration system with a neat sketch. (06 Maik)b.

c.

2of4

PART - B

l0EME14i24

5 a. Choose the correat answer:i) is not a pad ofcarriage assembiy.

A) Apron B) Compound slide C) Toolpo'st D) Tail stock

is the operation ofseparating a piece of firished work liom the bar stock.ii)A) Paning .B) Facing C) Tuming D) Ituuriing

iii)

-

is the process ofenJarging the previously drilled hole,A) Reaming B) Boring C) Tapping D) Spot facing

iv) is the ploc€ss of getremting intemal threads.A) Reaming B) Borine C) Tapping D) Drilling. (0a M.rk)

b. Sketch and explain the lollowing operations ofa drilling machine:i) Boring ii) Counter sinking iii) Tapping iv) Spot facing

c. Lisr lhe specifications ofa lathe.

a. Choose tbe correct answer:i) In _ process the dlection of rotation of cutter and the direction of feed of tlrc

workpiece are opposite to each other.A) Conventional millingC) Climb milling

ii) Milling culter ia horizontal milling machine is held inA) Over arrn B) Column C) kbor D) Knee

is Dot an abrasive material used in gfinding wheels.iii)

(12 Mrrks)

(04 Mrrks)

(10 Marks)

(06 Mrks)

A) Emery

iv) In_wheels.A) cyliodrical aentreC) sudace grinding

B) ceotreless cylindrical

B) Down millingD) None ofthese.

B) brazingD) arc welding

B)Aluminium oxide C) Corunduur D) Gaphite

grinding the workpiece is held over a work rcst itr between two g nding

D) None ofthese (04 Ma*s)

b. Draw a schematic sketch of horizontal milling machine and briefly explain the fimctions ofits main parts.

c. Sketch and explain centreless grinding.

7 a. Choose the corect 6nrswer:i) The metal used ro make the brusb is

-.

A) Mitd steel B) Gun metal C) Cast iron D) Copper

iJ) Wick lubrication works on the principle of

-.

A) gravity flow B) forced flow C) siphon D) fiee flow

iii) Spelter is used inA) solderingC) resistance welding

iv) Gmphite is used as

A) filler material B) flux C) spelter D) lubricant. (04 Mark)

b. What are the differcoces betweel soldering and brazing? (05 Marks)

c. Explain with a neat sketch sptash lubrication. Where is it used? (05 Marks)

d. What are the advantages and disadvantages of slidiog colltact beadngs? (06 Marks)

3 of4

t0Eis{Et4n4

8 a. Choose the correct answer:i) belts are acid and water proof.

A) Leather B) Balata C) Textile D) Canvas

arrangemeat enables a machine to be started or stoppgd at will, withouli0stopping the belt run.A) Frictiol conesC) Fast and loose pulley

B) Compound belt driveD) Jockey pulley.

iii) In simple gear tain, ifthe number of idler gears is od4 tlen the direction of rotationof &iveo gear willA) be opposite to thal oftbe drivir:g gearB) depends on the number of teeth on the driving gearC) depends on the speed of driviog gearD) be same as that oftlrc driving gear.

iv) Mitre gear is a rr?e ofA) Spurgear Bt Helical gear ClBevel gear D) Wor6 gear (04 Mrrb)

b, Dedve an expressior for lengtl ofbelt in cross belt drive. (08 Ma*s)

c. In an open belt drive ara.ngemenl, the speed of driver and driven pulley are 1000 rpm ad750 rpm respectively. If the diaueter of driver pulley is 600 rnm, detemine the diameter ofdriven pulley

i) withoul coosidering the rhickness ofbelr and slip. ii) by considering the thickness ofbelt, assuming the thickness ofbelt as 10 mm.iii) by coosidering both thickoess ofbelt and slip, assuming tbe thickness of belt as

l0 mm and overall slip as 5%. (08 Mrrks)

4of4

USN 10ELEl5/25

D)V=rR.combination of 10 O and 15

in circujt, when cune[t of 2

D) I15200

- FirsUSecond Sernester B.E. Degree Examination, June/July 20llBasic Electrical Engineering

Time: 3 hrs- Max. Marks:100

I a. Choose the coEcct answer:i) As per Ohms law

A)VctI B)VdR C)IaR

Note, L Answet FM full queaions ehooslng a, leost th'o fiom each pdtlL . nswer all objective lype questioni onl! in OMR shea page i of the onf|,ser booklet,3. An$tet lo objeclite type questions on sheets other than OMR wi not be vslued.

PART-AE

?E

g

8r

5gfragE

!EIE

EE

B=

c9

ii) A 2 O resistq is connected in series *,ith parallelrcsistors. Then heat dissipated in kWse,: for t houtflowing in 2 Q resistor is.A) lls.s B) 1.1s2 c) 11.s2

new reactance is,A)5O B)2.5O c)l0o

The flux linkage

A) 1/_/ JL,L,

iiD between the coils is maximwu, when m = ?

B) .Etl, C) !-1 - L2 D)Lt/L2.

B) 175 V c)200v D)22sY.curent is given by I = Id Sin2ot. Then ftequency of the altemating

iv) If the energy stored in a coil is 2 joules foi a cunent of 2A. flowing, ttren the inductanceof coil is,A) 0.01 H B)0.1H c) IH D) loH. (04 Marks)

State and explain Kbchoffs lews as applied to DC cirauits. (06 Marks)

Explain Fleming's righl hand rule and Fleming's lefr band rule as applied to electdcalmachines. (06 Msrks)

Find the self iJductance of a coil of 200 tums, core tube of 25 cm leagth0to5.4

(04 Msrk)atrd 5 cn! radiu,9. Also calculate energy store rises from(Ur for paper = l).

