Iit-ianspace - Aieee 2011 Paper Set 02

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  • AIEEE2011PaperSet02IMPORTANTINSTRUCTIONS: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.

  • PART19167QNo.1.

    (1) Statement1istrue,Statement2isfalse

    (2)Statement1istrue,Statement2istrueStatement2isNOTacorrectexplanationforStatement1

    (3) Statement1istrue,Statement2istrueStatement2isacorrectexplanationforStatement1.

    (4) Statement1isfalse,Statement2istrue.

    9168QNo.2.

    (1) 0

    (2) H

    (3) H

    (4)

    9169QNo.3.

    (1) 5/4

    (2) 0

    (3) 3/2

    (4) 3/4

    9170QNo.4.

    Thecurvethatpassesthroughthepoint(2,3),andhasthepropertythatthesegmentofanytangenttoitlyingbetweenthecoordinateaxesisbisectedbythepointofcontactisgivenby:

    (1)

    (2)

    (3)

  • (4)

    9171QNo.5.

    Ascientistisweighingeachof30fishes.Theirmeanweightworkedoutis30gmandastandarddeviationof2gm.Later,itwasfoundthatthemeasuringscalewasmisalignedandalwaysunderreportedeveryfishweightby2gm.Thecorrectmeanandstandarddeviation(ingm)offishesarerespectively:

    (1) 32,4

    (2) 28,2

    (3) 28,4

    (4) 32,2

    9172QNo.6.

    (1)

    (2)

    (3)

    (4)

    9173QNo.7.

    (1) 2

    (2) 0

    (3) 1

    (4) 2

    9174QNo.8.

    Thedistanceofthepoint(1,5,9)fromtheplanexy+z=5measuredalongastraightlinex=y=zis:

    (1)

    (2)

  • (3)

    (4)

    9175QNo.9.

    (1)

    (2)

    (3)

    (4)

    9176QNo.10.

    (1)

    (2)

    (3)

    (4) xy=1

    9177QNo.11.

    Thereare10pointsinaplane,outofthese6arecollinear.IfNisthenumberoftrianglesformedbyjoiningthesepoints.Then:

    (1)

    (2)

    (3)

    (4)

    9178QNo.12.

  • (1) Statement1istrue,Statement2isfalse

    (2)Statement1istrue,Statement2istrueStatement2isNOTacorrectexplanationforStatement1

    (3) Statement1isfalse,Statement2istrue

    (4) Statement1istrue,Statement2istrueStatement2isacorrectexplanationforStatement1.

    9179QNo.13.

    (1) Statement1isfalse,Statement2istrue

    (2)Statement1istrue,Statement2istrueStatement2isNOTacorrectexplanationforStatement1

    (3) Statement1istrue,Statement2istrueStatement2isacorrectexplanationforStatement1.

    (4) Statement1istrue,Statement2isfalse

    9180QNo.14.

    Theequationofthecirclepassingthroughthepoint(1,0)and(0,1)andhavingthesmallestradiusis:

    (1)

    (2)

    (3)

    (4)

    9181QNo.15.

    Theequationofthehyperbolawhosefociare(2,0)and(2,0)andeccentricityis2isgivenby:

    (1)

    (2)

  • (3)

    (4)

    9182QNo.16.

    (1) {2,3}

    (2) R{2}

    (3) R{3}

    (4) R{2,3}

    9183QNo.17.

    SachinandRahulattemptedtosolveaquadraticequation.Sachinmadeamistakeinwritingdowntheconstanttermandendedupinroots(4,3).Rahulmadeamistakeinwritingdowncoefficientofxtogetroots(3,2).Thecorrectrootsofequationare

    (1) 4,3

    (2) 6,1

    (3) 4,3

    (4) 6,1

    9184QNo.18.

    (1)

    (2)

    (3)

    (4)

  • 9185QNo.19.

    (1)

    (2)

    (3)

    (4)

    9186QNo.20.

    (1) 2

    (2) 3

    (3) 0

    (4) 1

    9187QNo.21.

    (1) Statement1isfalseandstatement2

    (2) Statement1istrueandstatement2isfalse

    (3) Bothstatementsaretrue

    (4) Bothstatementsarefalse

    9188QNo.22.

    (1)

  • (2)

    (3)

    (4)

    9189QNo.23.

