iit-ianspace solutions - aieee 2010 paper

AIEEE2010PaperIMPORTANTINSTRUCTIONS:1.

TheAnswerSheetisKeptinsidetheTestBooklet.WhenyouaredirectedtoopentheTestBooklet,takeouttheAnswerSheetandfillintheparticularscarefully.

2.

Thetestisof3hoursduration.

3.

4.

UseBlue/BlackBallPointPenonlyforwritingparticulars/markingresponsesonSide1andSide2oftheAnswerSheet.Useofpencilisstrictlyprohibited

5.

Nocandidateisallowedtocarryanytextualmaterial,printedorwritten,bitsofpapers,pager,mobilephone,anyelectronicdevice,etc.,excepttheAdmintCardinsidetheexaminationhall/room.

6.

RoughworkistobedoneonthespaceprovidedforthispurposeintheTestBookletonly.

7.

Thereisonlyonecorrectresponseforeachquestion.Fillingupmorethanoneresponseineachquestionwillbetreatedaswrongresponseandmarksforwrongresponsewillbedeductedaccordinglyasperinstruction6above.

8.

OnCompletionofthetest,thecandidatemusthandovertheAnswerSheettotheInvigilatorondutyintheRoom/Hall.However,thecandidatedareallowedtotakeawaythistestbookletwiththem.

9.

DonotfoldormakeanystraymarksonAnswerSheet.

PART1QNo.1.Answer:56/33

Explanation:

QNo.2.

Answer:

Explanation:

QNo.3.Answer:i+j2k

Explanation:

QNo.4.Answer:y=3

Explanation:Paralleltoxaxisdy/dx=018/x3=0Equationoftangentis(y3)=0(x2)y=3

QNo.5.Answer:secx=(tanx+c)y

Explanation:cosxdy=y(sinxy)dx

QNo.6.

Answer:

Explanation:

QNo.7.Answer:x=1

Explanation:Thelocusofperpendiculartangentsisdirectrixx=ax=1

QNo.8.Answer:(3,2)

Explanation:

QNo.9.Answer:SisanequivalencerelationbutRisnotanequivalencerelation

Explanation:xRyneednotimpliesyRxS:m/nsP/qm/nsm/nReflexive

QNo.10.Answer:1

Explanation:f(x)=k2xifx

Answer:Atleast7

Explanation:Firstrowwithexactlyonezerototalnumberofcases=6Firstrow2zeroswegetmorecasesTotalwegetmorethan7

QNo.12.Answer:Statement1istrue,statement2isfalse

Explanation:N(S)=20C4

=[17+14+11+8+5+2]/20C4

QNo.13.Answer:Statement1istrue,statement2istruestatement2isnotthecorrectexplanationforstatement1

Explanation:A(3,1,6)B=(1,3,4)MidpointofAB=(2,2,5)liesontheplaneAistheimageofB

QNo.14.Answer:Statement1istrue,statement2isfalse

Explanation:=90.28+20.28

QNo.15.Answer:Statement1istrue,statement2isfalse

Explanation:a2+bc=1,bc+d2=1

QNo.16.Answer:Statement1istrue,statement2istruestatement2isthecorrectexplanationforstatement1

Explanation:f(x)=1/[ex+2ex]

QNo.17.Answer:Thereisaregularpolygonwithr/R=2/3

Explanation:

QNo.18.Answer:1

Explanation:

QNo.19.Answer:1

Explanation:Letz=x+iy[z1]=[z+1],thereforeRez=0andx=0Only(0,0)willsatisfyallconditions.Numberofcomplexnumberz=1

QNo.20.Answer:60

Explanation:

QNo.21.

Answer:

0

Explanation:

QNo.22.Answer:34min

Explanation:Till10thminutenumberofcountednotes=15003000=n/2[2*148+(n1)(2)]=n[148n+1]n2149n+3000=0n=125,24Totaltime=24+10=34min

QNo.23.Answer:1

Explanation:

QNo.24.Answer:21

Explanation:

QNo.25.Answer:4

Explanation:g'(x)=2(f(2f(x)+2)[d/dx(f(f2f(x)+2))

QNo.26.Answer:108

Explanation:Totalnumberofways=3C2*9C2=3*9*8/2=3*36=108

QNo.27.Answer:Nosolution

Explanation:

QNo.28.Answer:2/7

Explanation:n=9C3n=3C1*4C1*2C1Probability=24*6/(9*8*7)=2/7

QNo.29.Answer:11/2

Explanation:

QNo.30.Answer:35

Explanation:

PART2QNo.31.Answer:I =I =Blv/R,I=2Blv/3R

Explanation:Amovingconductorisequivalenttoabatteryofemf=vBl

QNo.32.Answer:1/4

Explanation:U=1/2q2/c=1/2c(qoet/T)2

QNo.33.Answer:Statement1istrue,Statement2istruestatement2isthecorrectexplanationofstatement1

Explanation:Ifitisacompletelyinelasticcollisionthenm1v1+m2v2=m1v+m2vv=(m1v1+m2v2)/(m1+m2)K.E.=p12/2m1+p22/2m2ThereforetotalKEcannotbelost

QNo.34.Answer:Statement1istrue,statement2isfalse

Explanation:SincethefrequencyofultravioletlightislessthanthefrequencyofXrays,theenergyofeachincidentphotonwillbemoreforXrays.ButK.ErangesfromzerotoK.E.maxbecauseoflossofenergyduetosubsequentcollisionsbeforegettingejectedandnotduetorangeoffrequenciesintheincidentlight.

QNo.35.

Answer:

Explanation:Oilistheleastdenseofthemsoitshouldsettleatthetopwithwateratthebase.Nowtheballisdenserthanoilbutlessdensethanwater.Itwillstayoilwaterinterface.

QNo.36.

1 2

2 2

Answer:y =x +constant

Explanation:V=Kyi+Kxjdx/dt=Ky,dy/dt=Kxintegratingtheequationy2=x2+Constant

QNo.37.

Answer:

Explanation:ThemagneticfieldinbetweenbecauseofeachwillbeinoppositedirectionAtx=d,Binbetween=0Forxinbetween=(j)

QNo.38.

Answer:

Explanation:Att=0,inductorbehaveslikeaninfiniteresistanceSoatt=0,i=V/R2

i=V/Req=V(R1+R2)/R1R2

QNo.39.Answer:0.8Ns

Explanation:Fromthegraph,itisastraightlineso,uniformmotion.becauseof

QNo.40.Answer:E >E

Explanation:Afterdecay,thedaughternucleiwillbemorestablehencebindingenergypernucleonwillbemorethanthatoftheirparentnucleus.

QNo.41.

Answer:

2 2

2 1

Explanation:

QNo.42.Answer:[AZ4]/[Z8]

Explanation:Inpositivebetadecayaprotonistransformedintoaneutronandapositronisemitted.Thenumberofneutronafterdecay(AZ)3X2+2X1Thenumberofprotonwillreduceby8.

QNo.43.

Answer:

Explanation:

QNo.44.Answer:ORgate

Explanation:Truthtableforgivencombinationis

QNo.45.Answer:0.75

Explanation:

QNo.46.Answer:Xrays

Explanation:4X103=1020Xhff=6.03X1016HzitliesintherangeofXrays

QNo.47.Answer:5,1,2

Explanation:Checkthesignificantfiguresofthenumbers.Thenumberofsignificantfiguresforthenumberare5,1,2

QNo.48.Answer:242W

Explanation:ThegivencircuitisunderresonanceasXL=XCP=V2/R=242W

QNo.49.

Answer:

Explanation:Applyshelltheoremthetotalchargeuptodistancercanbecalculatedasfollows

QNo.50.Answer:b /4a

Explanation:U(x)=a/x12b/x6

QNo.51.Answer:3

2

Explanation:

QNo.52.

Answer:

Explanation:

QNo.53.Answer:14m/s

Explanation:S=t3+5

QNo.54.Answer:4.9m/s inverticaldirection

Explanation:

QNo.55.

Answer:

Explanation:Foraparticleinuniformcircularmotion,

QNo.56.Answer:Converge

Explanation:Asintensityismaximumataxis,

Andbeamwillconverge.

QNo.57.

2

2

Answer:Planar

Explanation:Foraparallelcylindricalbeam,wavefrontwillbeplanar

QNo.58.Answer:Minimumontheaxisofthebeam

Explanation:Thespeedoflightinthemediumisminimumontheaxisofthebeam.

QNo.59.