2 a, Choose the coEect answer:i) GiveD (8 +j6) x ( - 10 -j7.5), then rhe result

A) lz.s l-143.1 B) 125 l-106.2" c) I 12.s llt43.1

ii) An altemating emf is given by e = 200sin3l4t. The instadaneous value of emf att = l/200 sec isA) lso v

iii) An altematingcurent is,A) @lt\ Ez B) 2a/nHz C) aDtcHz D) none ofthese

i9 The reactancc ofa capacitor at 50 Hz is 5e. Ifthe fiequency is increased to

b.

d.

D)2s O.

100 Hz, the

(04 M{rl(s)b, Define aveage and RMS value of all altemating current and find their relation with max

value, ifthe altematiog quantity is sinusoidal. (0r Marks)

it:!,t

I of 4

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Time: 3 hrs.

t0clYt3/23

Max. Maxks:100

First/Second Semester B.E. Degree Examination, June/July 2011Elements of Givi! EngineeritE and

Engineering Mechanics

b.

c,d.

-sE

t9

5d

44

iE

a3

9E

,i

gz

n"n, l. 1::i.!.ri! lIVE fu Questions, choosing at leost tteo lrom each part.z. A_nswer afi objecrive tJ)pe questions onry in oMR sheet-page 5,0[.rh? answef boor{let,3. Ahswer to obiective qpe questions on inun un", tnri 6'iiliiirrt o. uar"a.

PART_AI a. Choose your answers for the followins :i) Geoteclnical engineering involvls the studv,rfA) Buildiag B) Soil c) Air D) Au the aboveii) Buildiog tarks and dams and carrying stored *'at". to nad is:t r,o*n u.A) Sructual eng;Deering B) Environmenul engineering.C) \lrater tesources and irrigation engg. O1 Conrra*,io, t""hofogy.iii) The. srructure which provides p^ruli or". ,i,"

"t.t*f".,ifL" "atey, dver without

closing lie way undemeath is:A) Dam B) Bridge

iv) Highways which are superioi tovolume oftraffic is very high are:

C) Harbour D) AimorrNational Highwals and ars prorided wherever

A) State highways B) High volume roadsC) Air ways D) Expressways

b.

c.

(04 Mark)

(10 Marks)(06 Marks)

ExplaJn brie0y rhe scope ofcivil engireering in:

". - ^]]Y1:. *.:*"es engineering: ii) Ceolechnicat engineeringt\ptaln drllerent t)?es ofroads.

Cboose your answers lor the l'ollowiie :il Mic_h of fie following is rhe baiic concepr ol mechanics:A) Charge B) Power C) Forcei, When more than three cotrcurrent forces are i"

"quiiit.i"_, "a""t ttJD) Energy

satisfied.A) All the forces mtlsr have equal map1itude.B) Poiygon representjng Lhe forces wil nor close.C) The lasl side oflhe polygon will represenr lhe resulranr.u, rotygon representing the forces will close.tllecl ofa force on a body depends Lrpon its:A) Direction B) position C) Magdtude

iu)11.:1.-::::]"]:llotane ald;,rlthe forces u"t'i,"rtE_rrf""o*".,h;;;;. ffi"."A) Coplanar non-concurent forces B) Coplanar conunent forcis

D) Nou-coplaaar.lon-concurent forcesC) Coplanar parallel forces

state and explain basic idealization in mechanics. (04 Mrrk)Dehne a couple. Menti", it, "r,*""t"i1i"..

(06 Markr)

A 100N verticle force it "ppri"al"

J" "ra "f

a rever which is,a{aphe;4* "

.naft ".(:imTlFig. Q2 (d), determinei) The moment offorce about O.ii) The horizontal force applied at ,A, which creates sarnettlomeDt about ,0,.iii) The smaliesr force appiied at ,e, which c."",",

""il*--i"*r""t"ri:ol. ,ou r**y1of4

l0ELErs/25

In a series parallel circuit, the two paratlel branches A & B are in series with C. Theimpedances are ZA - (10 - j8)O, ZB = (9 - j6)Cl &k = (3 + j2)O. Thc voltage acrossbranch C is 100V. Fitrd the cuEetlts IA & IB ald the phase difference betwe* *"-"r

r""o,

3 a. Choose the corect €urswer:

i) When power factor is 0.5, the watbreter rcading is such thatA) wr = wz B) w1 is +ve, w2 is -ve C) wt is +ve, w2 :0 D) wt = 2 wz.

ii) The relatioo between line and phase quanrities in a delta connection is

iii) The angle b€tween line voltage and phase voltage for a'balanced star coDnected ctcuit isA) 30. B)30"+0 c) 60. D) 120".

A) Er = f Ept, i1: Ipt

c) E1= f Eer,,Ir: .,Elpr,

A) by pass the currentC) improve conductivity

B)Er.qh,&- a6leh

D) Er= E 1', Ir= Ierr.

B) avoid melting of the saltD) to hold moistue content.

d.

iv) In a 3S system, if the instantaaeous value of phase R and Y arc +50V and -40Vrespectively, then iDstantaneous volUge ofphase B isA)-20V B)40V C) 120 V D) trone ofth€ above. (04 Mffkr)

b. What are the advantages of30 AC isystems over l{ AC system? (04 llIIIks)

Show that two wattmete$ are sufficient to measure 3$ power for balanced 3{ power system.(06 Mrrkr)

Three coils each of impedancc 20[[ are connected in star to a 3 $, 400 V, 50 I{z supply.

