a't

USN 1OMAT11

y 2Ol4First Semester B.E. Degree ExamiEngineering Math

(.)()

E Time: 3 hrs. N=ryi. -' Max. Marks:100Q,.:, :i":

d,q

o -t ;a' ,''

S 'Nri'fe,; l. Answer any FIVE full qaestions, choosing at least two from each part.H "0,;i3. Answer all objective gtpe questions only on OMR sheet page 5 of the at€ ,,::.!*. ar.nfv9, o.ao vulgvoav9 eyte.Tweroovr.r

u I 3. Answer to objective type questions on sheets other than OMR will not $trylaed.^c,,^

5 $r'd

I!. : 2 4=26 t , Fr, .r, 1w:'

a,\C) X *,'dtlo!

- ,\8-= PART - AE 9 I a. Choose the correct answers for the following : (04 Marks)

AT ! / -\- ..o.[*+ntan-r+) ,;rY: r-hq*

"3f i) mt,;tJtzl'eo*cosl x+ntan-rllEs \ 4) -',;'E At A) eo. coix B) e'* sin 3x C) e- cqs6 D) None of theseotrEg ig x-s x' . *"q 'F ll) sln x = x --+---.........1s,e. t 3t 51, 7tfi, E ^\ T-- ,---r-"----,,-'.E a A) Taylor's series ' ' ) Exponential seri6*Q Meclaurin's series D) None of these

fr E- iii) In the Rolle's theorenf'ffi*41(r) = O then tf6 tangent at the point x: c is,E f A\ -^-^r^t a^..,E -b A) parallel to y-axis B) dlhlplto x-q#s C) parallel to both axes D) None of these

a; iv) If y=3*thenyn= - l*

t E ' /

il'r,**i3; '" "),r,**i- , c) 3'log3. D) 3.(log.3)'

€ € b. If x=sint, y:sinptproveth4f, (l-x')yn*, -(2n+1)xy"*, +(p'-n')yn =0. (04Marks)

A 3 c. State and prove Cauchy's mean value theoienr-inl0? 16]. (06 Marks)-;-::--

€ E d. Expand ,"f"i" 2i by u.g@eclaurin's expansrql#r' (06 Marks)

Ee.5CB

;. I 2 a. Choose the correct m$ers for the following : \ (04 Marks)

E E D Thevatueoi ri tr +*)%ir, ""''ll"'..,EE x'@

-atud 1.3g A)i - B)l ql D)oo>'H e . dr'

boe

€ g ii) The angle between two curves r = aeo and reo = b is,

EH oli B)+ c)o D)nSi t" 2 "'4 vtv

:: iii) *=(#)'.[*)' ,*r.^

o -{ n

Z ;,.,;1;,-,r,' A) Polar form B) Parametric form C) Cartesian form D) None of thb#,,sC ,'' " r- - .::..:,,"

E iv) ftlog*=--' x-* cotx'E A) I B) o c) 2 D) -2

b. Finda&b, if ,, x(1+acosx)-bsinx -t. (04Marks)' x-+0 X'c. Find the pedal equation of the curve 12 =a2 cos20 (06 Marks)d. Findtheradiusofcurvatureatanypointtofthecurve x=a(t+sint) and y=a(l-cost).

(06 Marks)

#e

Polar form

I of4

3 a. Choose the correct answers for the following :

i) If u = (*-y)'+(y- z)2 +(z-x)2 then +.+*$ i*,0x Ay Az

C) 2(x+y +z) D) 0

10MAT1I- .(04 Marks)

(04 Marks)

(06 Marks)

(06 Marks)

A)1 B) 24

qalled,"{ry41daximum

- _B) Minimum C) Saddle

_ "#,, T) Extremum

^'\=o, *=B and +=H and if AB-H2 <0 then*zuch a point is--iii) At (a, Ul i_ oy_ axay

replled,

/' ,t /' '/ .g"1, ' o_ ^_- ,' "n \ ".*j

{rO''rr.,=ff I, v,ZIm*-rrovethat ***r** ,*=o: (04Marks)Y' - (yzx) "f'^^ ax'fu 4-c. If u=4, v -Y,*#k*nshowtrrat fu,yaw.)=4 r.riry JJ,=r. (06Marks)

z x' y .[]*"y,r )

d. For the kinetic energy B = f rnu' ffhlro*imately the change in E as the mass m changes2 * *"*'from 49 to 49.5 and the velocity '-ffiffi from 1600 to 1590. (06 Marks)

=af **

4 a. Choose the correct answers nftn8i'offowing: (04 Marks)

D The value of V x Vq ffi}- *; pd a av

, "*0(u,v) ,, d(x, y)J--" 0FLy)'" d(u,v)'

then JJ' is, --i; '*'"

u,v) * l*

B) 2 C) -*\*;=',- D) 1

Arr Arr Arr

,{-' --) q ?*

A) 0 = t'" B) R e) p;l;,u D) 3

-':1!: 'r:::j '*

ii) Any motioa{rfunirf, the curl of the velocity vectoi is zirro, then the vector i is said toDo, ' d\-'4"Do, ' d\A)ffint B) Solenoidal C) Vector

^,' .'* . D) Irrotational

In$ithogonal curvilinear co-ordinates the Jacobian J =P *,- -*#-* , .r. i. . .r * o(x,>tiz')tr?

''.H.?uhogonal

curvilinear co-ordinates the Jacobian J =ffi lr,

^h. Il,. 1 'hrh, 'hrh2hr ' LZ ', ',h,h,

,._ : nr_,;i.

-1': :.,\ A ^-^,t:^-+ ^f +L^ -^^l^* ^^i-+ G,-^+;^- . r7,^ :- 6r,,ai ,'r,,.r'1y# "r.'2.

. ...," "' irr) A gradient of the scalar point function rp , Vg is, .'""*

,,',,,11,.,

ffi A) Scalar function B) Vector function C) q D) zero 't i. ;t"'

&-.:s q! - -) "''.,1-,,o=, F:(axy -zt)i+(a- 2)x2 j+(l-a)xz2k is irrotational and hence frnd a scalar function fli"'l-

d.

suchthat i=Vq./-\)

Prove that curl(curlA; = V[ V.A l- V'A .,\)

Express V'V in orthogonal curvilinear co-ordinates.

2 of4

u'{i a'*\- 10MAT11

PART-B k. / (J',./fr,;{;}\j.$.2-*-**;v:

5 a. Choose the correct answers for the following , '*{ ,,:,".. \* (04 Marks)

,, ,i.{ .a ntD The value of Jcos'1+x)dx is, ,r?rl -%-,

'*#A)x+y+ffi,Q B)x-y-a=0 C)NoAssymptote D)x*!-&=0

(04 Marks)b. Evaluate I tog(I +flllt'cosx'/dx.

o COSX j.JF* ,, e \tu#2a ::' ':"::"': "" w

-?"1-''"'":'::""1c. Evaluate 'i*'Jzu**'a*.