    Theareaboundedbythecurvesy =4xandx =4yis:

    (1) 8/3

    (2) 0

    (3) 32/3

    (4) 16/3

    9190QNo.24.

    (1) Statement1istrue,statement2istruestatement2isnotacorrectexplanationforstatement1

    (2) Statement1istrue,statement2istruestatement2isacorrectexplanationforstatement1.

    (3) Statement1isfalse,statement2istrue.

    (4) Statement1istrue,statement2isfalse.

    9191QNo.25.

    Theonlystatementamongthefollowingthatisatautologyis

    (1)

    (2)

    (3)

    (4)

    2 2

  • 9192QNo.26.

    (1)

    (2)

    (3)

    (4)

    9193QNo.27.

    (1) 9

    (2) 6

    (3) 18

    (4) 3

    9194QNo.28.

    (1) 33

    (2) 53

    (3) 66

    (4) 29

    9195QNo.29.

    (1) Statement1istrue,statement2isfalse.

    (2) Statement1istrue,statement2isacorrectexplanationforstatement1.

    Statement1istrue,statement2istruestatement2isnotacorrectexplanationforstatement1.

  • (3)

    (4) Statement1isfalse,statement2istrue.

    9196QNo.30.

    (1)

    (2)

    (3)

    (4)

  • PART29197QNo.31.

    Attimet=0saparticlestartsmovingalongthexaxis.Ifitskineticenergyincreasesuniformlywithtimet,thenetforceactingonitmustbeproportionalto:

    (1)

    (2) t

    (3)

    (4) constant

    9198QNo.32.

    (1) 4:1

    (2) 3:2

    (3) 2:1

    (4)

    9199QNo.33.

    TwoparticlesofequalmassmgoaroundacircleofradiusRundertheactionoftheirmutualgravitationalattraction.Thespeedofeachpartialwithrespecttotheircentreofmassis:

    (1)

    (2)

    (3)

    (4)

    9200QNo.34.

  • (1) 4

    (2) 1

    (3) 2

    (4) 3

    9201QNo.35.

    (1) 15%

    (2) 20%

    (3) 5%

    (4) 10%

    9202QNo.36.

    (1) 2q

    (2) 11q

    (3) 5q

    (4) 3q

    9203QNo.37.

    (1) 0.2V/m

    (2) 1V/m

    (3) 0.5V/m

    (4) 0.1V/m

  • 9204QNo.38.

    (1)

    (2) zero

    (3)

    (4)

    9205QNo.39.

    (1) greaterthan0.148kJ

    (2) between0.148kJand0.028kJ

    (3) lessthan0.028kJ

    (4) equalto0.002kJ

    9206QNo.40.

    (1)

    (2)

    (3)

    (4)

  • 9207QNo.41.

    Acontainerwithinsulatingwallsisdividedintoequalpartsbyapartitionfittedwithavalve.OnepartisfilledwithanidealgasatapressurePandtemperatureT,whereastheotherpartiscompletelyevacuated.Ifthevalveissuddenlyopened,thepressureandtemperatureofthegaswillbe:

    (1)

    (2) P,T

    (3)

    (4)

    9208QNo.42.

    (1) 2

    (2) 1

    (3) 0.5

    (4) 4

    9209QNo.43.

    TheoutputofanORgateisconnectedtoboththeinputsofaNANDgate.Thecombinationwillserveasa:

    (1) NOTgate

    (2) NORgate

    (3) ANDgate

    (4) ORgate

    9210QNo.

    Twopositivechargesofmagnitudeqareplacedattheendsofaside(side1)ofasquareofside2a.Twonegativechargesofthesamemagnitudearekeptattheothercorners.Startingfromrest,ifachargeQmovesfromthemiddleofside1tothecentreofsquare,itskineticenergyatthecentreof

  • 44. squareis:

    (1) zero

    (2)

    (3)

    (4)

    9211QNo.45.

    Combinationoftwoidenticalcapacitors,aresistorRandadcvoltagesourceofvoltage6Visusedinanexperimentona(CR)circuit.Itisfoundthatforaparallelcombinationofthecapacitorthetimeinwhichthevoltageofthefullychargedcombinationreducestohalfitsoriginalvoltageis10second.Forseriescombinationthetimeneededforreducingthevoltageofthefullychargedseriescombinationbyhalfis:

    (1) 10second

    (2) 5second

    (3) 2.5second

    (4) 20second

    9212QNo.46.

