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\.:!-2.,/Firsl scmcsrer B.E. Deeree F\a;$rEtcion. Dec.20l:l/Jan.20l5

Engineering Mathematics - |Tihe:3l s. Max. Marks: too

Note. Answr ait' FlyE[tnl qtestions, s.le.tihg oNEft qtustion ftoh a.h Da ,

;.

I :,"

?"=

;.

.r x ll \r = a(\.y), \=.cos0.l=rnn0

(*)'(*)'r+)' :(*)'

a. rrsin r!=2loc(\+l) !ro\trlat (,,+r!.,.*1:"*r11*+rly - +(n,+,1)r,, =o

84af=_!tf Y=cos(n1ogx).pmlcrlrxr xr!^.-(2n+l)xy,. +(m:+nr)y. =(]

Find thc ansle ofintcsecrion beueen rhc ovlq r=aloso and r= 1-Dcrirean expie$ion ro findradiL\ orcunaruEin Canssian lb.n

Find rhe pedal cquation r' =sechns

ShowdrattheBdiusolcusa$reofthecune \r+r,j=3rr ar

Find rh. n$t lour Don zetu re.ns m the *pairon ot ftx) =-Llr (^u =-lll- nrN rh

- . ftu.\.\ J - yr +zr. \ = xy+ yz+^ a.d

3

3./2

\ ='-)+z Henle in.0 et

(i i)

5

Exatoiirc the tuicrior (x, y) = I sinG:+):) ror exrremun.

PART 3

A panlcle moves along the cu\€ r=:tr. !=r1 4r. z=lt 5 rind rtre

vebcny a.d a.ce Lemrion ar t = | in rbedftction i 2j+tiI Jngu ren,,'.,ndc.u.c.'".,,-.,r,."i ' '"

,i\UsesencralrLlcs to race tle cuNe y:G r)=x',a>l]

t:)

the redtr.!on fo.nruhf.r l.o{ \nr

(xy' +y)dr+2(x:y: +x+ yr)dy=0.

$at rhe orthogonal trajedories orrhe

ot.ardk,ll]\ r=h\nr :l2 r

-', -',lo -l

lf ! =rvx r. prove ihal curlr

Showthat dir(curlA)=0.

rrr=\ +tr-7kind rl=r.

I4MATII

a,',r"* ,.[;]PARI' 4

ramily of rardrords r=rcos

sotu" !I-,run*= u,.""*

lfrhe reftpemture ol lhe ar n looc and the substance cook nurninutes. nnd wh.n tbe tenperature will be 40oC.

l06Ir,rln

(07 tvhrkt

nre conespondine ei,ren vector ot

E4BI=53,=11,2x 2y-z=2 bycauss eliminaiton method.

b Diasonalize &eEalnr.

as rhe i.rtial eisenlector Ierlom 5 itemrioD\

Sbow thar rhe ransfomdion y =x +2x:+5rr, y: =2xr +4xr +rlr.. y, = _x. + 2x. is..f, . .,Jfirdrl."n.- e .,-o-tur ,lSolve byLUdecomposni.nnethod 2x+}+.12=12. Br-ly+22=20..1x+|y 2=:ll.

(07 \rrr!,Reduce the quadraiic lbrm 2rr +2vr zay-2y tzx i.to cbonical 6rm Hence i.dicateits naruE, ranl. indcx md signar

2y+

LI,c. Dermine ihe largesr

rllttA=l r 2 4l

[-r ,r ro

sun.g *itt [0. o, r]'

1t'.\

t4cHEt2

First SemesterB.E. Degree Examination, Dec.2014/J^n-2015Engineering Ghemistry

Timcr I hrs Max. Marksiloo

Nor.t Ans|'et ah! FIVE fklt qu.nnrn:, eL.lihg dlea\r ONE qn stioh Jro"t each pai.