{. ,_.. *u'" (06Marks), *,il"S\ *

d. Find the area of surface of revoluti,.,,,,,- rr-axis of the astroid *% * y% = u% . (06 Marks)

G a. Choose the correct answers ror rt" ;;;;, : (04 Marks)::: '':.,'*

D In the homogeneoqqffifferential equatio#,$= !!.'? the degree of the tunction,dx fr(xy). -.i-,.- ' si;*.af,(xy) and fr_ffi6re, ffi &A) Differer{t-::* B) Relativelyprime C) Same-fu. D) Noneofthese

iD rrre nrt-ibldfng factorofthe differential equation, $Iffi=.or* is,;dx

::.4)i*x rrw B) sinx c) -sinx , .,ffi .o,*

iri) H.r;::,-n"i:,h*)

* 'n.

dirrerentiar equation r(.,;,#l*.0 we get the

,$A\ D^l^-.-^:L^.^-, D\ l.\al^^-^.^^

;.*:1,'. tl i;,,;ilJ#i.'[#.,"" B]3*]i:i[t::?'"?'*:" ' " '=,,*

,,,1', iv) Two families of curves are said to be orthogonal if every member of either family.@s

A) Zero angle B) Right angle q + D) +'6 3

b. Solve 1r + e%)dx * "*(t-;)0, = o (04 Marks)

c. Solve $ + *.i, 2y =x'cos'y. (06 Marks)dx

d. Find the orthogonal trajectories of 12 = a'cos'O . (06 Marks)

&I -'1 ^N rdZ n\Io I Bl o c)EtP D),==pi. ii) If the equation of the curve remains unchange after changing 0 to - 0 the eyrye

j'::"": : r = f(0) is symmetrical about, 'fu'- .r,,,l A) A line perpendicular to initial line through pole ," ,r =',:',:::' ' .{*..a.;

,;;;:|"'-'"" , B) Radially symmetric about the point pole. _ ',-{-, , C) Symmetrydoes not exist *;=,'

D) Initial lineiii) ,-T&e volume of the curve r = a(l+ cos0) about the initial line is, " q*

a'.1 ^1 ^1 3

-' 3- 3 3 iu". 3

iv) The ass ote for the curve x' + y' - 3axy is equa[tp,,. "{*, , ''#

3 of4

10MAT11'7 a. Choose the correct answers for the following : /.Y eJ:.

',.'','\ (04 Marks)tl ,-q

;l tsr i

A) Scalar rnatrix B) Diagonal matrix q rdeffi D) None of these

lt o ol irlf o** -, r'

D o=lo 7 oliscalled, ir?\"1S" r[o o ?) 'Qr!;$l'

* ii) If r : n and x : y: z: 0. The equations have only solution. :::,::

tfu,iil)InGaussJordanmethod,thecoefficientmatrixcanbereducedto..-\Jnrt ,,. A) Echelon form B) Unit matrix C) Triangular form D) Diagonal matrixl'

;=;) The inverse square matrix A is given by,,'lelu

- n3,, lol B) ffi _ c) adjA D)t#.'adjA

. {|l#., I r 2 3 21 ;*.

=',,,, '

b. FindthekArrkofthe*utri*, 12 3 5 ll ": (05Marks)*;*__l '[, 3 4 s.] .

c. Investigate the'-_v!ffis of ), and p such that the syltom of equations, x+y+z=6,x+Zy +32=10, xfufu+ ?uz=V may be i) Uniquqffilution ii) Infinite solution iii) Nosolution. ld}_ "'1"1" (06 Marks)

d. Using Gauss elimination h$.&oa solve, ,)y -x.z+3x, =1, -3x, +4x'7=ra5:, =0, N'r.4.. 2 -6x, =9 (05Marks)onl

^2 t JA3-Lt J^l I

8 a. Choose the correct answers for the.&lh.wifig : (04 Marks)i) A square matrix A of order 3 hss 3 linearly independent eigen vectors then a matrix P

can be found such that P-'4q---------------JEi, .

=

A) Diagonal matrix ,": \;*' " **t B) Unit matrixC) Singular matrix .=g,\* ';";"p) Symmetric matrix

lz Jr1

- *-#*":1 l.l2 z) ll#D 2+ J, q 1-.@-. D) None of these

ions x +2y+32=0, 3x+ 4y+42=G;"7*+10y +l2z=0. x, y and

A) 2r.f,effi

z v 4ttlgD (ll g, "

*MF= y:z:0 B) x:y:z: t C) x+y*ra?*'tr"::

_!)Noneoftheseiv),ffie index and significance of the quadratic form, x'z, +2x)-3xl ,ary respectively

--Sr3 and

-

"'-'' ].....,,,,,,,i *1 A) Index: 1, Signature: 1 B) Index: 1, Signattxe:2 ,

:1, : '_^a :":-'- -' :-o---*- _ _a '--'- -''.. ._r.'1i C) Index:2, Signature: 1 D) None of these.

.",r:1",

,qll ,iILa1-.j,,i I I ir',,,r..,.-'r="- 4=l-O Z -41. (04MafK$..:"lt

12 -4 3l[r r -4 -71

Reducethematrix e=l z -2 -5linoadiagonalmatrix. (06Marks)ttLr0 -4 - 6l

Reduce the quadratic form 3x2 +5y'+ 322 -2yz+Zzx-2xy to the canonical form.

r * {< {< r (06 Marks)

4of4

USN L0PIJYt2l22

ry 2014First/Second Semester B.E. Degree Exam

Engineering Phys

Time: 3 hrs. yJryz Max. Marks: loo, "'+n,if

iffi"t l. An;swer any FIVE fult questions, choosing at least two from each part _,,=

'5 -

* " ,'1=d 2. Answer all objective gtpe questions only in OMR sheet page 5 of the answeq'$imklet.

oj *j."'],.Answer to objective fitpe questions on sheets other than OMR will not be"valuid.

€ iillj.:iiyrrcol constants : Velocity of light, c:3 x tTs m/s fd*i='e-s .,.,:i';:r'... Planck's constant, h:6.625x 1tr34J.5- ,"''-,'- ,;=cSE '".'':i,* Charge on electrofl, € : 1.602 x 7trIsc ".

'=l *

€ " Mass of electron, m:9.1 x lT3tkg-- r,,:'

r"e

g /,,^--,r-^-,,*hnr N.:Ao)vltlzo/ts i,,..,,- Avagadro number, Ne:6.02 x trt6* W[e" g peimittivtty of vacuum, €0:8.85 x ti'2F/*EPS= Boltunann constant, k: 1.i8 x lT23ilk-

Q:=

':lzr#-E e '-'l PART - A*B:: I a. Choose the correct anfus for the following : \r"r, (04 Marks)H + I a. Uhoose the correct ans\I$,rs ror tne ro[owmg :

.E $ D If an electron, protdffiqeutron and cr -

-"%ge

EE A)-!- ny4;.. cy h p)=2h6 E ffioe ' nk-e 2moe 3moeE f :::\ 'r.L^ -L^+^^r^^+;^ ^sc^^A;- Ati-^*.,^,{ ^-l*,:i{+L^,,,^.,olonnrh ^f li-hf ic

gr + I a. \-iluoss rrrs uu[rsu[ auslxFl.ii _rur rrs rurruwrlrB . 't1# _(ur

lYrarnv

= $ D If an electron, protdffiqeutron and o - partiCfe have the same velocity, the particle

cg \r

E g. which has the largest wavplcngth is ' *r

S E A) electron n) figtou_ :,,'";.= C) neutron D) oc - particle

I E ii) The Compton shift for the

i I iir) The photoelectric effec6{s ffi'served on@*!f$re wavelength of light isg e A) utor. threshold wgelength - B) below threshold wavelengtho'oo0 tr A) above thresh<

T E C) zero ,..n:.=.j . 'D)

$ewl to threshold wavelengthE E iv) The law whic iled to account for longeffiavelength of blackbody radiation!!P

;E '.p":Jl-.',1 .!*-E ; A) Wein p,p B) RaYftfgh-Jean's law

f f C) Plank's law D) Maxwell's law

!" S b. Describe-pdb.helectric effect along with Einstein's explanation. (06 Marks)

; g c. Describp; visson and Germer experiment for confirmation of de-Br.o,glle hypothesis.E 'E + " (07 Marks)3 cJ

enerqv of an electron of wavelength 3 x l0-3a,F E d. CalpFlate the kinetic energy of an electron of wavelength 18 nm f"h.-46.6,

EE *ril.:9.11x10r'kg1. '*(o3Marks)-ts {'-",

;hoo "''E g 2 a.' Choose the correct answers for the following :

g [ '

i) From the Heisenberg's uncertainty relation, AL.AO ,-fi,L refers to

ot A) length B) linear displacement-i i\i- C) angular displacement D) angular momentum

! ii) The first excited state energy of a particle of mass m in a box of width 'a' is given by2

E A \ -^-^ h2 ^, 2h' h\ h'E A) zero B) ^ , C) "._r

D) "*^,

s iii) Wave function associated with a material particle isA) single valued B) finite C) continuous D) all oftheseIf the uncertainty in momentum is large, the uncertainty in energy is