Find the reading oll each ofthe two wathtreters aouleeted to mcasule the power input.(06 Ma*r)

a. Choose the correct anslrer:i) Under no load conditiorL the revolution of the disc due to kinetic energy of an energy

meter can be blocked byA) Brake magnet B) Electroma$etC) Creeping hole with Biake magret D) Copper shading band.

ii) The minimum fushg cunent ofa flrse yrire is 2.1 A and firsi4 factor is 1.1. Theq therated caryiog culrerlt of the fiue element is,A)2.2 A B) 2.31 A C) 1.909 A D) 0.5238 A.

iii) Coke cao be used as a sandwich berween sait ofao eanhing system, to

iv) When the pointer of an indicatiry instlument coDes to rcst in the final deflectionposition. rhenA) Only coatrolling torque acts B) Only deflecting torque actsC) Both torques act D) None ofthese. (04 Mcrk)

b. With the help of a neat diagram, describe the coDskuational features and yorking of adymmometer type wattneter. (06 M.rk!)

c. With a ncat sketch, explain any tfuee types of wiring. (06 Markr)d. What are the precautions to be taken to prsveot eleatdc shock? (04 Mrrk )

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10ELE15/25

5a-

PART - B

Choose the colIact answer:i) The yoke ofa DC machine is made of

A) Silicon steel B) Soff iroa C) AttEiuu0 D) Cast steel.

ii) Carbo! brushes arc used iu a DC machine becauseA) Cerbon lubricates and polishes the commutator B) Contact resistance is decreasedC) Carbon is cheap

iii) The efficiency of a DC generator meaos itsA) Electrical efficieucyC) M€ehaEioal effiei€ncy

D) none ofthese.

. B) Overall efficiencyD) Irlcne of&e above.

iv) A DC motor is still used in industrial applioations because it isA) Cheap B) Simplc in constuctionC) Provides fine speed conhol D) none oftbese (04 M.rk)

Explain with a oeat sk€tch the cosstuctio[al features of a DC machiie aad mention thefirnction ofeacbpart. (05 M.rk!)What is the significance ofback emfuader no load and firli load condition il a DC motor?

A 4 pole Dc shunt motor tlkes 22A ftom 22ov supply. The armature and fie" ;:lffi:are respectively 0.5 O and 100 O Espectivcty, The armature is lap couected with 300conductoB. Ifth€ flux per pole is 20 mWb, calculate tbe speed and gross torque. (07 Msrk!)

6 a. Choose the correct auswsr:i) A transfome! trqnsfers electrical energy ftom primary to secondary usually with a

change irA) ftequency B) powo. C) voltage D) tine p€riod.

ii1 when the supply ftequency of a transformer is doubled then the hystersis losses

b.

iii) Regulation and efficiency ofa transfonner should be respectively

A) remain sameC) reduced by 50%

A) hish, highC) low, hieh

toad isA) 400 w

B) doubledD) hystersis loss equal to €ddy curent loss,

B) higlr, lowD) lqw, low

iv) The firll load coppu loss for a transformq is 800 W, then the coppe. loss at halfthe firll

B)800w c) 200 !t/ D) t600w

What arc the various types of l.sses urd how to overcome these losse, in " *fot.f".o,

The max. emciency at full load anrl upf of a I 0, 25 KVA 500 /1000 V" 50 Hz, transfonneris 98%. Detemine its efiiciency at i) 75% load, 0.9 pf ii) 50% loa4 0.8 pf iii) 25% loa{

(0{ Msrks)

b.

0.6 pi

3 of 4

(08 Mrrls)

7 a. Choose the corect answer:i) The stater ofan altemator is identical to that ofa

A) DC generatorC) single phase induction motor

ii) The field windirg ofan altemator is

B) tbree phase induction motorD) none ofthese.

excited.

I OELEI5/25

(04 Mrrk)

spe€d is 100 lpm a&d ile

D) ts%.

wound inductioa motor in

D) 1.

squirrel cageindr.:ction

A) DC B) AC C) Both DC and AC D) none ofrhese

iii) High speed attemators are driven byA) diesel engile B) hydraulic turbines C) steam tubines D) none ofthese.

iv) The disadvantages ofa shofi pitched coils in an altemator is thatA) harmonics are introduced B) uaveform become non sinusoidalC) voltage round the coil is reduced D) none oftle above.

b.

c.

8 a. Choose the cofiect a0swer:i) The differen;* tletuitll s],ncbmnous sp€ed aad actuel

synchtonous sr.,1e*..j i:1 150C i-pm, the.n the vatue of slip isA)2o/s B)ta% c)6.66%

ii) Extemal resisaace is eoonected to the rotor of a 3$ phaseorder to

IDerive an expession for emf equation ofan altemator. What is tle necessity of consideringpitch factor and distribution factor for enfequation? Or Msrks)

A 12 pole, 500 rpm, A comected altemator has 60 slots, with 20 conductors per slot. Theflux per pole is 0.02 wb and is distributed sinusoidally. The winding factor is 0.97. Calculatei) frequency ii) phase emf iii) line enf. (0s Mr.ks)

B) collector cwrentD) nono ofthese.

iii) When the rotor of a 3{ inducrion molor is blocked, the slip isA) zero B) 0.5 C) 0.1

iv) Phase wormd induction luotols are less extensively used thatrmotots because,A) slip rings are required on the rotor circuitB) rotor windings are generally star contrectedC) they are costly and require greater maint€nanceD) none ofthe aboye. (04 M.rlc)

b. Explain the working principle ofa 3$ induction eotor and give reasons ibr..An induction

A) reduce startitrg cu.rentC) as a star conneaed load

c.

d.

motor can not run at syrchronous speed,'.