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):

L

!a.Bf=-l

a DedveNemst s equation lor snrst clcclrode potolalb. Describe the constru.tion and rorking of caloncl olcctrode.c. whal ar. baneries? !xplai. rhe lolloL{iDs bartery chidcterisrlcs :

J De..r.berl,e.or..a, ior..0d,or -gol c\"1 1e. t)d.d.bd'p')

a. Whar are Retaren.e elecr.de\? Ertlrin rh€ dereminarion ol electrcdeunkDoqn clecdode usnE cllonel el.clrode.Whar aE concentarioD cells? The enrlolrhe cell Ag Ag\Or (0.0031M) AgNO.uls foutrd to bc 0.07,1V xt 293K. Cxl.ulatelhe value ol\ and \ite ccllrcrction

(0.Iark,c. Denne tucl cell. lxphnl tbe constructionandvorkingoimcrhanoloxygen tuelcell.

d Explainthe con$ructio. and *orkins oflithium ion banery.

a. what is Anodningl Explain ihe anodizine olalumiriumb. what is Cathodic pDtectioD? Explain sacrificial anodi. merhod

a Explain the clcclrochemical the.ry ofcotrosl.n by iaking non as an eranpleb. Wnat n aoftsion?Explaii rhe lillowing i(ros allectnrg rhe$te of.onosioD:

i) NaMc ofcorosio.Fr.ddcr ,i) An.dr aid Carhod,c arcas .

c whrt is Electio le$ platiilgl Uite the difeEnce bers.m electmpleri.g and

d. Disc{ssthc electoplatinAdlgold unngAcidic C}lnide bath.

a what i\ Cracknrsl Explain the uLridized cata\1ic $acklng procc$ (05 Yrrt,o Orbr r,(]. o. l) .9o J.o d 'e 1dd.-b.dJ'trrre rrerrrJr I .ror'n".,r

r"e',. "'.-.0 rro.o lS' r, 2bi rhe ^1'er e,tltrJe, or.olor nertro lo er.r \ear orstcan rre 0.136ks and 1157 klrk8 respectivelr Calculate irs GCV and NCV. Civen Sp.

c. Explainthceii.l ola.y hv. facrors on rhe naiurc ofelcctrc deposit.d. Explain the proces ofelectrolcs plating ofcopper$ith relevant reactions.

Hear = 4l8l kr, kg , I'C and 1', olHr is2.s.

o DrcustheproducrioDolsolarEzdc silicon by Unio. Clrbrdeprcccsid. What are ibe rdvr.taqes a.d disadla.fugd\ of PV cells?

v) Reronnrsorpelrol.c Discussrhecon$ructionand workingofa Pv ccll.d, What isdopiDs?Discus rhepunficlrion orsiliconof,one ' refinins

!t:

Expla,n thc dcremrinarionolcalorifir \dlueola solid tuelusina

Definethe follo*ingierns :

!!3r:ia Whar h boiler lecd *arq! Erplain rnc salc an,i sludge

b. Wbar n desalination? !xplain thedesalinarionofsalinec. Whar arc nano narqialsl Explain rhc synthcsisolMlo

d Wnie, nore on carb.n nan. tuhe\

I4CHEI2

fomution in boiler Ventdrrhen rll(0sIlrrkt

$arerbyelecrrodialysn (0srrrrrktmfteialbySol eelnethod

(05M.rk,(0s lrrrkt

Explain the nee ndical mechanilm!radiiti.nNlynerizationby takrnsVinyl chloide as a(0s\Lrk,

whar areadhesives? Extlain dre svDihesh and applicationsofcpo\yresin (05}Iark,wite the slnthesn and aFplicario.s of tlre follo{ing p.llmers :

i) Polynrethyl methacrylare ij) Teflon. (0sn rr,\Vhat are polyner co mpo site s? Exflain the preparation and 6es olKevlarfiber. (05 lrrls)

Calculaie the nrmber avemge ald Nei-qh alerale molecnlxr nass of r polrner $nh the

1., .*f i'r0," rJcr tn Gro", :

I 1,." I 1,."

.l l]-.. h1o,.,ne,cL\ri.o, r: Aronn.qe,siorH i.D A,or..l

wcight olcl =15.5. (o5Nrr.k,Whar n shs traBition tempemrure? How n n afiected b],i) l enno lecu lar forces ii) flexibiLil,v. (o5Nlrrk,whar h C onduct tne polydr? Explatnrhc mcchanisnrotcond(ctton in co1:"nilin",os

rv,,r.,rG,re nE srDthesis and uses olthc folloNrn-q polymeNl) Siliconrubber ii) polt.arbonatcs. (0sMrikt

Dern?'OD,d,uld'e le ODolr,ee' .e. i,o. r'd 2'...,'',ereqdires 3 5cn'ol0.00l \ Kr Crr Or \olution n,cooplcte oidati.nDiscu$ hdeuilrhe sotreningoiwa(erbyion .xch!.geprocesExplain the synthesis ofoa.onareriah by hldro theriul proccss.whar are Fullcrencesl Explain the sl'nrhesk and uscs oatnller..es.

