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QuestionRevision
Question1.
TheeneynethatproducesachiralcompoundupontreatmentwithH2inthepresenceofLindlar'scatalystis:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: B
Explanation:
Thisisacaseofchiralityintermsofdifferentsubstituentsonthebasisofgeometricalconfigurations(willbecoveredinmoredetailin
advancedstereochemistrysessions).
Question2.
At
,thesolubilityproduct(Ksp)ofCaF2inwateris
.Thesolubility(inmolperkgofwater)ofthesaltatthesame
temperatureis:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: D
Explanation:
Solutionofsparinglysolublesaltisdilutesolution.Fordilutesolution
Question3.
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Asolutionof0.1MNa2CO 3istitratedagainstHClusing(1)phenolphthaleinasanindicatorand(2)methylorangeasanindicator.The
valueof
isequalto:[(WherepH(1)ispHatendpointwithphenolphthaleinandpH(2)ispHatendpointwithmethyl
orange)(gasesareevolvedoffifany)][Given
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: C
Explanation:
Question4.
Whatquantityisrepresentedbytheslopeofthelineinthegraphofthetemperaturedependenceofthenaturallogofanequilibrium
constant?
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: D
Explanation:
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Question5.
Theplotof
versus
(whereXAandYAarethemolefractionsofAinliquidandvapourphases,respectively)islinearwith
slopeandinterceptrespectivelyaregivenas:
[A]
[B]
[C]
[D]
Noneofthese
YourAnswer:
CorrectAnswer: B
Explanation:
Question6.
19gofmoltenSnCl2iselectrolyzedforsometime,usinginertelectrodes.0.119gofSnisdepositedatthecathode.Ifnosubstanceis
lostduringtheelectrolysisthenfindwhichofthefollowingstatement(s)is(are)correct?[AtomicmassofSn=119,Cl=35.5]
[A]
[B]
[C]
[D]
EquivalentofSnCl2decomposedareequalto0.002
Equivalentofchlorineproducedareequalto0.002
EquivalentofSnCl4formedareequalto0.002
MassofSnCl2remainedafterelectrolysisis18.62g
YourAnswer:
CorrectAnswer: A,B,C,D
Explanation:
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Question7.
Acellutilizesthefollowingcellreaction:
WhichofthefollowingwillchangetheEMFofthecell?
[A]
[B]
[C]
[D]
WhenCo(II)nitrateisdissolvedinthecathodecompartment
WhenCo(III)nitrateisdissolvedinthecathodecompartment
WhenareaofZn(s)electrodeisdoubled
Whenadditionalwaterisaddedtotheanodecompartment
YourAnswer:
CorrectAnswer: A,B,D
Explanation:
If[Co2+]isincreased,Ecellwilldecrease
If[Co3+]isincreased,Ecellwillincrease
IfareaofZn(s)isdoubled,Ecellwillnotchange
Ifadditionalwaterisaddedinanodiccompartment,[Zn2+]willdecreaseandhenceEcellwilldecrease.
Question8.
ConsiderthefollowingBronstedacidbasereactionofsomeorganiccompoundsR1andR2.
Identifycorrectstatement(s):
[A]
[B]
[C]
R2,P1andP2arearomaticcompounds
HybridizationstateofNatominbothP1andP2issame
R1isantiaromatic
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[D]
QuestionRevision
BothR2andP1containsacloseloopofdelocalizable
YourAnswer:
CorrectAnswer: A,B,D
Explanation:
R1isnotantiaromaticitisnonaromatic.
Question9.
Usethestandardreductionpotentialstodeterminewhatisobservedatthecathodeduringtheelectrolysisofa1.0MsolutionofKBrthat
containsphenolphthaleinusinginertelectrodes.Whatobservationsis(are)made?
[A]
[B]
[C]
[D]
Solidmetalforms
Bubblesformandapinkcolourappears
DarkredBr 2(aq)forms
Bubblesformandthesolutionremainscolourless
YourAnswer:
CorrectAnswer: B
Explanation:
Reductionofwatertakesplaceatthecathode.