C) zero1 of4

iv)

tco/.s

A) small B) large D) independent

What is Heisenberg's uncertainty principle? Discuss its significance. (03 Marks)

An excited atom has an average life time of 10-8 seconds. During this period, it emits aphoton and returns to the ground state. What is the minimum uncertainty in the frequency6f,this photon? (04 MCrks)

1OPHY12t22

Obtain the time independent Schrodinger wave equation for a particle in one-dimensionalpotential well of inf,rnite height and discuss the eigen values. (09 Marks)

Choose the correct answers for the following :

D) none of theseis proportional to

D) n'The electron ies in classical free electron thmry followiv)

b. Explain the failures of classfuEl*{ree electron ffig3y (06 Marks)

c. Explain Fermi-energy and Fefffaetor. $d. Calculate the mobility and relaxati of electron in copper assuming that each atom

contributes one free electron for gffieflfuri. Given resistivity of copper : 1.73x 10-8 ohm-m.At. weight : 63.5, density: 8.dl '0' td#,d$o : 6.02 x l026kgmole. (04 Marks)

*'n* o,/ ^

4 a. Choose the correct answers,Tei the following : *l* ,,,''

-. '::l' j:li 3, ',,,-' (04 Marks)

D Copper is "'... "' ,,, ,

A) IVlaxw_ell-Boltzmapn statistics B) Fermi-Dirac statisticsC) Bose-Einstein stml$$[cs _ D]hone of these

Explainthe failures of chsJ@e-e electron qt"gey, (06 Marks)

Explain Fermi-energy and Fe#frcLor. D\hffiss the probability of occupation of variousenergy states by electron at T:0oKdtrF{ i OdK on the basis of Fermi factor. (06 Marks)

--rr-- -- \ "A) diamagne$cffierial B) irAi6rygnetic materialC) ferronpg1@.ia material D) antiffimagnetic material

C)1i@foendent oftemperature D) none oftheffi-{-rn

d :ffi;#ifi:Jii B]::lflilymetre2 '

='=*H _-I{O The electric susceptibility 1: ""

,,,,1' ..,P F tr c.P

,Jry", A) e'EP u) ., , q i= D) H /_{*: b. Describe the different polarization mechanism. (0s M4r) "

**.ffi * c. Explain hysteresis of ferroelectrics. (05 Mari[$.16:::i d. If a NaCl crystal is subjected to an electric field of 1 KV/m and the resulting polarization is d

4.3 x 10-8 clri. Calcrrlate the dielectric constant of NaC.[.. Ieo : 8.85 x 10-r2 Fm-l1.(03 Marks)

ii) Electroniq polarization oi''

PART _ B5 a. Choose the correct answers for the following :

i) The life time of an atom on a metastable state is of the order

y",*..*".",.d..d.1A) inffis6s with temperature B) decreasedffih4emperatureC)tiidbpendent of temperature D) none of thesd*;'*

(04 Marks)

D) few millisecond

,,,,,,..,,i) The Fermi temperafure is given by

A)?8, B)1& c)-E..,3K .2 K K.a:" ;/

ii) ='{.-}q(he mobility of an electron in a metal increases, the resistivit

A) a few seconds B) unlimited

2 of4

C) a nano second

--/,,,i1,,o,,,,, A) only amplitude B) only phase."''.,,'.'....... C) both amplitude and phase D) neither amplitude nor phase rl

,' i i : Iiw\ Pumping process in a diode laser is byuf ,

'#,, A) optical pumping B) forward bias C) electric discharge D) n 8{these- ,},

\__ *&.b. -{l@plain the construction and working of a He-Ne laser.

^** = t,* (07 Marks)

c. Exf.Ifin the principle of holography and mention its applications. . lU (0s Marks)

d. Find'W::io of populations of two en:rgy levels in a laser if the g@ion between them

producei'.light of wavelength 64934, assuming the ambiqhi'temperature as 27"C.

[K:1.38 iffiiK1. ,*(i;"',, (04Marks)1

" 1{ ^ 1r,- r-rr- :--- - \6 a. Choose the correctriapswers for the following : -

'

8nhr3 B) 8nh;I'

C)o)"''c'iii) Holographyrecords

Choose the correffi$swers for the tbllowing : a*=\ (04 Marks)

D If the angle of ihddence of a ray is equal to the=critidal angle at the interface of core an

cladding, then th6.@;travels \n#A) in the cladding

ii) The ratio of Einstein's coefficients A and B is

A) 0.0769 B) 0.0J_.1.4-."" C) r.0769 D) 0.9286A type II superconductor in dre vorte4state showA) complete Meissner p.ife4t'ind zeroB) incomplete Mei andzero elffir.iC) complete Meiss

effect and non-zero eD) incomplete

PIJY12l22

is increased, the

(07 Marks)

ir)

A) in the cladding '..{= . *'ru F) in the core

C) along the interface r. * "' D) in the buflC) along the interface r. * ".'' D) in the bufferFractional index change Srffi_optiQ# fibre of refractive index of core and cladding1.68 and 1.56 isA) 0.0769 B) 0.0J-.1:,4-."" C) r.0769 D) 0.9286B) 0.0J-.1=4-."'' C) 1.0769

ior ia'llqWonb4 state show' plfegt'and zero dU&trical resistivity

iir)

iv) Below the cr!

B) decreases

b. What is attff,gliation? Explain the various mechanisms through

Expl I and type-Il superconductors.

Choose the correct answers for the following :

i) A crystal of hexagonal lattice has unit cell with sides

md type-Il superconductors. (05 Marks)

aperture of an optical fibre is 0.2 when surrounded by tii=lbdermine the RIcore, given the RI of the cladding is 1.59. Also find the acceptance angle when the

is in water of RI 1.33. {#o Marks)

' 'a:

(0a3[prks)

[,a.

\+rL \,t

w'\:" i.&Jt"'

hili:"'h

L,

4t)a*b*c,cr+p+y+90oC) a* b: c, fl: B

:120", y:90o

ir) A plane intercepts at a, ),2c in a,2,

B) a: b: c, ct

D)a:b*c, u

simple cubic unit cell.

120" r'nri

:F:y:90": F:90", T:

plane are

A)(2r4) B)(24t) c) (42ii, The coordination number in face centered cubic cell

1)

is

The miller indices of the

D)(t24)

D) 12A)2 B)6

3 of4

c)8

10PHY 12t22

iv) In the Bragg's equation, 2d sin 0 = nl. , the angle 0 isA) the angle between the incident beam and the diffracted X-raybeam.B) fhe angle between the incident beam and the normal to the diffraction planes

, C) the angle between the incident beam and the diffraction planes

*fl . D) none of these. q,,"*m b. Define packing factor. Calculate the packing factor for sc, bcc and fcc structures. (07 Mankg

*;= :. Describe the construction and working of a Bragg's X-ray spectrometer. tOr ntnikO" $ffi Draw the following planes in a cubic unit cell:

..,"---"

#g}:2 0 0) i, (, 1 0) iii) (1 3 2) 60s tr{arks)ij..:11 :l -:;j,

...;: ....4-

8 a. Cffi the correct answers for the following :

:\ s'#t$-l- -L-1^^- l^ -,-^ ^frrrect answers for the following : +1.= "** (04 Marks)nanofubes are made up of &., -'"

- e :*'"' ""s,d:9'-\ ^ a :ji E,ffiphene B) mica sheet lffi"C) ifficomb D) plastic ..*Y .,-*1lri-bfuii) The stWqf matter around the nano-size is known as .IT...., * ,.$)n$)A) solid itate,"" B) liqu{dqtate l,:{ ^_ Y-+,cjplasma *dr-. Pinmsqscopic state i.:f LH1Y. ii

., -.-,*1* lill *u," iJj/ cszurnA. \!,riii) ;li:1.ufltff{,,"* ora riquid is character;LffiJoprc

state !{ *ilt#r}t,

A) Young's moduldpfu B).Kigidity modulus '\|"\*,_/*),,C) Bulk modulus **#*.