Define slip. Derive aII expression for frequercy of rotot current.

An-8 pole altemator runs at 750 rpm, and supplies power to a 6 pole, 3$which runs at 970 rym. What is the slip ofthe induation nootor?

4<tf4

(06 Msrks)

(04 Msrks)

induction motot(06 M*rks)

USN

B

zuu Y

---_bFig.Ql(d)

06ELE15/25

(04 Marks)(04 Mark)

mutual induction. Write one

D) R-C circuit

D) Joules (04 Marks)

First/Second Semester B.E. Degree Examination, December 2O10

Basic Electrical Engineering

Time:3 hrs. Max' Marks:100

Note. 7. Answer dnv FIYE full q estiot s, choosing at least tt'o from each port'2. Answer at[ obieetiie tyie questions onlt on OMR shee, page S oflhe answer booklel3. Answet lo objective 4/pe questions on sheets other than OMR b'ill not be valaed

PART _ A

I a. Select the correct answer:i) Poladty ofvoltage &op across a resistor is determined by the

-

A) Vatue ofthe resistor B) Value ofcurrent through resistor

C) Direction ofcunent through the resistor D) Polarity ofvoltage source'

E

E

39

Ed

E

tq

'!a

d.g

ait

6tl

-..i .i

z

e

ii) If 125V is applied across a 250V, 100 W bulb, the power consumption will be

A) 100 w B)50W c)25W D) l2.s wiii) A coil of 1500 tums gives dse to a magnetic flux of 2.5 mWb, when carrying a certain

current. Ifthe curent is reversed in 0.2 secs, the average emfinduced in the coil is

-

b.c.

d.

A) 18.75 V B) 37.5 V c) 12.5V D1 None of these

iu) The direction ofind,rced emf in a coil is detemrined byA) Faraday's law B) Lenz's law C) Fleming's left hand rule D) Ohm's law

Derive an expression for the energy stored in an inductor'Deftne the coefficient of coupli-ng and the coeflicien[ ofexpression for each. (04 Marks)

Two batteries are comected as shown in Fig.Ql(d), to a 200V supply. Battery A has an emf

of l10V and inlemal resistance of 0.2 obm Battery B has an emf of 100V and intemal

resistarce of 0,25 ohm. Determine the magnitude and direction of the curent in each battery

and the total curent taken ftom the supply. (08 Marks)

Ar----l

-lr--

2 a. Select the corect a.nswer:

i) The RMS value ofa halfwave rectihed sine wave is

A) 0.707 Em B) 0.5 Eln C) 0.637 Em

ii) The real and imaginary part of admittarce are calledA) Resistance and rcactanceC) Conductance and reactance

iii) A coil ofpower factor 0.6 lag is represented as

A) R cbcuit B) L circuit C) R-L circuit

iv) The unit of apparent power is

-.

c) vA

I of4

B) Conducta[ce and suceptanceD) Resistance and suceptance

D) 1.1 I Em

A) Watts B) Vars

PART _ B

5 a. Selecl lbe correcl answer:i) The amrature ofa d.c. machirc is made up ollaminaled sheets

A) reduce armature copper loss B) reduce eddy cunent loss

C) collecting the current from armatule D) reducing the friction.iv) The back emfof dc motor at the moment of starting is _

A) maximum B) zero C) minimum D) Optimum.Show that speed of a dc motor is directly proportional to the backproportional to the flrL\/pole.Mention the classification ofd.c. gen€rators.A 250V shunt motor on no-load, runs at 1000field resistances are respectively 0.2 ohm andwhen loaded and taking a curent of 5OA, ifthe

6 a. Select &e corect answer:i) Ar ideai transfonaer does not change _ .

i) Synchronous speed of an M can beA) reducing the mechanical frictionC) incrcasing the number ofpoles

increased by

A) voltage B) power

iii) The volts per tum in the p mary winding of a transfomer isin the secondary.

O6ELE1SI25

in order to

(04 Marks)emf and inversely

(04 Marks)(04 Mark5)

rpm and takes 54. The armature and shunt250 ohm. Calculate the speed of the motorarmature reaction weakens the field by 3%.

D) None ofas

the volts per tum

C) reduce hysteresis loss D) increase the dissipation ofheat.ii) ln a d.c. series motor, the torque developed is 20 N.m at l0A. If the cunent is doubied

Lhe neu rorque will beA) 60 N.m B) 40 N.m C) 80 N.m D) 100 N.m

iii) Commutator in a dc generator is used forA) co[verting dc to ac B) changing ac to dc

b.

c.d.

C) currentii) The copper Ioss ofa certain transforner at half full load is measured

copper loss at full load will beA) 800 w B) 200 vr' c) 400 w D) 1600 W.