10

LJSN 14PCDI3

i

8,2

:..

i.

i2

="?6.i

3

Nore, Answq anr FIVEJit qaestions, s.le.linsaieas:t ONE quesrions lroh each part.

PART II a. what ispseudocode? Explain Nith ar exanrple

b l.tLtr' cr rc'Gor' proEr' \r,JDe\r'ple.c. Explain any live operatos used in c lxnauas-".

gn?. value olxand ts coeflicieDB nsins HorEls methodExplain string manipularion tuncrlons. with exanples

what isa tunction? Wrfte a fuDction ro ind the $Lmolnvonumbes,Explain the wo catcgorics ofargument pasi.e re.h.qu$, *rrh examples.

liirst Scm€ster B.E. Degree Examination, Dec.2014/Jan.2015Programming in rC'and Data Structures

,.'/ ,-:\

l' :i...

a. wnar n ryDe conversionl txtlain l*o trles ofltle coNesions wnh examples. (06llrrl,b \\,rne a progEm in C tonndtnemaandpe.nnelerolarccran-qle. (06 rrk,c. Dcfiner 1)vaiable li)CoNtant iiil A$ociatilny i!)Precedence (u3rbrk9

PARI,2e. whai is l}o {ay seLection statemem'l Explxin li ii+he, isred

ii- lse vith examF les and s),.tarb lvrire a prolm.r nmr Etes iltee .oeflicGnts G, b. drd O of a

(aa + bx + c) 6 input and coDrpute all posible roots and prift

PART 3

wh,t is a. anayl IloN ls a sinsle dinrension aray h declaied lDd inirialiadl (06rr k,wnte a c prolmD to claluarc the polynonial i(x)=aaxa+arxr+a,x:+a]x+a6,tora

a Explain $Iitchstatemenl withanexamplc. (06 \lrrltb whlt isa loop?Eaplai. rhedin:erent loopsi. C lansulse. (t0iualks)c Showhon break aDd continue shternens arenscd in a C pro!:ram. $ith en'nple (0{\r".(\)

write a C f0nction nti6e(iun) thal ac.epts an integer argnmcnr and rcrums I ia rheargtrnEnt n aFdme d.a 0od,envnc. Wrnca prosramnnr iDvokes rhis tunction to ecncrarc

{0r irrxrk,o tunctior. sitlt aD example

prime nunbe$ beNeenrhc givcn raDecs.

PAR r' ,l

\vh n siructuE data rype, lxplainSiowbos a structuelariable h pa\sed as a paBmeter to

lxplain thc conceDt otanay of strucrures. Nirh a sunabb C prognfr

what is a file?Explai', fopen(), fclose0 tunctions.Explain how dre inpur is accepted liom a fileanddisplayedCiveD two text do.u'nenlary files Ramayana nr" and Mahnbhaarha in \\'.irc a Cproeran ro cEaic a ne{ nlc "Karnaraka in' thar appends rhe co.rert of the lile'-Ra,noylDa ' ro thc lilc "N,lah,bh.rdlaa.i.' Also calculare rhe nunrber oawords and.c$

\ ""'^"'/ ,/''>i'/vPss"ertrru

\,f \ |

"O.Mauoc firdtion.

Definercu. Explafnon priditiw datatpes? Explain.

It a]@s with its application,

14PCD13

C lo ffnd ilE sum and mea, ofall eleme s in m(03 Mr_r!)

#define and +include pEprceser dnetives. . !(03M'rkl)

9 a, what b a poirteC write a pDEIam inmy. Ur poirtd tecbnology.

7a.b. WhatispEprcc6sordiEchrc? E\plain,-') -'' -j) Dlunic mmory allocation

(?w/+

^o'-..)\.pv

{iiuii) Stack o:

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t.d"t'-os'

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I4ELEI5

-2Ol1l.l^n-2O15Fir( Seme(er B.E. DcSree haBasic Electrical Ensineerins

z

ir

1t

a1

aaF!?''=

1,

!4,

".,J

!Z

Ntte. ADsNct FIt E lu questins, selec.i,aat lea!,t ONE fiq question frou ea.h ,art.

