iit-ianspace - aieee 2011 paper set 01
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AIEEE2011PaperSet01IMPORTANTINSTRUCTIONS: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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PART19077QNo.1.
(1)
(2)
(3)
(4)
9078QNo.2.
(1)
(2)
(3)
(4)
9079QNo.3.
(1)
(2)
(3)
(4)
9080QNo.4.
-
(1)
(2)
(3)
(4)
9081QNo.5.
(1) 132
(2) 144
(3) 132
(4) 144
9082QNo.6.
(1)
(2)
(3)
(4)
9083QNo.7.
Theareaoftheregionenclosedbythecurvesy=x,x=e,y=1/xandthepositivexaxisis
(1) 5/2squareunits
(2) 1/2squareunits
(3) 1squareunits
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(4) 3/2squareunits
9084QNo.8.
(1) Statement1istrue,Statement2isfalse.
(2) Statement1isfalse,Statement2istrue.
(3)Statement1istrue,Statement2istrue,Statement2isnotacorrectexplanationforStatement1.
(4) Statement1istrue,Statement2istrue,Statement2isacorrectexplanationforstatement1.
9085QNo.9.
(1)
(2)
(3)
(4)
9086QNo.10.
(1) 2/5
(2) 5/3
(3)2/3
(4) 3/2
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9087QNo.11.
(1)
(2)
(3)
(4)
9088QNo.12.
(1)
(2)
(3)
(4)
9089QNo.13.
AmansavesRs.200ineachofthefirstthreemonthsofhisservice.IneachofthesubsequentmonthshissavingincreasesbyRs.40morethanthesavingofimmediatelypreviousmonth.HistotalsavingfromthestartofservicewillbeRs.11040after.
(1) 21months
(2) 20months
(3) 19months
(4) 18months
9090QNo.14.
ConsiderthefollowingstatementsP:SumanisbrilliantQ:SumanisrichR:SumanishonestThenegationofthestatementSumanisbrilliantanddishonestifandonlyifSumanisrichcanbeexpressedas
-
(1)
(2)
(3)
(4)
9091QNo.15.
(1) (1,1)
(2) (1,0)
(3) (1,1)
(4) (0,1)
9092QNo.16.
(1) 3
(2) 5
(3) 3
(4) 5
9093QNo.17.
(1) 2
(2) 5
(3) 13
(4) 7
9094QNo.18.
(1)
-
(2)
(3)
(4)
9095QNo.19.
(1) 3
(2) 4
(3) 5
(4) 2
9096QNo.20.
(1)
(2)
(3) doesnotexist
(4)
9097QNo.21.
(1) Statement1istrue,Statement2isfalse
(2) Statement1isfalse,Statement2istrue.
(3)Statement1istrue,Statement2istrueStatement2isnotacorrectexplanationforStatement1.
(4) Statement1istrue,Statement2istrueStatement2isacorrectexplanationforstatement1.
9098QNo.22.
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(1) Statement1isfalse,Statement2istrue.
(2) Statement1istrue,Statement2isfalse
(3) Statement1istrue,Statement2istrueStatement2isacorrectexplanationforstatement1.
(4)Statement1istrue,Statement2istrueStatement2isnotacorrectexplanationforStatement1.
9099QNo.23.
(1)
(2)
(3)
(4)
9100QNo.24.
(1)
(2)
(3)
(4)
9101QNo.25.
LetAandBbetwosymmetricmatricesoforder3.Statement1:A(BA)and(AB)Aaresymmetricmatrices.Statement2:ABissymmetricmatrixifmatrixmultiplicationofAandBiscommutative
(1) Statement1istrue,Statement2isfalse.
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(2) Statement1isfalse,Statement2istrue.
(3)Statement1istrue,Statement2istrueStatement2isnotacorrectexplanationforStatement1.
(4) Statement1istrue,Statement2istrueStatement2iscorrectexplanationforstatement1.
9102QNo.26.
