iit-ianspace - aieee 2011 paper set 01

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AIEEE 2011 Paper Set 01 IMPORTANT INSTRUCTIONS: 1. The Answer Sheet is Kept inside the Test Booklet. When you are directed to open the Test Booklet, take out the Answer Sheet and fill in the particulars carefully. 2. The test is of 3 hours duration. 3. 4. Use Blue/Black Ball Point Pen only for writing particulars/marking responses on Side1 and Side2 of the Answer Sheet. Use of pencil is strictly prohibited 5. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile phone, any electronic device, etc., except the Admint Card inside the examination hall/room. 6. Rough work is to be done on the space provided for this purpose in the Test Booklet only. 7. There is only one correct response for each question. Filling up more than one response in each question will be treated as wrong response and marks for wrong response will be deducted accordingly as per instruction 6 above. 8. On Completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the Room/Hall. However, the candidated are allowed to take away this test booklet with them. 9. Do not fold or make any stray marks on Answer Sheet.

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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.

  • 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

  • (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

  • 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.

  • (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.

  • (2) Statement1isfalse,Statement2istrue.

    (3)Statement1istrue,Statement2istrueStatement2isnotacorrectexplanationforStatement1.

    (4) Statement1istrue,Statement2istrueStatement2iscorrectexplanationforstatement1.

    9102QNo.26.

    (1)

    (2)

    (3)

    (4)

    9103QNo.27.

    (1)

    (2)

    (3)

    (4)

    9104QNo.28.

  • (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

  • 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

    ++

  • (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)

  • 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

  • (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

  • (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