I a. Find thc valrcsor.denai. alllnebmnchesorthenetworkshos. rr_ig. Ql (a).(06^tsrk,

b Acurcmot20 A flo*rdmugh IrvoamnrereF A and Bin sedes The poremal differenceacros Ais02 v ed xcros B is 0l V.IindhoN the same curenr $ill dilide beNeen A

:nd B shen rl'e) rrl nlr,mle.c Coils Aand B in a mrynetic circuir hale 600 and 500lurns respectively A curcnl ofs A ir

coil r\ pmduces a 0ux of0.04 Wb.llco.efliciatofcouplinC is 0.2,.aLcuLalei) ScLl'indudoccolcoilA \ dBopei cncuned.ii) Flux liikmE wnh ihe coil Bili)Therverase e,nrirducedi.coilB shen ihe fiur slrh it.hanges ftom zetu lo tuUvalue

iv)Mutual indu.lm.e. (08v,rttta. A.ncun consish ollwo parallel Esisio* havingresistbces of20 O and l0 O rcspectively.

comdctedinsenesunha15Orcsislor llrhecuftentihrouehl0OEshroris l.2A.find(i) Curerrs in:0 O md l5 O resnb^. (ii) Ihe volkgc acros the yhoh cncuil.(iii) Vokase aooss l5 O resisrorand:0 o resnror.(iv)Toralpo*ercorsutued in the cncuit

b. obtai, rhe rerarion bcr*ccn se, indudances. tuuruar indu.@ce ""..

."-.,!t,:'Jinj|coupling. (06r{rris)

. A coil.onsists 01600 tunr and a curcnr oll0 A in llle coil gives rise ro a naelciic liur olI

'n. wcbcr. Calculale (i) selfinductance (ii) lndr.edehrand (iii) Iiergl nored \yhen

rhc ctrft.r is rveEed in 001 second. (06\r!14PART 2

x. De vc the eapression torrmarure lorque developen in a d.c. moror 106 \rr.rob. Erplail uilh a ncar diagratu. the.onstu.tional fearures and operalion oia. niuction ryp.

single phare cneEy meler (06trrr(s)c A l0 kw,300 v DC shunl scnemlor hxs matuft and field resislances ol0 05 ohD ind

I00 ohh rspe.6€ly. Colculale rhe lolal po\yer dcvclopcd by rhe amafur when it dehtNtulloulpulpower. lBlfkn

a. Derl\elhe ehfequarion lorldcecoenlor (06)r!dob \\,nh r neat diagranl Erplainlhe construction andlorkingofd)ianonetertre wahmerr

(06vrinc. A200vlap$oundd.shunlnolorhas80.lconducrosonrbamraiu.e Th.r.sGh.ccofrhe

anmrure *inding h 05 O and thal df field winding is 200 O Ttrc motor laLcs a curcd ol'2l A. $e llux perpole r 30 mBb Findthespeed ind torq uc dc v.loped in rhemoror.

(03Nr'rktl.f?

( ".,:.

h arJhr- \ luoj r"".'ppled o u.Lr.on n' gof.:. ol-4?. ro

..p- r;'in -ne. Dekn tr' 'i' o.'' Juen' J_' I 'i' " r'_'tu0, o ^ " , o .u ne i b . ' h . . n u.

r" \e.e.. \ orc l.iiq(n) Prec,urions ro be rakenloprevenr clectricsho'l

r. A voluge ol20o v is applied 1o s sencs cncun conseing of! ssisror. u mJn'ror md !rM.ilr i-r,D.r'; ti_n\ lr0\anlr '\r'nh:. tun. aa!iidr',tcrc - .. o'ri q..'r.n.( .r."1'oeosr_ r'''lnJL' c

.arhnc€ md cabsiiire;mlarc. .:h Frnaln tte n4e'ssilv and the operalion oredh leakrge circuirbEat" (06\lirlts)

- Ii rp-om.+ / -.o-'3'o.n.' c' n !dlrl'lfthe ioi cuft.r ofdre coibin ionis (20+jlo)mpercs,nnd

(i) voltag. acrc$ ihe conbrdion.(n) Cunenhinlhesobmnches.