(1)
(2)
(3)
(4)
9103QNo.27.
(1)
(2)
(3)
(4)
9104QNo.28.
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(1) Statement1istrue,Statement2isfalse.
(2)Statement1istrue,Statement2istrueStatement2isnotacorrectexplanationforStatement1.
(3) Statement1isfalse,Statement2istrue.
(4) Statement1istrue,Statement2istrueStatement2isacorrectexplanationforstatement1.
9105QNo.29.
(1)
(2)
(3)
(4)
9106QNo.30.
(1) 2
(2) 1
(3) zero
(4) 3
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PART29107QNo.31.
(1) 2.1kJ.
(2) 4.2kJ
(3) 8.4kJ
(4) 84kJ
9108QNo.32.
(1) 20min
(2) 28min.
(3) 7min
(4) 14min
9109QNo.33.
(1)
(2)
(3)
(4)
9110QNo.34.
EnergyrequiredfortheelectronexcitationinLi fromthefirsttothethirdBohrorbitis
(1) 36.3eV
++
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(2) 108.8eV
(3) 122.4eV.
(4) 12.1eV
9111QNo.35.
(1)
(2)
(3)
(4)
9112QNo.36.
(1)
(2)
(3)
(4)
9113QNo.37.
AcurrentIflowsinainfinitelylongwirewithcrosssectionintheformofasemicircularringofradiusR.Themagnitudeofthemagneticinductionalongitsaxisis
(1)
(2)
(3)
(4)
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9114QNo.38.
(1)310Kand248K
(2) 372Kand310K
(3) 372Kand330K
(4) 330Kand268K
9115QNo.39.
(1) 4s
(2) 8s
(3) 1s
(4) 2s
9116QNo.40.
(1)
(2)
(3)
(4)
9117QNo.41.
Acarisfittedwithaconvexsideviewmirroroffocallength20cm.Asecondcar2.8mbehindthefirstcarisovertakingthefirstcaratarelativespeedof15m/s.Thespeedoftheimageofthesecondcarasseeninthemirrorofthefirstoneis
(1) 1/15m/s
(2) 10m/s
(3) 15m/s
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(4) 1/10m/s
9118QNo.42.
Ifawireisstretchedtomakeit0.1%longer,itsresistancewill
(1) increaseby0.05%
(2) increaseby0.2%
(3) decreaseby0.2%
(4) decreaseby0.05%
9119QNo.43.
(1)
(2)
(3)
(4)
9120QNo.44.
(1)
(2)
(3)
(4)
9121
-
QNo.45.
(1)
(2)
(3)
(4)
9122QNo.46.
AfullychargedcapacitorCwithinitialchargeq isconnectedtoacoilofselfinductanceLatt=0.Thetimeatwhichtheenergyisstoredequallybetweentheelectricandthemagneticfieldsis
(1)
(2)
(3)
(4)
9123QNo.47.
Twobodiesofmassesmand4mareplacedatadistancer.Thegravitationalpotentialatapointonthelinejoiningthemwherethegravitationalfieldiszerois
(1)
(2)
(3) zero
(4)
9124QNo.48.
Athinhorizontalcirculardiscisrotatingaboutaverticalaxispassingthroughitscentre.Aninsectisatrestatapointneartherimofthedisc.Theinsectnowmovesalongadiameterofthediscofreachitsotherend.Duringthejourneyoftheinsect,theangularspeedofthedisc
(1) continuouslyincreases
(2) firstincreasesandthendecreases.
0
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(3) remainsunchanged
(4) continuouslydecreases
9125QNo.49.
(1)
(2)
(3)
(4)
9126QNo.50.
(1)
(2)
(3)
(4)
9127QNo.51.
(1)Statement1isTrue,Statement2isTrueStatement2isnotthecorrectexplanationforStatement1.
(2) Statement1isTrue,Statement2isTrueStatement2isacorrectexplanationforStatement1.
(3) Statement1isFalse,Statement2isTrue.