A) less than B) same as C) more than D) none ofthese.

c.

d.

iv) When.a hansformer is operating on no-load, the primary applied volrage isapproximately balanced by _A) secondary emfinduced B) primary induced emfC) voltage drop irl the transfomer D) none ofthese. (ua Marks)

A 5O kVA transformer has an efficiency of 98% at firll load, 0.g pf and 97% at the half firIload,0.8 pl Detemine the firll load copper loss and iron loss. Find the load at which themaximum effieiency occurs. Also, find thi maximum efEciency. :

1os *rarmyWilh usual notations, prove that Ezl El = Il / 12 = N2 / Nr for a tansfomer. (06 Msrks)Define regulation ofa tansformer. What is its sigdficarce? (02 Marks)

Select the corect answer:

B) increasing the supply voltageD) incrcasing the ftequency of supply.

ii) A 4 pole, 50 Hz, induction motor rLrns at a speed of 1440curent is _A) 3 Hz B) 2.5 Hz C)2Hz

3 of 4

rpm. The liequency of rotor

D) 1 Hz.

oF.--rii\---ir.\.Nar' - 13rr?-t

- ' J1fhen tES;-_,/..:,.//

K*il. r'OILtm\W

\--

c

06ELE15/25

With usual notations, prove that power connected in a R-L or R-C series circuit is Vlcoso-

A curent of 5A flows through a non-inductive rcsistance, in se es with " ":THf]supplied at 250V, 50H2. The voltage across the resistance is l25V and across the coil 200V.

Find the resisfance and reactance ofthe coil and the power absorbed by the coil. (06 Mark)ln the arrangement shown in Fig.Q2(d), calculate the impedance across AB and the phase

B) the p.fl is less than 0.5D) the phase sequence is reversed.

angle betwees rhe vollage and Ihe currenl. (06 Mark,

3 a. Sclect the correct atswer:i) The algebraic sum ofinstantaneous phase voltages in a 3-phase circuit is

A) Three times the phase voltage B) Line voltageC) Zero D) None ofthese.

ii) One wattmeter used in a 3-phase circuit shows negative reading when (measurement ofpower) _A) connections are wrongC) the load is resistive

iii) A balanced delta comected load consumes more power than star connected load(load/ph is the same) because

c.

1a.

that of a single phase equipment lbr the samepowei capacity.A) same as B) bigger than C) smaller than D) nonc ofthese. (04 Marko

b. "Bo1h the power and the power factor in a 3-phase circuit can be measurcd using iwowattmeters"" Provo this giving relevant circuit and vector diagram. (10 Mark)A balanced 3-phase star coinected load of 150 kW takes a leading curent of 100 A, with aline voltage of 1100V, 50H2. Find the circuit conslants ofthe load per phase. (06 Mark)

Scleot the conect answer:i) An energy rnetq is classified under

A) power factors are differentC) delta is a closed path

iv) A 3-phase equipmelt has a size

A) indicating instrumentC) integating instrument

B) line current is moreD) none ofthese.

B) recording instrumentD) none ofthese

ii) The damping force is an instrument toA) oppose the deflecting forceB) oppose tie controlling forceC) to bring the pointer to steady position quicklyD) to prolect the instrument

iii) The earth potential is always taken as

A). B)0 c) 10vfor ali practical puposes.

D) -10 Viv)

A) protective deviceC) voltage limiting device

b. With a neat cicuil diagram,wattmeter.

B) currcnl limiling deviceD) unnecessary part ofa circuit. (04 Mark)

explain the constructiofl and operation of a dynamometer(07 Marks)

c.

d.Give a circLlit diagmm and switching lable for tkee way contml. \l'here is i1 used?(06 Marks)What is earthing? Whal are the merits ofearthing? (03 Mark)

2af4

84 J rcJL

1J, x9 tL

Fis.Q2(d)

06ELE15/25

iii) The roto circuit of a 3-phse induction moto! underrurning condition is

c.

d. Why an induation motor needs a starter?

' B) alwaYs oPenA) always closedcli irlr?,irn"t "r"*a

*<l sometimes open D) None of these'

iv) A 50 Hz, 3-phase induction rnoto' '-ri.'d"'

full load has a sleed of 720 rpm Then the

number ofPoles of motor is equal to

A) 2 B) 4 "

C) 8 ' D) 16' (04 Marks)

r'roi#the working p'io"ipt" of u :-pt'u"" na'"tion motor' Derive the relationship betweeo

i'.l'fi*;.;;i;;il;:*::.13:i"-,:lJ;ljHJ;T:H," ",_on*,"0*n-'*'"[ll'Explain lhe process of productng me rc (06 Mark)

b.

(02 Marks)

8 a. Select the correct aflswer:" " ii an ut,"-ator field stnrcture is normally of

-'" i;##; ;;

"si'*a-;s'vP"'cf irffiryp' D)Noneolthese'

ii) Non-salicnt pole D?e rotor ofan allemator has _-' lt larser diameteiand long axial lenglh

ei i.itt., oiu'"r"' -d long axial Iengrh-

lii*n"t aiurntttt uoa smaller axial lengrh

ni .-?ii"i aiurntt"t und smaller axial len$h

mf equatiotr of an altemabr because .-iiil Winding factor aPPears tn e

A) winding is concenhated

Bl coil is tulI PitchedCi*inOi"e it aisrif'led and shon pilched

Of *ioai'"g it ut"oro'odaled in the stator'

iv) A 4 pole, 50Hz syncfuonotrs allemator is made to run al --A)700rpm sr r+ioffi C) l500rpm D) 1000rpm (04Mark)

b. With the help of sketches' explain the different pads of an altemator' Mertion their salient

featues. (08 Marko

c. A 6 pole. 3-phase' star connecled altemator has an armature r-tith^90 slors and l0 conduclors

ner stor. tr revolves ar 'rr,

*'il it"'iir- p* p"i" ii o os wb-,calculate the emf generared

IIi il;. ii#ffii"e r'"';''i' 0 ni ;J ill conductors in each phu'" u'" in '"'i'io, *".*,

4of4

TISN

IOCIPI8

Question Paper Version : D

First Semester B,E. Degree Examination, January 2011Constitution of lndia and Professional Ethics

Time: 2 hrs, Ma-t. Marks:50INSTRUCTIONS TO THE CANDIDATES

Answer all FIFTY questions; each question carries ONE Mark.