Answer:

Explanation:

QNo.60.Answer:6.25N

Explanation:

PART3QNo.61.Answer:+352kJ/mol

Explanation:

QNo.62.Answer:0.25h

Explanation:

QNo.63.Answer:[Co(NH ) ]Cl

Explanation:

QNo.64.Answer:Aonly

Explanation:RateequationistobederivedwrtslowstepfrommechanismARate=k[Cl2][H2S]

3 6 3

QNo.65.Answer:1.27X10 mol

Explanation:n=PV/RT

QNo.66.Answer:2butene

Explanation:

QNo.67.Answer:0.0558

Explanation:VantHoff'sfactorforNa2SO4=3Tf=ikfm

=3X1.80X0.01/1=0.0558K

QNo.68.Answer:2Methylpropan2ol

Explanation:30alcoholsreactfastestwithZnCl2/Conc.HClduetoformationof30carbocationand2methylpropan2olistheonly30alcohol

QNo.69.Answer:Benzenediazoniumchlorideandfluorobenzene

Explanation:inthischemicalreaction,thechangeofionstakesplaceinN2andCl.Thisisdiazotizationreaction(BalZSchiemannreaction)

3

QNo.70.Answer:23.7

Explanation:MolesofHClreactingwithammonia=(molesofHClabsorbed)(molesofNaOHsolutionrequired)=(20X0.1X103)(15X0.1X103)=molesofnitrogeninorganiccompound

QNo.71.Answer:494nm

Explanation:

QNo.72.Answer:4,41X10 J/atom

Explanation:IEHe=13.6Z2He[1/121/ 2]=13.6Z2Hewhere(ZHe=2)(E1)Li+2=13.6Z2Li2X1/12=13.6Z2He+X[Z2Li+2/Z2He++]=4.41X1017J/atom

QNo.73.Answer:B>C>A

Explanation:SN1proceedsviacarbocationintermediate,themoststableoneformingtheproductfaster.HencereactivityorderforA,B,Cdependsonstabilityofcarbocationcreated.(allyl20

carbocation>20carbocation>10carbocation)

QNo.74.Answer:[Co(en) ]

Explanation:onlyoption(2)ishavingnonsuperimpossiblemirrorimage&henceoneopticalisomer.(asitdoeshaveanyelementofsymmetry)

QNo.75.Answer:72.0kPa

17

33+

Explanation:

QNo.76.

Answer:

Explanation:Product(b)hasconjugationofdoublebondwithbenzenering.

QNo.77.Answer:(2)only

Explanation:H2PO4(+H2OH3O++H2PO4(

Acidconjugatebase(ItisgivingH3O+henceacidic.

QNo.78.Answer:TheconcentrationofH andHCO areapproximatelyequal

Explanation:

AsK2

Explanation:

QNo.81.Answer:O >F >Na >Mg >Al

Explanation:forisoelectronicspecieshighertheZ/eratio,smallertheionicradiusF=9/10=0.9Na+=1.1Mg2+=1.2Al3+=1.3

QNo.82.Answer:1.2X10 g

Explanation:Whenprecipitationstartswhenionicproductjustexceedssolubilityproduct[Br]=1011

WeightofKBrtobeadded=1.2X109g=MolarityxMolecularMass(KBr)

QNo.83.Answer:2.5V

Explanation:=2.5V

QNo.84.Answer:10

Explanation:Mg2++2OH>Mg(OH)2([Mg+2][OH]2=1011M([OH]=104

pOH=4andPH=10

QNo.85.Answer:26%and32%

Explanation:packingfractionofcubicclosepackingandbodycenteredpackingare0.74and0.68respectively

2 + 2+ 3+

9

QNo.86.Answer:3methyl1pentene

Explanation:only3methyl1pentenehasachiralcarbon(andisasymmetric)

QNo.87.Answer:Carbohydrates

Explanation:itisatestcharacteristicofamidelinkage.Ureaalsohasamidelinkagelikeproperties.

QNo.88.Answer:Mn>Cr>Fe>Co

Explanation:Electrodepotentialbecomeslessnegativeasonegoesfromlefttoright.

QNo.89.Answer:Nylon6,6

Explanation:nylon6,6isapolymerofadipicacidandhexamethylenediamine,&itinvolvespolarunitswhichisresponsibleforHbonding.

QNo.90.Answer:T>T

Explanation:

e