Ultrasonic waves are piLdr$e$ I

A) electromagnetic inductiog"q "

v[l4rvlllv vY4vvD srv rrwvvg uJ " \&ge

A) electromagnetic inductioffi", _ ".-,$ B) electric tuning fork

{fuD) Poisson's ratioiv) liltrasonic waves are piLdse$ by .. -M

C) piezo electric effect "*J;[ D) inverse piezo electric effectb. Write a note on fullerence. What lications of fullerences. (08 Marks)c. Explain with principle, how the

using ultrasonics. =3..

tn a s$qcan be detected by non-destructive method

.',. ,.= og Marks)

d< tF ,f tF * u**'""1

': ,+':,.== '.*aJ

f ddd{Bf

wl

ldd

'11"""""""t'

r-.Yf,t

Sann -t"9,,.$l

\ ,/J

- 'r,*t

"e{l

_-s3

,#--#h-e*r*

".1, a,

tsd,{

" *. 1

-*ffi

4 of4

,-j

USN 10crv13/23

First/Second Semester B.E. Degree Exa July 2014

Elements of Glvil Engineering and Ei n$ Mechanics

,r{,*Time: 3 hrs. Max. Marks:lQ.@1,:'',,:''lt.l^r^- a /----,---- ----- Dtf lD r--1, ---^^2:^-^- ^l-^^^2-^- -t,^-^t L^.^ l'--^--- ^-^r- ---a

: ..

, , lllote: l. Answer any FIVE full questions, choosing at least two from each part.:*-.^.-.."J."...------r.---.-',,.!,x'',,' 2. Answer all objective type questions only in OMR sheet page 5 of the answer-b.fuklet.. :::,, ' 3. Answer to objective type questions on sheets other than OMR will not be ,ydlaed.

6E '*tl,l":, PART - Aq "' **';:- -. :i :;.,... ,,

E I a. Clidp"pe*the correct answers for the following I *_ H, (04 Marks)

t;g

E^vrrv,9,}*Yj'^rYs&I i; @technical engineering involves the study of .*.= hiH

d .\."n-.:!. "*** 1E A) *ptrr B) soil C) oil D) all of these6'g ii) A ba@le b:idge is a f u_. 'r,.. 1 .

$i 1; -cfr'k$_* B) floating bridge C) movabtp$iidge D) none of these

3E iii) Kerbs are ttro ogmponents ofj > -r-------- --E = A) dam B) bridges C) roadi D) buildings

= v) / ...t. ,t 4...-.

g. * iv) Inspection gallery is a part of:E & A) bridge B) dam C) harbour D) airport6V

E g. b. Briefly explain the scope of adyT$ree fields ofiliSil engineering. (09 Marks)

i-ds"

A Z 2 a. Choose the correct answers for the @u!ag : (04 Marks)g .E i) When tryrng to turn a key ingv'=IbeLfollowing is applied.A 8 A) coplanar forces n) $.0$nt a ,*\ C) lever D) couple5 f ::\ Tr ,t t , .- t : r 1.. - 1; ; ii) The vertical componentff a:horizontal fufcc isE< a\F,: A) zero .ts*}bne "'. C) both A and B D) two

€ S iiD Two equal and op.posife forces separated by a distance will produce.

= E A) translation B) rotationgf ij;;,h ,:'pptu", and rotation ;i ,oit "i.,r,"'"

E e iv) The resultdd of two concurrent forces becomes mEfiffFm and minimum, if angle

e-E between.them is " " "*"

E q A)pd*and 180' B) 0" and 90o C) 90" otrd 0o'*,.--, ]= D) 0o and 0o

; ii b. Define fuce and state its characteristics. (06 Marks)g E c. Forces acting on the gusset plate of a joint in a bridge truss *. @n in Fig.Q2(c).

+ijts>"il4

() l { q4"

- *h'*.H6

; a u. .t_rgltnc l,orcc anu statc tts u[arautgrrsuus. (uo rYrarKs,

B E c. porces' acting on the gusset plate of a joint in a bridge truss *. itryr*n in Fig.Q2(c).

F E D4termine the values of 'P' and '0' to maintain the equilibrium of the joint.,,*A;

E€ s*Jr , lPurv \ | /

;.-1t..

,dqi f

E G'>cN

6 Fig.Q2(c) (10 Marks)z

E 3 a. Choose the correct answers for the following : (04 Marks)og i) The process of finding the resultant of a system of forces is called

A) resultant B) composition C) resolution D) none of these

i, If two concurrent forces each of 'P' act at right angles to each other, their resultant is

A) 2P B)PI of4

Q JiP D) 2\F

,i:f *_""^* ^ " \',rltlii) Conditions of equilibrium for a coplanar concurrent force system is

{,d.[ ::"::::Y lt] i A) one B) two c) three D) fourr\ d\ LILlFtutur

,l; iv) If two forces are parallel, then they cannot be

\t"}.- .-,',,':. A) coplanar B) concurrent C) non coplanar ; D) non concurrentdo\ --,"t'J. A) copEnar t', congurTenl \-,, Iruu uuPraran lrl Iruu uu

\@lif Two foices Fr and Fz actupon a body. If the magnitude of their resuldant is equal to that of

,,_,,-..*- Fr and direction perpendicular to Fr, then find the magnitude and direction of force $pTake Fr :20 N. (06 Yrrks)

* .. State Varignon's theorem of the moments. 9*ffi0''*'dJ*d. Determine the forces P. F and T required to keep the frame in equilibrium. ;11= "..ffi Determine the forces P, F and T required to keep the fuame in equilibrium.

,/" s-t "f,-At o-rt

'- s-,4 -

--z' ll\,2'\4

t-#,- lr:onr si'nt

'Jr .d{u - Fig.Q3(d) o*u'iu.,"1t'" (07 Marks).+@\.p r-rB.\{J\u,, d\",w", *E ki

4 a. Choose the correctbd-'.\W

for the following : (04 Marks)

i) Centroid of a rec$agg.{g ofbase width 'b' and depth 'd' is

"-;;,_ , rl"-r Jlal-)S_ _- 3MI4FV

iii) Centroid conveys some cffiq!6ut* q

A) the orientation of a qurffi #? *"Sl center of a bodyC) shape and dispositdl" ;.p) ut.u of cross section

iv) The centroid of a ffifucle of radius 'r' wiMrespect to its base is

A)q .' r)1 qg D)g'4n 8n 3n Tc

b. Determine the qp d of a right angle triangle form first ptfndiples. (06 Marks)

c. Find the centlold;bf the shaded area shown in Fig.Q4(c), obtbtrw.S by cutting a semicircle o1

A)quna9 g)!*d9 ,.c)9*a9 D)allofthese--' 3-^--3 -"2- 2 *F 4 4

ii) An axis over which or. tdiq$nfane figure is just a mirror of the other half axis is

A) bottom most axis 44,:.i.'' B) axis of symmetryC) unsymmetrical axis ,*;ffi- 1 D) top most axis

iii) Centroid conveys some cffiq!6ui* .

Find the centloldtf the shaded area shown in Fig.Q4(c), obth'fuEqby cutting a semicircle ofo,r*",,ffiry fromthe quadrant "tr.Kf radius ,oo -*

, "_,dh Y//t\ r'---

" t'./././^ u.J'l/Z n-,'$!. 1,,-' Y- \ ri.**'::,':: |., \

:'::'= !I/\r ' ol = ,d**1..._. -l "**(#s*;...=. 1 "" E*fl_

, , r, *".'"= Fig.Qa(c) aiCIStartrs)

. r,,,i)," ' PART - B '"""'

,,,.,,r*io,i hr; .,,,

.., *. ,re 5 a. Choose the correct answers for the following : (04 Marl&)1"\ i) The force equal and opposite to resultant is called as

A) resultant B) equilibriant C) similar force D) all of these

il) Lami's equation can be applied when number of unkown forces are

A) five B) two C) three D) fouriil) In a non concurrent force system, if IH: 0, ,V:0 then the resultant is

A) zero B) horizontal C) vertical D) moment

iv) A particle acted upon by two forces of equal magnitude is in equilibrium. The angle

between the forces is

A) 0' B) 90'2 of4

c) 180' D) 45'

_\v

10crv13/23

b. State and prove Lami's theorem. (06 Marks)c. A 100 N sphere is resting in a trough as shown in Fig.Q5(c). Find the reactions at the contact

points. Assume all contact surfaces are smooth.