-
(4) Statement1isTrue,Statement2isFalse.
9128QNo.52.
(1)
(2)
(3)
(4)
9129QNo.53.
Ascrewgaugegivesthefollowingreadingwhenusedtomeasurethediameterofawire.Mainscalereading:9mm,Circularscalereading:52divisionsGiventhat1mmonmainscalecorrespondsto100divisionsofthecircularscale.Thediameterofwirefromtheabovedatais
(1) 0.005cm.
(2) 0.52cm
(3) 0.052cm
(4) 0.026cm
9130QNo.54.
(1) 0.15mV.
(2) 1mV
(3) 0.75mV
(4) 0.50mV
9131QNo.
ThisquestionhasStatement1andStatement2.Ofthefourchoicesgivenafterthestatements,choosetheonethatbestdescribesthetwostatements.Statement1:Skywavesignalsareusedforlongdistanceradiocommunication.Thesesignalsare
-
55. ingeneral,lessstablethangroundwavesignals.Statement2:Thestateofionospherevariesfromhourtohour,daytodayandseasontoseason.
(1) Statement1isFalse,Statement2isTrue.
(2) Statement1isTrue,Statement2isTrueStatement2isacorrectexplanationforStatement1.
(3)Statement1isTrue,Statement2isTrueStatement2isnotthecorrectexplanationforStatement1.
(4) Statement1isTrue,Statement2isFalse.
9132QNo.56.
Amassmhangswiththehelpofastringwrappedaroundapulleyonafrictionlessbearing.ThepulleyhasmassmandradiusR.Assumingpulleytobeaperfectuniformcirculardisc,theaccelerationofthemassm,ifthestringdoesnotsliponthepulley,is
(1)
(2)g
(3)
(4)
9133QNo.57.
Awaterfountainonthegroundsprinkleswaterallaroundit.Ifthespeedofwatercomingoutofthefountainisv,thetotalareaaroundthefountainthatgetswetis
(1)
(2)
(3)
(4)
9134Q
-
No.58.
(1)Statement1isTrue,Statement2isTrueStatement2isnotthecorrectexplanationforStatement1.
(2) Statement1isTrue,Statement2isTrueStatement2isacorrectexplanationforStatement1.
(3) Statement1isFalse,Statement2isTrue.
(4) Statement1isTrue,Statement2isFalse.
9135QNo.59.
(1) morethan6butlessthan9
(2)morethan9.
(3) lessthan3
(4) morethan3butlessthan6
9136QNo.60.
(1)
(2)
(3)
(4)
-
PART39137QNo.61.
ThepresenceorabsenceofhydroxylgrouponwhichcarbonatomofsugardifferentiatesRNAandDNA?
(1)
(2)
(3)
(4)
9138QNo.62.
Amongthefollowingthemaximumcovalentcharacterisshownbythecompound
(1)
(2)
(3)
(4)
9139QNo.63.
Whichofthefollowingstatementiswrong?
(1)
(2)
(3)
(4)
9140QNo.64.
(1) 4Bromophenol
(2) 2,4,6Tribromophenol
(3) 2Bromophenol
(4) 3Bromophenol
-
9141QNo.65.
A5.2molalaqueousutionofmethylalcohol,CH OH,issupplied.Whatisthemolefractionofmethylalcoholintheution?
(1) 0.100
(2) 0.050
(3) 0.086
(4) 0.190
9142QNo.66.
(1)
(2)
(3)
(4)
9143QNo.67.
(1) 204.30g
(2) 400.00g
(3) 304.60g
(4) 804.32g
9144QNo.68.
Thereductionpotentialofhydrogenhalfcellwillbenegativeif:
(1)
(2)
(3)
(4)
3
-
9145QNo.69.
Whichofthefollowingreagentsmaybeusedtodistinguishbetweenphenolandbenzoicacid?
(1)
(2) AqueousNaOH
(3) Tollen'sreagent
(4) Molischreagent
9146QNo.70.