Use only Black ball point pen for darkening the circles.

For each question, after selecting yow answer, darken the appropdate circle

corresponding to t}Ie same question number on the OMR sheet.

Darkening two circles for the same question makes the arswer invalid.

Damaging/overwriting and using whiteners on the OMR sheet arc strictly

prohibired-

1.

2.

,

3.

4.

"Whatever develops our moral virtues is ethical', is the principle ofa) Juslice approach b) fught approachc) Utilitarian approach d) Virtual approach.

Intentionally causing harm is rclated toa) Legal responsibility b) Moral responsibilityc) Both (a) and (b) d) None ofthese.

NSPE denotesa) Narional scheme for prolcssional ethjcs.b) National societ) for prolessional engineers.c) National secrorwise programme efficiency.d) \alioDal scheme lor professional engineers.

'Retaining only those results that fit the theory and discarding others,' isa) Cooking b) Trimming c) Forging d) plagiarism.

The diagram ofthe possible ways in which, an accident occuls is represented bya) Blue print b) Fault hee c) Flow chart d) None ofthese.

Vicarious liability isa) A person held liable for actions committed by him.b) A person held liable for actions not committed bv him.c) Both (a) and (b)d) None ofthese.

-D1 -

IOCIPl8

)7

23

24

2l Rights are available against the action ofa) Public authorityc) The state

a) Filing l'vTit pelitionc) Filing civil suit

25 Uniform civil code meansa) Civil law applicable to common man.

28 Cow slaughter is prohibited under

b) Private individualsd) Judicial authority

b) Filing criminal compleind) No remedy.

'By applying equal laws to persorN who ale not equal, inequality is made'. this is quoted bya) Pluto b) Jevons c) Aristotle d) Ambedkar.

Public interest litigations can be filed undera) l.]tlcle 42 b) Article 28 c) Article 32 d) Article 30.

What is the remedy available for the breach of fundamental duties under the constitution?

26

b) Common law applicable to citizens' personal and public life.c) Codified 1aw applicable to all persons of lndia inespective ofreligion.d) Common lau applicable to Hindus and Muslims.

The object olorganizing village panchayat is to bring outa) Indirect democracy.b) Equality amongst men al1d women.c) Democracy at grass root level.d) Awareness of fr-rndamental dghts amongst rulal people.

Funalamental dulies are discussed ina) Part III b) Pan IV

27

,o

30

34

c) Part III (A)

c) Article 42

d) Part IV (A).

d) Article 42 (A).h) Alticle 48

Minimum age to contcst Loksabha eleclron rs

a) ;Article 46

a) 25 years

a) 5 years

b) 30 yea$

Who is supposed to take the oath oflhe ne1vly elected President?

c) 32 years d) 35 years.

a) Prime Ministerc) Outgoing president

b) Chaimran of Rajyasabhad) Chief Justice of India.

31 Wlat is the tefm ofoffice ofthe Rajyasabha members?d) 6 years.

How is the President removed ftom the office?a) No confidence motion b) Order ofthe ChiefJustice oflndiac) Order ofthe chiefAdvocate General oflndia d) Impeachmeut motion.

Ordinance making power lies witha) Presidentc) Attomey General oflndia

Who presides over the cabinet meeting?a) Speakerc) President

House of states isa) Rajyasabhac) Rashtrapathi Bhavan

b) 4 yea$ c) 3 years

b) Vice presidentd) Chiefminister ofthe concemed state.

b) Pdme ministerd) President ofthe concemed political party.

b) Loksabhad) There is no such state in India.

35

-D3

10cIPl8 "36 Educational qualification to become a MP isa) Highersecondary b) Pre ruriversityc) Undergraduation d) None ofthese.

37 How many readings a bill has to cross. in each houle. lo gcl passed?a) Two b) Four c) Five d) Three

38 Present ChietJuslice otlndia isa) Justice Markandeya Katju b) Justice Lokanathanc) Justice Balakrishnan d) Justice Homi Kapadia.

39 'Gubematorial' could be a position ofa) The pesidert b) ChiefJustice ofhdiac) Govemor d) Speaker oflok Sabha

40 Number of MPs ftom Kamatake isa) 24 b) 26 c) 28 d) 29.

41 Maximum number ofministers in the cabinet ofa state isa) 18% ofthe total number ofMLAs b) 12% ofthe total number ofMLAsc) 15% ofthe total number ofMLAs d) 14% ofthe total number ofMLAs.

42 Which article empo*-ers the President to impose nalional emergetcy?a) 360 b) 352 c) 359 d) 3s6.

43 Mrs. India Gandhi imposed national emergency on the grounds ofa) Public disturbarce b) Extemal aggressionc) Financial breakdorm d) Intemal disturbance.

44 Free and compulsory education for children is to be Fovided ufltil the age ofa) l4years b) 2l years c) 18 years d) 12years.

