iit-ianspace solutions - aieee 2010 paper
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aieeeeeeee 21030 paper soltuojsn ioihgnhebjhTRANSCRIPT
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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.
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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:
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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
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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
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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
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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
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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
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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:
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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
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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
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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
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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
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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
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Answer:Planar
Explanation:Foraparallelcylindricalbeam,wavefrontwillbeplanar
QNo.58.Answer:Minimumontheaxisofthebeam
Explanation:Thespeedoflightinthemediumisminimumontheaxisofthebeam.
QNo.59.
Answer:
Explanation:
QNo.60.Answer:6.25N
Explanation:
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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
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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
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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+
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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
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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
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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