    (1)

    (2)

    (3)

    (4)

  • 9213QNo.47.

    (1)

    (2)

    (3)

    (4)

    9214QNo.48.

    (1) Awavetravellingalong+xdirection

    (2) Awavetravellingalongxdirection

    (3)

    (4)

    9215QNo.49.

    (1)

    (2)

    (3)

    (4)

    9216QNo.

  • 50.

    (1) 2.89cc

    (2) 9.28cc

    (3) 49.8cc

    (4) 28.9cc

    9217QNo.51.

    Twomercurydrops(eachofradiusr)mergetofrombiggerdrop.Thesurfaceenergyofthebiggerdrop,ifTisthesurfacetension,is:

    (1)

    (2)

    (3)

    (4)

    9218QNo.52.

    (1)

    (2)

    (3)

    (4)

    9219QNo.53.

    (1) 3mV

    (2) 4.5mV

    (3) 1.5mV

    (4) 6.0mV

  • 9220QNo.54.

    (1)

    (2)

    (3)

    (4)

    9221QNo.55.

    Whichofthefollowingfouralternativesisnotcorrect?Weneedmodulation:

    (1)toreducethetimelagbetweentransmissionandreceptionoftheinformationsignal

    (2) toreducethesizeofantenna

    (3)toreducetheefractionalbandwidth,thatistheratioofthesignalbandwidthtothecentrefrequency

    (4) toincreasetheselectivity.

    9222QNo.56.

    (1) 3k/5

    (2) 2k/5

    (3) k

    (4) 5/2k

    9223QNo.57.

    (1) Statement1iscorrectbutstatement2isnotcorrect.

  • (2)Statement1andstatement2botharecorrectandstatement2isthecorrectexplanationofstatement1.

    (3)Statement1iscorrect,statement2iscorrectandstatement2isnotthecorrectexplanationofstatement1

    (4) Statement1isincorrect,statement2iscorrect.

    9224QNo.58.

    Whenmonochromaticredlightisusedinsteadofbluelightinaconvexlens,itsfocallengthwill:

    (1) increase

    (2) decrease

    (3) remainsame

    (4) doesnotdependoncolouroflight

    9225QNo.59.

    Statement1:OnviewingtheclearblueportionoftheskythroughaCalciteCrystal,theintensityoftransmittedlightvariesasthecrystalisrotatedStatement2:Thelightcomingfromtheskyispolarizedduetoscatteringofsunlightbyparticlesintheatmosphere.Thescatteringislargestforbluelight

    (1)Statement1istrue,statement2isfalse.

    (2) Statement1istrue,statement2istrue,statement2isthecorrectexplanationofstatement1

    (3) Statement1istrue,statement2istrue,statement2isnotthecorrectexplanationofstatement1

    (4) Statement1isfalse,statement2istrue.

    9226QNo.60.

    (1) Statement1istrue,statement2isfalse.

    (2) Statement1istrue,statement2istrue,statement2isthecorrectexplanationofstatement1

    (3) Statement1istrue,statement2istrue,statement2isnotthecorrectexplanationofstatement1

    (4) Statement1isfalse,statement2istrue.

  • PART39227QNo.61.

    Identifytheincorrectstatementfromthefollowing:

    (1) Oxidesofnitrogenintheatmospherecancausethedepletionofozonelayer.

    (2) Depletionofozonelayerisbecauseofitschemicalreactionswithchlorofluoroalkanes.

    (3) Ozoneabsorbstheintenseultravioletradiationofthesun.

    (4) Ozoneabsorbsinfraredradiation.

    9228QNo.62.

    Whenr,PandMrepresentrateofdiffusion,pressureandmolecularmass,respectively,thentheratiooftheratesofdiffusion(r /r )oftwogasesAandB,isgivenas:

    (1)

    (2)

    (3)

    (4)

    9229QNo.63.

    (1)

    (2)

    (3)

    (4)

    9230QNo.64.

    Thechangeintheopticalrotationoffreshlypreparedsolutionofglucoseisknownas

    (1) specificrotation

    (2) mutarotation

    (3) tautomerism

    (4) racemisation

    A B

  • 9231QNo.65.

    (1) 0.555m

    (2)

    (3)

    (4) 33.3m

    9232QNo.66.