.f

'fu,,,o,i;,x

.,.d.

,::, :::::,, ,

* ,if'

ff:d*ddi.**dr'-d

tr'%F -a\d"lt

,x.

1"!1il' ';-j

{1tS r "'-'

.\sf.-.:,,,,--,1 *.

t4, 'i '-

.'- \ k-4.i 1*

C) conditions of static equiliil) When loads acts constant

f"ttlFig.Qs(d)

D) none of theseiven length ofbeam, it is called as

6a.

D) none of theseii| A fixed support can hanh", reactions.

_A)r B)2 e)3 D)4iv) The number of reactions components at a hingedemd of a beam is

A) 0 ,,..'.,,,;r""' B)2 C) l; D) INi .illrrr' -'' - -'l -

b. Find the reactiopq"s,ra cantilever beam shown in Fig.Q6(bI-. ,- -p_ \-\ryf/ @u

lo lc+t]rv1 , 16 1457 " {

- .ir..,.r,

reactiffiaw,,,,.;f tt.

.1, /l\

. .'"='L#r*r^, I'"-'-'*'-.,/r'4-2q *-*- 2ar ---{r, "*

c. &lmine the forces in all the members by the method ofjoints. L" _,A.Lut

Ftg.Q6(c) (10 Marks)

7 a. Choose the correct answers for the following : (04 Marks)

D A friction force always acts to the contact surface.

C) at 45"A) normal B) parallel D) both A and C

D) kineticir) friction is observed in the flow of liquids and gases.

C) sliding

3 of 4

.\^ (,r,6HFig'Qs(c) S\J"'-ryt' (o6Marks)

An electric lamp fixture weighing 10 N hangs. From a point 'N&qddECAC at.iangle 60o{"..r,_

.....i:i:---:---._

il.. :.l BC at angle 45o as shown in Fig.Qs(d). Determine the forces in strings..r (04 Marks)

Fig.Q6(b)

Fig.Q6(c)

A) fluid B) static

71tl

.\,,:.... ,/

0ctYt3t23

iil) Compared to static friction, kinetic friction is

A) greater B) smaller C)iv) Angle of friction is

-

angle of repose.hAandB

b. n uro#*.iehing 800 N ,.rI'oriun inclined ptur.X tz" to ,h.Hffiilf the coefficientA):

of friction is O.+, nna the force required to pull the body up the plane, when the line of tire(r0lW,pr.Ito

._. I{{l&Mhrks).,,,:,,.,.€ Define: i) angle of friction, ii) coefficient of friction, iii) cone of friction.

si

force is (i) parallel to the plane and (ii) horizontal.

B)g

l€sqF+s-tu *),{q

:!

. . (10 Marks)YU:

tl''

1l* -(04 Marks)

' D) bh''12

I axis is

b.c.

,,,,,.

A){ *""",i*

B){ .1S;' D){"'lz 'u, 8 -,'J36 '12iv) The polar moment'ffinertia of a circular arean$f diameter 'd' is given by

A)+ *; ,,.$,ryb'* D)*

4 of4

USN

, :. ,i,

B) T@,oonvert wet steam into dry steam

fiEM.m4l24

ne / July 2014rrng

Max. Marks:100

(10 Marks)(06 Marks)

(04 Marks)

iiD Super heatqi,iS used,A) Inside the boiler drum

OS,

A) Open cycle gas turbineC) Mixed flow gas turbine

First/Second Semester B.E. DegreeElements of Mechan

Time: 3 hrs.

ivt

ooocd

-E0!c)

d)L

EgooP

g^-d9

=r)!ttoo"qoo.= 6r(!+

ETori-coHLoBfrs6=

5U

OEooH

:b?dg-

5'()6EE*o. 6.5(ooj

o=g()iz tE

ti 0)

>\ +roovtrb06J=*o

=6)o-

Lr<*N

6)

zd

op.

Note: l. Answer any FIVE full qaestions, choosing at least two from each purt.2. Answer all objective Qtpe questions only on OMR sheetpage 5 of the answer bookliii

: .: ... 3. Answer to objective type questions on sheets other thun OMR will not be valuad.'';4. Use of steam tables is not permitted. .

, :..,.

.;

,: PART - AI a. ' Choose the correct answers for the following : "" (04 Marks)

i) , .,The centrifugal forces generated by the earth rotation on the far sidd'rcsults in another

lge rise on this side of the earth. l

A)rLunar tides B) Earth quakes C) Volcanoes - '"'D) None of these

ir) The condition of steam in the boiler is always, :.'.:

A) Dry ,., B) Wet C) Saturated' ' D) Superheated

C) In the path of,,[he gases to increase volums of steamD) To inciease tempeiature of steam above satrhration temperature.

iv) Babcock and Wilcox b.oiler is "', . ' boiler.

A) Fire tube B) Water tube C) Air tube D) Fioxi tube

b. With the help of a temperature - ehtha,lpy diagraitr, explain the mechanism of its formation

2 a. Choose the correct answers fq th€ followingri,1^.,,,i) In reaction turbine, the prdssure drops, '

,,

A) In nozzles .,,:;C) In fixed blades

ii) Kaplan turbine is,A) A highhead mixed flow turbineC) A reaCtion turbine, outward flow

iii) Deta$alturbine is a _,A)"{mpulse turbine,,e) Velocity compounded turbine D) Pressure compounded turbine.In a gas turbine, if the working substance is continously recirculated, tha$ it is called

"",B) Closed cycle gas turbine ., ,

D) None of these

b. Differentiate between open cycle and closed cycle gas turbine with neat sketches.

c. Sketch and explain the working of a Kaplan turbine.

3 a. Choose the correct answers for the following :

i) In a 4 stroke CI engine during suction stroke,

ofsteam. .: ,, ,,,

c. Name any five boiler mounting aqd ae ries and state their functions.

,, ,)

B) In moving bladesD) Im:b,oth fixed and moving blades.

:: rr

B) An iifipulse turbine, outward flowD) Low head axial flow.

'!

B) Reaction turbine

(08&[arks)(08 Marko),.

, .iii,, l

(04 Marks)

A) Only air is suckedC) Both air and diesel are sucked

ir) The inner diameter of engine cylinder is called as,

B) Only diesel is suckedD) Either air or diesel is sucked

A) Stroke B) Clearance

I of3

C) Bore D) Pitch

NO. 3 (a) contd...In a diesel engine the fuel is ignited by,A) SparkB) IgnitorC) Heat resulting from compressing air that is supplied for combustionD) Combustion

iv) Piston speed is equal to,

,\IOE]I/IEL4l24

(stroke*rpm)

-

:. 2

(10 Marks)

(04 Marks)

BQring

None.of these

Knurling

MS(06 Marks)(04 Marks)(06 Marks)

i' ...,. A) Stroke * rpm

b. With'the neat sketch, explain thec. The fri-Ilowing observations were

Cylinder',tliameter : 25 cm;Crank shaft $peed:250 rpm;Brake drum diameter :2 m;

B) 2*stroke*rpm C) 48 stroke*rpm D)

working of 4 stroke diesel engine. (08 Marks)obtained during a trial on a four stlokp diesel engine:

Stroke of the piston:40 clilBrake load: 70kg ,,,, i1"'..,,,,,.

Mean effective presa:l.re::* 6 barDiesel oil consu4tion:0.1 m3lmin; CV:43900 kJ/kg .

Specific gravity of diesel: 0.78Find: (r) BP i'...'