TrichloroacetaldehydewassubjectedtoCannizzaro'sreactionbyusingNaOH.Themixtureoftheproductscontainssodiumtrichloroacetateandanothercompound.Theothercompoundis:
(1) 2,2,2Trichloropropanol
(2) Chloroform
(3) 2,2,2Trichloroethanol
(4) Trichloromethanol
9147QNo.71.
Whichoneofthefollowingorderspresentsthecorrectsequenceoftheincreasingbasicnatureofthegivenoxides?
(1)
(2)
(3)
(4)
9148QNo.72.
Agasabsorbsaphotonof355nmandemitsattwowavelengths.Ifoneoftheemissionsisat680nm,theotherisat:
(1) 518nm
(2) 1035nm
(3) 325nm
(4) 743nm
9149QNo.
Whichofthefollowingstatementsregardingsulphurisincorrect?
-
73.
(1) Theoxidationstateofsulphurisneverlessthan+4initscompounds.
(2)
(3)
(4)
9150QNo.74.
(1)
(2)
(3)
(4)
9151QNo.75.
(1) Thecomplexgiveswhiteprecipitatewithsilvernitrateution
(2) Thecomplexisparamagnetic
(3) Thecomplexisanouterorbitalcomplex
(4)
9152QNo.76.
(1) octahedral
(2) pentagonalbipyramid
(3) squarepyramid
(4) trigonalbipyramid
9153QNo.77.
-
(1) 24times
(2) 32times
(3) 64times
(4) 10times
9154QNo.78.
Thestrongestacidamongstthefollowingcompoundsis:
(1)
(2)
(3) HCOOH
(4)
9155QNo.79.
Identifythecompoundthatexhibitstautomerism:
(1) 2Pentanone
(2) Phenol
(3) 2butene
(4) Lacticacid
9156QNo.80.
(1) 1.8atm
(2) 3atm
(3) 0.18atm
(4) 0.3atm
9157QNo.81.
Incontextofthelanthanoids,whichofthefollowingstatementsisnotcorrect?
(1)Availabilityof4felectronsresultsintheformationofcompoundsin+4stateforallthemembersoftheseries.
-
(2) Allthemembersexhibit+3oxidationstate.
(3) Becauseofsimilarpropertiestheseparationoflanthanoidsisnoteasy.
(4)Thereisagradualdecreaseintheradiiofthememberswithincreasingatomicnumberintheseries.
9158QNo.82.
(1)
(2)
(3)
(4)
9159QNo.83.
(1) 1.82BM
(2) 5.46BM
(3) 2.82BM
(4) 1.41BM
9160QNo.84.
Inafacecentredcubiclattice,atomAoccupiesthecornerpositionsandatomBoccupiesthefacecentrepositions.IfoneatomofBismissingfromoneofthefacecentredpoints,theformulaofthecompoundis:
(1)
(2)
(3)
(4)
9161QNo.85.
TheouterelectronconfigurationofGd(AtomicNo.:64)is:
(1)
-
(2)
(3)
(4)
9162QNo.86.
Boroncannotformwhichoneofthefollowinganions?
(1)
(2)
(3)
(4)
9163QNo.87.
Ozonolysisofanorganiccompoundgivesformaldehydeasoneoftheproducts.Thisconfirmsthepresenceof:
(1) anisopropylgroup
(2) anactylenictriplebond
(3) twoethylenicdoublebonds
(4) avinylgroup
9164QNo.88.
Sodiumethoxidehasreactedwithethanoylchloride.Thecompoundthatisproducedintheabovereactionis:
(1) 2Butanone
(2) Ethylchloride
(3) Ethylethanoate
(4) Diethylether
9165QNo.89.
(1)
-
(2)
(3)
(4)
9166QNo.90.
SilverMirrortestisgivenbywhichoneofthefollowingcompounds?
(1) Acetone
(2) Formaldehyde
(3) Benzophenone
(4) Acetaldehyde