    Themolecularvelocityofanygasis:

    (1) inverselyproportionaltothesquarerootoftemperature.

    (2) directlyproportionaltosquarerootoftemperature.

    (3) inverselyproportionaltoabutetemperature.

    (4) directlyproportionaltosquareoftemperature.

    9233QNo.67.

    Thecorrectorderofacidstrengthofthefollowingcompounds(A)Phenol(B)pCre(C)mNitrophenolpNitrophenolis

    (1)

    (2)

    (3)

    (4)

    9234QNo.68.

    (1) 1361.5kJ

    (2) 1371.5kJ

    (3) 1364.0kJ

    (4) 1369.0kJ

  • 9235QNo.69.

    Thermosettingpolymer,Bakeliteisformedbythereactionofphenolwith:

    (1)

    (2) HCHO

    (3)

    (4) HCOOH

    9236QNo.70.

    :

    (1) 2Methyl1pentene

    (2) 1Pentene

    (3) 2Pentene

    (4) 2Methyl2pentene

    9237QNo.71.

    (1) 219kJ

    (2) 165kJ

    (3) +54kJ

    (4) +219kJ

    9238QNo.72.

    (1)

    (2) 5

    (3)

    (4)

  • 9239QNo.73.

    ThecorrectorderofelectrongainenthalpywithnegativesignofF,Cl,BrandI,havingatomicnumber9,17,35and53respectively,is:

    (1)

    (2)

    (3)

    (4)

    9240QNo.74.

    Thefrequencyoflightemittedforthetransitionn=4ton=2ofHe+isequaltothetransitioninHatomcorrespondingtowhichofthefollowing?

    (1) n=3ton=2

    (2) n=4ton=3

    (3) n=3ton=1

    (4) n=2ton=1

    9241QNo.75.

    A5%solutionofcanesugar(molarmass342)isisotonicwith1%ofasolutionofanunknownsolute.Themolarmassofunknownsoluteing/molis:

    (1) 136.2

    (2) 171.2

    (3) 68.4

    (4) 34.2

    9242QNo.76.

    (1) Forlead+2,fortin+2

    (2) Forlead+4,fortin+4

    (3) Forlead+4,fortin+2

  • (4) Forlead+2,fortin+4

    9243QNo.77.

    (1)

    (2)

    (3)

    (4)

    9244QNo.78.

    TheproductsobtainedonheatingLiNO willbe:

    (1)

    (2)

    (3)

    (4)

    9245QNo.79.

    (1)

    (2)

    (3)

    (4)

    9246QNo.80.

    (1)

    (2)

    3

  • (3)

    (4)

    9247QNo.81.

    (1) Ethylhydrogensulphate

    (2) Acetylene

    (3) Diethylether

    (4) Ethylene

    9248QNo.82.

    Thenonaromaticcompoundamongthefollowingis:

    (1)

    (2)

    (3)

    (4)

    9249QNo.83.

    Thenumberoftypesofbondsbetweentwocarbonatomsincalciumcarbideis:

    (1) Twosigma,onepi

    (2) Twosigma,twopi

    (3) Onesigma,twopi

    (4) Onesigma,onepi

    9250QNo.84.

  • (1)

    (2)

    (3)

    (4)

    9251QNo.85.

    Coppercrystallisesinfcclatticewithaunitcelledgeof361pm.Theradiusofcopperatomis:

    (1) 157pm

    (2) 181pm

    (3) 108pm

    (4) 128pm

    9252QNo.86.

    (1) 2.2g

    (2) 0.49g

    (3) 0.45g

    (4) 22.05g

    9253QNo.87.

    (1) Oxidationnumberofsodiumdecreases

    (2) Oxideiondonatesapairofelectrons

  • (3) Oxidationnumberofoxygenincreases

    (4) Oxideionacceptssharinginapairofelectrons

    9254QNo.88.

    WhichofthefollowinghasmaximumnumberoflonepairsassociatedwithXe?

    (1)

    (2)

    (3)

    (4)

    9255QNo.89.

    (1) Nitrobenzeneandchlorobenzene

    (2) Phenolandbromobenzene

    (3)Fluorobenzeneandphenol

    (4) Benzenediazoniumchlorideandbenzonitrile

    9256QNo.90.

    Whichoneofthefollowingcomplexionshasgeometricalisomers?

    (1)

    (2)

    (3)

    (4)