^(ii) IP (iii) FP.,,.. (iv) r]mech (08Marks)

a. Choose the correct unr*.r, db, the following : (04 Marks)

i) The boiling point of ammd'mta is, ... ,',,," ''''

,'

A) 100.c B) 13.3.3'C C) 33.3'C D) 0'C 1:'

ii) Most commonly used refrige@in our absorption refrigeration system is,

A) Freon B) CO2.'i+, i' I C) SO2 D) NH3iii) Throttle value is used in refrigerator to,

A) Compress refrigerarqt ,,..1,-.r,B) Expand the refrigerantC) Absorb the heat t@'the refrigerant ''1 P) Condense the refrigerant

iv) An idealrefrigerant slmuld have,A) Low viscosity B) Esw freezing pointC) Low boiliqg'point D) Atl of,$re above

b. What are the desirable properties of refrigerant? '' r "'';,, (06 Marks).:c. With a neat qket€h, explain the construction and working of vapour absorption refrigerationsystem.

.,.,,,,., PART - Ba. ChMSe the correct answers for the following i

,

,iry:' The process of enlarging an already drilled hole is:;l :'

"' ii)A) Spot facing B) Reaming C) Tapping D)

is the process of generating internal threadsA) Tapping B) Turning C) Knurling D)

iir) The slowest speed in Lathe is adopted for the following operation :

A) Turning B) Thread cutting C) Tapper turningiv) Twist drills are usually made of

A) HSS B) Diamond C) CarbidesList the four elements which speciff the size of the Lathe.Explain the difference between facing and turning operations.Draw the neat sketch of radial drilling machine and label all its parts.

D)

D)b.c.

d.

2 of3

6 a. Choose the correct answers for the following :

i) The cutting tool in a milling machine is mounA) Tool holder B) Arbor

il) _ is the one of the abrasive material usedA) Aluminum chlorideC) Silcon carbide

, iv)

7a.

A) Solder '1 ,''",,,,,,,8) Flux

iir) The thickness of chip is maximum at the beginning of the cut and

of the cut, cut in each case ofA) Up milling B) Down milling C) Straddle milling D) Noneof these

One of the milling operation used to produce dovetail groove is $, ',,,

. A) Slot milling,Cl End milling

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

(04 Marks)

Electrode

Hook

Differentiaie between Up milling and Down milling.With a neat diagram, explain the working of a vertical milling mqehlne.

With suitable-"oketches, explain the operation of centreless grinding machine.

Choose the correct'iaswers for the following : .'

B) Calcium chlorideD) Tungsten carbide

e)' Spelter D)

O Axle D)

t0ENIEl4l24

(04 Marks)

D) Table

D) No Zoneand fill the Joint is

(06 Marks)gas welding and specify

(04 Marks)(06 Marks)

::.

minimum at.the'B'nd

B) Straddle milling i.;' ,

D) Angular milling i"'b.

c.

d.

ir) Support provided for rotating shaft isA) Bearing B)'.,Lubricant

iil) Carburizing flame has :: ,,.,,,".,

:

A) One Zone B) Turo.,Zone

called as

A) Consumable electrode :,,

C) Both (a) and (b)b. Sketch and explain electric arc welding process.

c. With a neat sketch, eSplain the different typestheir application.

d. Explain with a neat,sketch, the method of splash

iv) In arc welding the electrode which idtelt along with the work piecesC) Three Zone

Non consumable electrodeNone ofthese

B),,,,,'D)

of flarnes used in

.:

lubricationi

8 a. Choose the eor,rect answers for the following : . (04 Marks)

i) For converting rotary motion into rectilinear motion t1,pe of gear used is

A) Spur gear B) Rack and pinion C) Spiral gear 'D) Bevel gear

ii) ,, 'The ratio of diameter of driver and driven pulley is called

b.

c.d.

iil) The gear used to connect perpendicular axle shaft isA) Helical gear B) Spur gear C) Bevel gear D)

iv) The ratio of pitch circle diameter to number of teeth isA) Pitch B) Circular pitch C) Module D)

List five advantages of gear drives over belt drives.Define slip and creep with respect to belt drives.Write the different types of gear trains with their applications.

,<*x{<*

A) moduleC) Ratio of tension

B) Pitch circle diameter:*D) Velocity ratio.

worm sdr ,

Addendum .,",,

(05 Marks)(05 Marks)(06 Marks)

3 of 3

USN 10ELE15/25

First/Second Semester B.E. Degree Exam f fluly 2014Basic Electrical Eng

rime:3 hrs. tQuC#''' Max. Marks:loo

tr*"",

2 a. Choose the correcp$nswers for the following i : (04 Marks)

/ *\-i) An alterna'ffig current is given by i = 14.14sinl rot+l f ;nas an rms value of

, .:"':,..'.-:"' \ 6i"1

amperes.

,. $),,',10 A B) 14.14 C) 20 A ' ,o,#) 0.707

ii). ,'r",!iian a.c circuit, the ratio of kWKVA represents . ,,,,,,: e

,".'.,',' A) Power factor B) Load factor C) Form factor D)=Peak factor' iii) A current drawnby a capacitor of 20 pF is 1.382 A from a220 V A.* ryply. Thesupply frequency is _, ' .= ,...:

iv) The unit of apparent power is_, ,.,:,,i:

A) kW B) KVAR C) KVA D) Joules ;:::.,::,:n,,, \ vv urt A Y ru\ v/ r\ v 11 v) Jvslo .:i ' ,.:,,,,:

b. Define: (i) Instantaneous value (ii) Amplitude (iii) Cycle (iv) Period with''respect to sinusoidally varying quantities. (04 Marks)

c. Two impedances (150 - jl57) f) and (100 + j 1 10) f) are connected in parallel across 200 V,50 Hz supply. Find branch currents, total current and total power consumed in the circuit.Draw the phasor diagram. (06 Marks)

d. Show that the power consumed in an R-C series circuit is VIcosS. Draw the waveform forvoltage, current and power. (06 Marks)

G)oo!gad

ad

C)

6)!

Bcoo#!-

iaF6U=r)!

oo lltroo.= a.l(€+hbots0)o-ltr-c c)

o>8*6::

bu(doOE$q

cdH!(€

-bB'8e

dxtrEore()j

o=goatE6Ek 0ll

5:e>'hcb06)=*O

=il)5:o{* a.l

6)

Z ,..

d'L

r Note: l. Answer any FIVE fult questions, choosing at least two from each part. _""

"., - 2. Answer all objective type quesfions only on OMR sheet page 5 of the anstver boatlp.

',,,r,',, ,,,,

r. Answer to obiective lype questions on sheets other than OMR will not be valuedlt

,,!,f'',PART - A .;....i.:.:::

I a. fihoose the correct answers for the following (04 Marks)

i),,'"),The resistance of a conductor is directly proportional to its :1i:.i ;"" and inversly

Ptoportional to its- *,,,,. "'"Ailqgttr & Area B) Area & regger; '

C) Le & Current D) Length &*}fu age

il) When @reonductor.moves perpendicular to the lines offlr*N, the emf induced is_A) Minimum B) Maximum C) Zep. "

" D) None of these

iii) The mutual inducfance between two coils of self in"ductance 0.8 H and 0.2 H, have a

co-efficient of Couplirrg 0.9 is_,A) 0.36 H ' jB) 0.4 H " C) 0.16 H D) 0.144 H

iv) An electric heater is i&to 2 kW, 200 v. The resistance of the heater coil is

-,A) 10 O B)''Od,O. i\,-y C) 20 O D) 200 f,

b. Show that the equivalent resistance. 'flwo riibistors connected in parallel in the ratio of the

product of these two resistances diVi{f.ilfu the sum of those two resistance values.

. .qr I t:: ,, (04 Marks)c. Derive an expression for dynamiQg'lHintldced emf. (06 Marks)d. Two coils having 1000 turns pffi f600 turns res@ctively are placed close to each other such

that 60%;o of the flux produdd'by one coil. If a cuqent of l0 A, flowing in the first coil,produces a flux of 0.5 m " Find the inductance of;the second coil. (06 Marks)

I of3

3a. Choose the correct answers for the following :

i) The phase sequence of a three phase

sequence ls _,A) YRB B) BRYWhen the two wattmeters used tothen the p.f of the circuit is given by

system is RYB. The

C) RBYmeasure three phase power

10ELE15/25(04 Marks)

other possible phase

D) None ofthesegives equal readings,

4 a. Choose *. .".*.-r*nswers for the following : .., .'"''\ u'

(04 Marks)

i) The totating'dl&-of the energy meter is made of___rr_.A) Copper *ffi1,

. B) Silver C$*luminum D) Platinumii) One unit of electri@nergy is equivalentlo

A) 3.6 kWs 'S)",3600 W.S ..: "q 1 kWH D) 10 WHiil) An intermediate switchts-Wen i, {:,,,;f of lamps.