45 National women's commission Chairperson isa) Renuka Choudhary b) Pramila Nesargic) Sushma Swaraj d) cirija Vyas.

46 How much period can the term of Loksabha be extended, during e nergeDcy, at a time?a) One year b) Three monthsc) Six months d) Nine months.

47 Promotion ofSCs and STs was added to the constitution bya) 64d Amendment b) 77th Amendmentc) 2lsrAmendment d) 14th Amendment.

48 'Fear' is an impediment toa) Accountability b) Transparancy c) Liabilif d) Responsibility.

r 49 Patent dght holds good fora) 50 years b) 40 years c) 20 years d) 10 years.

50 Failure to seek out the truth isa) ExaggeEtiog the tuth b) Abusing the truthc) Misusing the truth d) Falsifiing the trulh.

-D4-

7 'Not setding for less than what you deserve, isa) Honesty b) Dharma c) Inregrity d) Eligibility.

8 Jingle associated products rcpresenta) Trademark b) Copfright c) patent right d) Trade secret.

9 A grrl can marry only affer attaining lfus agea) 16 b) 20 c) 18 d) 21.

10 Election commission oflndia isa) One member commission b) Two member commissionc) Multimember commission d) None ofthese.

I I The source olauthoriry ofthe hdian consritution isa) The Govemment b) The Supreme Corrtc) The people oflndia d) The President

12 The credit ofdeveloping the preamble ofthe constitution goes toa) Mahatma Gandhi b) Pandit Nehruc) B.R. Ambedkar d) Sadar?atel

13 This could be a ground for resewation ofpostsa) Language b) Colour c) Residence d) Family base.

14 Right to property is aa) Fundamental right b) Legal right c) Moral dght d) Ordinary right.

15 Double jeopardy meansa) No prosecution and prurishmeot for the same offence more than once.b) There can be prosecution and punishment for the same offence more than o[oe..) Double benefit.d) Same punishment for twin offences.

16 The first right under article 22 isa) fught to consolt accused persons' own lawer.b) Right to be produced before a magistrate.c) Right to be infomled of ground of arest.d) Right to converse with family members.

11 This is the custodian offundamental rightsa) Civil cowt b) Supreme coultc) State Govemment d) Cental Govemment.

18 Mandamus writ lies againsta) Public authority b) private personc) Erdry potiticiaos d) Erdng social workers

19 fught to education is contained in articlea) 20 b) 21 (A) c) 21 (s) d)21.

20 Coirstitution ofthis country is the oldest and the shortest :

a) UK b) Russia c) Germany d) USA.

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USN

06crP18/28

Question Paper Version : C

I / II Semester B.E Degree, Examination' June/July 2011CONSTITUTION OF INDIA AND PROFESSIONAL ETIIICS

(COMMON TO ALL BRANCHES)

Time: 2 hs.l [Max. Marks: 50

INSTRACTIONS TO THE CANDIDATES

1. Answer atl FIFTY questions; each question carries ONE Mark.

2, Use only Black balt point pcn for darkening the cifcles.

3. For each question, after selecting your answer, darken the appropriate circle

corresponding to the same question Dumber on the OMR sheet.

4. Darkening two circles for the same question makes the answer invalid.

5. Damaging/overwriting and using whiteners on the OMR sheet are strictly

prohibited.

t. PIL means _a) Public Individual Litigationc) Public Interest Litigation

This is not dishonesty in engineeringa) Forging b) Blending

3, Risk estimation can be done by using

-

a) Riskometer b) Event tree

4. Begar mears _a) a person who begsc) difEcult work

5. Uniform Civil code meansa) Code for Civil Uniformc) Uniform for civil servants

a) Self- direction vituesc) team work virtues

7. The President oflndia is rcmoved by _a) No conlidence motionc) Order of Dismissal

b) Private Intercst Litigatiood) None ofthese

2.c) Trimming

c) 'R'Tree

d) Cooking

d) Evaluator

6. Courage, self- discipline, integdty are examples of-

b) forced work without payment

d) art ofbegging

b) Code for civil servantsd) Common Civil law for all citizens

b) Public spirited virtuesd) Proficiency virtues

b) knpeachmentd) Order ofRemoval

-cl

06cIP18/28

8. The ovyner ofthe 'Patent ght' retains his patent for

-

yea6.a) 50 b) 100 c) 20 d) r0

9. Risk ofhamr equal to probabilily ofproducing benefit isa) Inevitat e risk b) Acceptable risk c.1 Immaterial risk d, Material risk

10. The Directive Principles of State Policya) can be enforced iu any courtb) can be enforced only in the Supreme Coutc) can be enforced only in the High Cowtd) cannot be enforced in any Cout

11. The present modhly salary of the President isa) Rs 1.5 lakhs b) Rs 90,000/- c) Rs One takt d) Rs 60,000/-

12. The minimum age for a person to be appointed as Govemor ofa state isa) 2s b) 30 c) 3s d)x

13. The Judges of the High Court are appointed bya) The ChiefMinister b) The Govemorc) The Presided d) None ofthese

14. Cultual and Ehrcational Rights under Article 29 and 30 are also called asa) Mirodty RigLts b) Majority tughts c) Legal tughts d)

-Moral

Rjghts

15. The head of&e State exccutive isa) Tbe Chief Minister br lhe prime MinisLerc) The Govemor d) Tbe president

16. Right to get poUution Aee water and air isa) Rightto Equalify U) ffigt to tife and personal libertyc) Freedom ofbasic necessities d) fught to ftee supplies.