PART -4a. Obrain the tldionshiP besv.en hre md phasc, voltages and cuftns in a lhEc phase

bxlturced narconnccted syncn. (06nh4th A :l.hase delrr cdnnccled bal,n.ed lQd .onnmcs a poser 0160 ks. irking a la-qgitrg

cum;r .r 2oo A at a line volr,ge o r'100 !'- 50 ll2 Find lhe lammet"" n,.u.n ,n1ii ,,,,u,,

c A l2 pole 500 en slar.omecl€d altmatuI has '18 slots wilh 15 conducros p;slot' T|elux p;r polc is a.(]2 *de6. rhe sindinc lactor is 0.97 and pilch rhfior is 098. calcrlate

thc phdse emfand line ent

a Deine phasc sequence md list oul rhe advaniages ollhrec phase sv{cn as conpardd ro

si'gle phas. systenr (0611r*,l, r. ,l- pit. lSOir +. tt .o,ncned allemaror has 9 slots / p.lc a 8 c'nductors pcr slor

Ddennine ihc x p{ pole to gile, rcnninal vohage oflloo V.-fake \tinding ltrdor xnJ

n ch r.br a' rnit,. t , 0", p""";" a r-pl '.. ndr. u. rou \. 50 I ' rpoir !''

mm$Ed b! nm wanmdd metlod dd readings $er 1000 w aDd -1000 w' Cilculak(i) ToralpoBerlnpur (,i) Powerractdr (iii) Linecuftir

taBI=sI Denle efrleouarion olatrnslbmer (06vr nb. ln a 25 (VA,2OOOD00 V single phxsc idnrtumcr. the nu a.d tulIload c.Pper lo$cs

'rel5O {.ts and 4OO u.lts .esFdcrivcl}. Calculate rhe .llicicncv ar unilv po\er lit'(or on

(i) tullload (iil halrnLl load (03 Nrilk,. An 8 0,,'., -msn' ru1.6, ll]'l'..'u|'"l_.po"e"o.bpo ..-uo''nio'\h.\

,'.,1 u,p., $1,".n n"lPo rh('nd'."o'i'o'n'

a. A 600 KVA rLansfomer has an eilicicnc] 01929'" rt tullload- uniry p l and hrlf tull load'

0s. Dekm,ne ,(ra .0.\ ,, _.o, ot .t.tu-J 0op I

.-,tor^n ;_;o'r. J''rple'p ' 'oitf h' 1'"or ''o'u' "'.'trnr.r rl".Jr' f .rlc.."l 'te 'o'lD(i\c i e oroirior lo .l''l 1'{1. en!). '

PART ' 3obkln expie$ion ior tho ctrreDt rhroush the

::;'! i:

..ai-':=

;i .d

12.

-. 1:: : ! :. 1-:i:! ]]g :: ;, -!:

'= 1a, --.: 2

r= a- :: i; i

"=a .;1 - 2 a.,: ] ; : .L?; :i - . ..

' i>

::E

ta:-1= l.t,, i'=

'=l , -.

!1 :

p::!;Fii!!1t L' .= !:: := !; ..: .4..=!i :: ,l;1!-:-.l !:- a: ".!, ; :f i :a; :: -. =-1"r :: .\.:" i::: .:1:i:i";. i .'- .i iai =i .i .'=, .' .i: : 1i :. :,, ;'--.'- - : : .;

-r1 r1.'1 . i- a. . 3 .. , ,trt:;

=,.:.;= =i == !:, I ii..7 ==1 ;; ':t: :-

= -= ! ;a'' 'a! = : - : .:l . ? - -i

1: ; | -ai 1 i ?i

av ..3 u i "''

ai

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a

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-- .1

2

:ln ?,

i i.' .

a.a .z la..?

-'/1 ,:e"=:,^:i.:'' ; . 1a > :'-', . i:.

-ii;aa , r. ; .!: | -:_i ; -_:i- I:.aEii . l:ala zii,a=-

: l1 ; -- :t't " .! .; : 7

: :'.- " :' :.: l -i E, i ; : . r j:a i:. z a! \ - t il 2

: -" ,, : -- 1" -- .1 -; ::t ." ': :" =-: _ -- :- ;' -t.

_

=.11:C;E'.i-7 ;. = E. =+1 2 i )' i ! i.. : :i r- i; -='i :i !i 1: .;,r ,: 7 -

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