A) Three way control 'fl .="',,,,,,,, ,,,, '*'''" B) Two way control

C) One way control %,,} 1 D) Four way controliv) The value of "Fusing Factor'ffiffi$S.ys _,

A) Less than 1 B) Eryal to I C) Zero D) More than 1.

b. With the help of neat diagrap, Biplain the pO.pstruction and principle of operation of a

single phase induction typ1ffitgy meter. ' *!.....,,,, (08 Marks)

c. Write the circuit diagrapffi switching table fiif-.two-way and three-way control of lamp.

A) 0 B) 0.s c) 1 D) 0.866 1,..

The power consumed by a 3-{ load is given by the expression , ,,r;.-,,'-"r,

A) 3Vplrcos$ B) Vpllcos$ I .6Vrf1cos$ D) r6vrcos4

'4 iv) A 3-O apparatus is

-

efficient than a 1 - $ apparatus,; rv) A 3-0 apparatus ls errlclent tnan a I - q apparams,' .,...,.. A) More B) Less C) Both (A) & (B) D) Npneofthese6. i.;fflrat are the advantages of 3-$.systems over a single phase system? :: (06 Marks)

c. ;dq$-dQ, 400 V, motor takes an input of 40 kW at 0.45 p.f. lag. Find t@,,r,",e,$ing of each ofthe tftfusingle phase wattmeters connected to measure the input. ,..,,,,,,,..

",, "1" (05 Marks)

d. ObtaiMffi.relationship between line current and phase current.in a balanced 3-$ deltaconnected system. (05 Marks)

{

... '::,, ,:

F.-PART _ B

5 a. Choose the c-&rrdUt answers for the following : (04 Marks)i) rhei of commutator in a d.c. generator is to

output voltage B) Convert AC to DCReduce sparking at brushes D) Increase the

-+ {rih,\ a lap winding, the number of parallel paths is equal to

h. ..i B) 2P2

C)P

iil) The speed of a d.c motor is almost constant.A) Shunt B) Series C) Compound

iv) The torque produced by DC motor is directly proportional to _.

D) @''' .=-

D) None ofthese=::':"' :'*x -.+

, lii'\]'".*.

b.L.

d.

A) VIa B) I"R" C) OIu D) E6In ',,

Derive the expression for the e.m.f of a DC generator. (04 Marks)Sketch the various characteristics of DC shunt motor and mention its applications.

(06 Marks)A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is

0.2 A. The machine has 6 poles and armature is lap connected with 864 conductors. Theflux per pole is 0.05 Wb. Calculate i) speed ii) the torque developed by the armature.

(06 Marks)

2 of3

6 a. Choose the correct answers for the following :

i) The transformation ratio in a transformer is equal to ,&m*)i)(04Marks)A) rr.E2

A) Ns=#

C)U'Nl

c) T=N,

B)\N2

ir) The efficiency of a transformer is maximum when Srf aA* ]A) Iron loss is more than copper loss B) Iron loss is equal to copper loss

C) Iron loss is less than copper loss D) None of these tu,,.

iii) Core type of transformers are used to handle and _ voltages. "

A) Low and High B) Low and Medium C) High and Medium D) None otfhe*'ti-iv) Copper loss in a transformer is a _ loss. ;"',"

b.",t-.

d.

Explain the construction and working of a transformer. j (06 Marks)Find,*lrc number of turns on the primary and secondary side of a 4401ffi Itr, 50 Hz singlephas'b,marsformer, if the net area of cross section of the core is 30 fqrx'gnd the maximumflux dtsstly"is 1Wb/m2. *..1'

['= (04 Marks)

A single p@transformer working at 0.8 pf has an efficiencyrffilh at both three fourth fulIload and tull f600 kW. Determine the effrcienc,,r

l,,ry$il.I.-load,

unity power#ff;

Choose the correCt""a"h,plyers for the following (04 Marks)i) A non salient pohfqtor is used in _ alterr1ffi.

A) Low speed "';"';B) High speed . . C) Medium speed D) A and Bii) The speed at which a 4a'BOle alternator hab tbbe driven to generate a voltage at 50 Hz

i'-A) 1000 rpm B) 150G-rym " C) 2000 rpm D) 1440 rpm

7a.

iii) The E. M. F. induced in an altbr.$htbr is given by the equationA)4.44fQzkpka B)2. C) 2.22fQ z kp ka D) 4.44 f Q zZ

c. A2 -pole, 3 - phase a\ernator running at 3000 rpni tr*Armature slots with 2 conductors ineach slot. CalculatEthe flux per pole required to generats a line voltage of 2300 V.Distribution facfq'iS 0.952 and pitch factor is 0.956. (06 Marks)

A) DC $[$(b. How are alternators classified? W

iv) The field winding of an a

ith a neat diaA how the difference between lHffi

iS* *, excited.:-a c) Bot-=-= I Both DC and AC D) None of these

(08 Marks)

d' Define tt"ti ' of an alternator' =11=

(02 Marks)

a. Choose"tlie"borrect answers for the following : :"=

"' .= (04 Marks)

i) .,',Fhe frequency of the rotor current is _.t^

N % B) sf c) sf 2 D}Nqqe of these

: ,,, .ii) In a 3 - phase induction motor, the slip speed is given by _

A)Ns B)N C)NS-N D)N-N6I-iii) The synchronous speed of three phase induction motor is given by _ . .;....::

., r: illalr \* ;'11 B)Ns:120P D) No- ^'

t20INiv) A 3-0 induction motor having 4 - poles, 50Hz runs at 1440 rpm, the slip rs

A) 3% B) s% c) 4% D) t%b. With a neat diagram, explain the working principle of 3 - S induction motor. (06 Marks)c. A 10 pole induction motor is supplied by a 6 - pole alternator which is driven at 1200 rpm.

If the motor nms with a slip of 3%, what is its speed? ' (06 Marks)d. Why does an induction motor need a starter? (04 Marks)

**,l(**.

3 of 3

k B r( t 3 E L O r t1USN

I I ll Semester B.E Degree Examination, June/July

CONSTITUTION OF INDIA AND PROFESSIONAL ETHI(coMMoN TO ALL BRANCHES)

Time: 2 hrs.l [Max. Marks: 50

INSTRUCTIONS TO THE CANDIDATES

1.Anry..era1lthefiftyquestions,eachquestioncarriesonemark.

2. Use on!"{B-Iack ball point pen for writing / darkening the circlos,.,

3. For each i$estion, after selecting your answer, darken flle- appropriate circle

corresponding to,the same question number on the OMR sheet.

Darkening two cirbtas.for the same question makes the answer invalid.4.

5. Damaging/overwritirgr- 'using whiteners on the OMR sheets are strictly

prohibited.

1. Equality before law permits 1,,1:: 1 ,.

a) Legislation based on race, religiortl,,oa$e sex and place of birthb) Legislation classifi cation and pro'hibits class Jggislationc) Class legislation and prohibits legislature classificationd) Legislative classification _based on caste but prohibits class legislation based on

religion. , \:^:,$;

Legally permissible ,4r ,. r boy and girl is "',,,:::,, ""'

a)25 and23 ,,::

,,.', -'b) 21 and 18 c) 16 and 18,' ;"

d) 20 and 18

This is not the funetion of Election commission '"uu*l"t .

a) selection of the candidates b) preparation of electoral rulesc) deterry .ine code of conduct to candidates d) allotment of symbols

The Ministers hold office during the pleasure of President which infact moans during the

,,

3.

4.

5...:,,

.:

6.