17. The dualion offinancial emergency is_a) 6 months b) 2 months c) 3 months d) l year

18. The term ofofEce ofthe ChiefElection Commissioner isa) 5 years b) 3 years c1 4 yeam d) 6 yea$

19. The 746 Amendmelt of 1993 deals witha) Esrablishmeot of Muncipaliries

- b1 Anti defecrjon law

c) Providing ftee and compulsory educationd) Lowering the voting age fiom 21 to 18.

20, The number ofdays provided for campaigning for an election is _a) 15 days b) 30 days c) 12 days d) 20 days

21, Trade mark does not includea) Designs b) Sounds c) Slanbols d) Goodwill

22, Coppight can be retained by the au&or, after his or her death fora) 20 years b) 100 years c) 50 years d) Non" ofth"r"

-c2-

t23. Who discharges the duties of the president. in

President?a) The Pdme Ministerc) The Speaker ofthe Lok Sabha

24, _ is not a machinery which safeguaxds constitutional and civil rights of SC/ST,sa) Supreme Comt b) High Courtc) Family Coud d) N":tiona Uuman Right ComnissionVl4rich one is not an impediment to responsibility?a) Trade mark b) Copy right c) patent

The number of methods for amending the Coostitution of India are

25.

26.

27.

a)3 q4The word 'social' and ,secular,

a) 446 q 77]d

06cIP18/28Lbe absence of the President and Vice

b) The ChiefJustice ofthe Tndiad) The Law Minister

d) All ofthese

amendment.g6tl'

c)2rvere added io the preamble in the

q 42"d

d)1

b) State rark ministeNd) A1l of th(ee

list of states which have a legislalive council.

d)

29.

28. The religious freedom given under the constitution does lrot pemit a pe$on toa] Propogate his religion b) profes; his ret;io;c) P.actice his rcligion dj puchase his reigionThe expanded form of ,TADA, isa) Trade ofAlcohol and Orug fprerre.rrion.; nct.b) Terrorist and Disruptive Acticities (prcvedion) Act.c) Testing ofArms and Deadly weapors @revention) Act.d) Terorist, Atrocities and Dacoity @revention) Act.Tbe formuia of Colgate Toolhpasle' is an example ofa) patent b) rade mark c,) rade secret

30.

31.

d) copyrightThe useofintellectual property of others without thefu permission is referred to asa) plagiarism b) trinming c) cooking d) forging

32. State emergency is also called asa) Govemor,s rulec) People's rule

33. The words 'intemal disturbance, urderrebellion in the year _a) 19'16 b) 197s

34. The Union council ofMinister rcfers toa) Cabinet rank mioiste$c) Deputy rant ministers

35. In 2007, a sixrh stale joined the

b) President's ruled) Prime Minister,s rule

National emergency were replaced by,arrned

c) 1978 d) t979

\tr'hich stateis ita) Kerala b) AndhraPradesh c) Karnataka d) Assam

36. Writ jurisdiction ofthe Supreme court can be invoked under Articlea) 46 D32 c) 36 qa37, Tbe Anomey Ceneral oflndia is appointed by

a) ChiefJusrice oflndiac) The Law Minister

b)d)

The Prime MinisterThe Presided

06crP18/28

38. The number of M.L.C'S elected from the teacher's constituency axe

-39. Articte

-

abolishes titles other than military ard eduaational

b) 16 c) 18

a) l/3 of the total M.L.C'sc) 1/6 of total M.L.C'S

a) 14

40. The right against exploitatior does oot include

a) Traffic in human beings

c) child labour

41. The preselt speak€r ofthe Lok Sabha is

a) Somnath Chaterjeec) Meira Kumar

42. Fundamental duties wereAmendmellta) 42'd b)

b) l/12 of total M.L.C'Sd) 1/2 of total M.L.C's

d) 19

begarc mina.l prosecutiotr

Md. Hameed AnsariJalpat Reddy

the constitution under theadded to Pad

440'

b)d)

b)d)

IV of

43.

45.

'Cooking' means

-a) boiling uoder pressure

c) making false statements

Right to property is =-a) An ordinary rightc) A fundamental right

If a.licersing ofrcer fails to give a license

requircments, which rarit can he invoke?a) Wdt ofHabeas coryusc) Writ of Prohibition

48. Part IV of the krdian Constitution contains

-a) Fun<lamental Rightsc) Powers ofthe Union Executive

c) 34

a) 12 b)2 c) 10 d)4

c) 73'd d) 86th

retaining results which fil the theory

misusing the truth

b) A moral dghtd) A social right

to an applicant, itrspite of frrlfiUing all

writ of MandamusWrit of Certiorari

b) Emergencyprovisionsd) Diiective pdnciples ofstate Policy

b)d)

b)d)

46. Based on the mrmber of M.L.A'S, the Kamataka ministry shatl comprise of not more than

ministers.d) 40a) 43 b) 39

47. The numbet ofmembers nominated to the Rajya Sabha by the President is

49, Providing fiee and compulsory education to chil&en below the age of 14 is a

-a) Funiamental Rights b) Directive principles ofstate Policy

c) Fudamental Duty d) Alt ofthese

In order to avoid corruption, the judges of the Supreme Court, after retiremenl

a) Can practiee onty before the Supreme Courtb) Can practice beforc SuFeme Cout and High Court

c) CanBot pactic€ anfrhered) Camot pmctice before the Supreme Cowt.

-c4-

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