Magna Cartais a written document of 13th century assuring liberities awarded to

p]-opsure of

; ar ihe Parliament b) the Lok sabha

a) Indian citizenb) British citizens

The Vice Presidenta) Rajya Sabha

c) the Prime Minister d) None ".{"}"Ff:t

b) French citizensd) Citizen of the world by U.N.O.

of India is ex - officio chairman of

7.

c) Planning commission

Cooking meansa) Boiling under pressurec) Making deceptive statementsd) Misleading the public about the quality of product

-D1-

b) Law commissiond) Finance commission

b) Retaining result which fit the theory

9.

Elocentric tendencies meana) Superiority complexc) Arrogant and irresponsible behavior

This is not a fundamental dutya) Respect to National Flag and National Anthem

,::,

b) Safeguard public propertyc) Respect to elders and teachersd) Renounce the practices insulting the dignity of women

Total number of Articles in Indian Constitution"','g'.; 445 b) 420 c) 400 d) 395 ,

11. Whifumendment deals with establishment of municipalities as apr.t of,'bonstitutional,,,:" :

-\10crP18/28

b) Interpreting situation from limited viewd) Habit of condemning views of others

'\''"'c) 15 '.. '.::::::d)s

'f0.

':, ".::,

a) 74th''".-,""'; b) 76th c) 86th "€)144th"

d" rtl . :: ::' '="

12. To become il}nAg. of the High Court, one must be practicing=ad$otate of High court fora period of at lehsP-_ _years

wnrc,E;q{n-

systertutr.

a) 20 "::: r".b) 10

a) upper caste peopl. il ,., b) highly eridtii'ed peoplec) persons holding high posr@t"raving higher*ift&dme of backward class of peopled) Educated people. P.!'-

14. Voting age of citizen is reduced frofir-ZI to 18 years by- constitutional amendmenta) 42nd b) 61st c) 7th d) 55th

15. Under the Indian constitution, th€mubject ofhdministration have been divided intoa) three lists b) two-}futs - e)-&ur lists d) five lists

1116. Legislature council is ,,,,,,,,,,,,.,',,-." 'l'iia) dissolved after 6 years b) after 3 years

c) after 5 years d) not dissolved

17. What is the mini*iutn age for becoming MP at Lok sabha and Rajya sabha

a) 25 and lp'i ' '"' b) 25 and 30 c) 18 and 25 d) 30 and25

Itq_si r*

b) one of the ways of misusinglthe truthd) None of these :'''

.:'18. Lyrng is',,,, "'

a) disFnesty..:c) dheatmg

19. .&de of the salient features of our constitution is' .a) It is partly rigid partly flexible b) It is tully flexible

... ,. -, c) Fully rigid d) None of these

,.rr',; 20. Right to religion is not subject to

,,.'.; '

a) public order b) public morality c) public welfare d) public health

21. Financial emergency can be proclaimed under the articlea) 2s6 b) 3s6 c) 360 d) 3s2

22. According to Indian constitution, the power of amending the constitution are vested witha) Parliament of Indiac) People of India

b) President of Indrad) The Prime Minister of India

-D2-

10crP18/2823. In the Indian constitution, the fundamental rights

a) were added by the first amendment b) formed part of the original constitutionc) were added by the 42nd amendment d) were added by the 24th amendment

24. The Chief Election Commissioner is appointed by thea) Chief Justice b) President c) Prime Minister d) Governor

25. To declare National Emergency a decision must be taken by the

.-:., a) Rajya Sabha b) Lok Sabha c) Union Cabinet"*i;i., d) Both by the Lok Sabha and Rajya Sabha.

26.' p*fiq,pctive principles come under_ of the constitutiona)T',Art= II b) Part - III c) Part - IV

27. The giound for the impeachment of the President

a) Failur'e,toifollow the advice given by the Prime Ministerb) Unable to discharge his duties due to old age

c) Violation of constitution

a) Speaker oflok Sabha

.g):l,Fice President

34;,," icle 19 provides

..',,, a) Seven freedoms b) Five

'i..l[,,::"' .i.,.,,,,-d

::1] ,i.l,ai:

". o1r

..:: :

d) Six freedomq ,,tt,

d) Misbehaviour with, Foreign dignitaries.

28. The speaker of Lok r#ffia) Appointed by the Preskfent

...- .., ..,' '

30. Revealing confidential informatiorramounts toa) violation of patent '

,, , b) ,"rnjsuse of truth

c) breach of contract d) criminal breach of trust.

29.

b) Electetf'by members ofparliamentc) Appointed by the vice Pi6i#ent

| !$ _:::

d)81.,.| by the members of Lok sabha

The Number of members nominated by the Piesident to Rajya Sahba isa) 12 b) 10 '...,,'..-. =. t' c) 14 d)8

a) Expost facto laws ..l.: b) post facto"lawsc) Post Export laws " d) None of th.*r,,.,,,=

32. Which of the fol ing writ is issued by the court in case of illdgolrdetention of a persona) Certiorari.., b) Mandamus c) Habeas corpus ''ld) $uo - warrants

31. Passing criminal law with,iefospective effect is cilled as

33. The sole.,ihannel of communication between President and his councit{if,,tninisters is

b) Prime Ministerd) Opposition leader

freedoms c) Two freedoms

35. 'Respite'meansa) Awarding lesser punishment in place of originally awardedb) Temporary suspension of death sentence

c) Reducing the length of the punishment without changing the character of thepunishmentd) substituting one form of punishment for another of a lighter character.

GENTffi'$'LLfBf't{tt"t

-D3-

10cIP18/2836. The total number of ministers in the council or-rnrr,"rs of the Union shall not exceed

a) 2l o/o of the total members of Lok sabha

b) 12o/o of the total members of Lok sabha

c) 15 % of the total members of Lok sabha

d) 15 % of the total members of both Lok sabha and Rajya sabha

37. Right against exploitation seeks to protect the weaker sections of the soc

a) giving equal pay for equal work for both men and women. b) proving compulsory education for children below the age of 14 years

,,:'.','. ' c) prohibiting human traffeking and Begar

38.

39.

40.

41.

d) None of theseI

btr*third of the members of Rajya Sabha retire . !,r! :i la) 6{ryyear b) every two years c) every three years d) eYe}y four years

' ': 't:":"

The directjve principles of the state policy do not direct the state to..efttleavour to protect

a) Environrnentb) the objects::,ofartistic interest ofNational importanc€ ..,*,

\ rn

c) Forest " d) the interest of.@Orities

The Chief Justice arif,i>1her Judges of the State High Cihrt hold office until they attainthe age of 1..:,.1i,

a) 58 years b) 60'!e.4rs c) 65 years d) 62 years

A person arrested has to be pfrtlu'wd"before-ftfurigistratea) 24 hours b) 48 houis,,,i'-,,,,,,,

,.',,,n3 72 hours d) 96 hours

The owner of the patent right retains ft= r-=a) 100 years b) 20 years, ;=,".,.='= c) 50 years d) 75 years

42.

43. This is not the dishonesty in Engineeringa) Forging b) Tritmling c) Bkndingis d) Cooking

44. The constitution empowsfs,State Government to make speciaial law forb) formen ".: ,'

d) women and chil&an

The constitution empo**r* St,

a) unemployed you{$"}.,c) workers --$:,

'u+ "l

Which state arndng the following has two45. houses

a) Tamilnad11.'' -"1r ''

b) Andhra Pradesh c) West Bengal "':,''"d) Karnataka

46. There is.iiti"provision for impeachment ofa) Ju{gm of Supreme court and high court b) Vice Presidentc),BMident d) Governor''i

t""'"'' "' ' :: '

47.i""${ho is the President of India ,' ,''.'.. i"t) Mrs. Pratibha Patil b) Mr. Pranab Mukharjee

.,l'ti c) Dr. A.P.J Abdul Kalam d) Mr. S.M. Krishn .,.

.,, ',.'' 48. Fear is ..responsibility'i' a) away to shift b) an impediment c) Both a and b d) a way to comrpt

49. If one considers engineering profession as a building, then the following is its foundation

- ,,,

a) accepting the risk b) imagination

50. A fault tree is used to :

a) To improve safetyc) Assess the risk involved

c) Honesty d) Creativity

b) To claim compensationd) Take free consent

{.***rf

-D4-