Bubblesformduetoevolutionof
andapinkcolourappearsduetoformationof
(Phenolphthaleinshowspinkcolourationinalkalinemedium).
Question10.
Whichofthefollowingplot(s)iscorrectforfirstorderreaction?(r=rateattime't'andr 0istheinitialrate,k=rateconstant,t=
temperature).
[A]
[B]
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[C]
[D]
YourAnswer:
CorrectAnswer: A,B,C,D
Explanation:
Question11.
Mercuriciodideisaddedtoanaqueoussolutionofpotassiumiodide.Identifythecorrectstatement(s).
[A]
[B]
[C]
[D]
Acomplexspeciesisformed
Numberofsoluteparticlesincrease
Freezingpointisraised
Boilingpointislowered
YourAnswer:
CorrectAnswer: A,C,D
Explanation:
Whencomplexionsareformedtheirsolutionsshowabnormallylowcolligativeeffectsthanexpectedbecausetheycontainfewer
particlesofsolutethanwouldotherwisebepresent.Whenalittle
isaddedtopotassiumiodidesolutionthenumberofsolute
particlesdecreases,andthereislowvalueofcolligativepropertiesi.e.freezingpointisraisedandboilingpointislowered.
Question12.
Considerthefollowingsequenceofreactionsandidentifycorrectstatement(s)
[A]
In
,NOgroupshowsI,+RandRelectroniceffects
[B]
In
groupshowsIandRelectroniceffects
[C]
In
groupshowsIand+Relectroniceffects
[D]
In
groupshowsIandRelectroniceffects
YourAnswer:
CorrectAnswer: B,C
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Explanation:
NOisadeactivatinggroup.
Question13.
Inthethreestependothermicreaction
thanwhichofthefollowingstatementsarecorrect?
[A]
[B]
[C]
[D]
StepIisfavouredbyhightemperatureandlowpressure
StepIIisfavouredbylowtemperatureandhighpressure
StepIIisfavouredbyhighpressureandhightemperature
StepIIIisfavouredbyhighpressureandhightemperature
YourAnswer:
CorrectAnswer: A,C,D
Explanation:
NA
Question14.
Equalvolumesoffollowingsolutionsaremixed,inwhichcasethepHofresultingsolutionwillbeaveragevalueofpHoftwosolutions?
[A]
[B]
[C]
[D]
pH=3(HNO 3)andpH=5(HNO 3)
pH=2(HNO 3)andpH=12(KOH)
pH=4.5(CH3COOH)andpH=9.5(NH3)(aq)[Ka(CH3COOH)=Kb(NH4OH)]
pH=3(HCN)andpH=11(NaOH)[KaofHCN=1010]
YourAnswer:
CorrectAnswer: B,C
Explanation:
Question15.
Whichofthefollowingstatementsis(are)correctabouthalflifeperiod?
[A]
[B]
[C]
Itisproportionaltoinitialconcentrationforzerothorder
Averagelife=1.44halflifeforfirstorderreaction
Timeof75%reactionisthriceofhalflifeperiodinsecondorderreaction
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[D]
QuestionRevision
99.9%reactiontakesplacein100minutesforthecasewhenrateconstantis0.0693min1
YourAnswer:
CorrectAnswer: A,B,C,D
Explanation:
Question16.
At298K,theEMFofthecell:
is0.7530V.Thestandardpotentialofthecalomelelectrodeis
0.2802V.ThepHofthesolutionis_____________.
YourAnswer:
CorrectAnswer: 8
Explanation:
Question17.
Howmany
bondelectronpairsarelocalizedintheplanarcyclicorganiccompound(P).
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YourAnswer:
QuestionRevision
CorrectAnswer: 2
Explanation:
2pairofelectrons(1eachforthespcarbonbonds)willremainlocalized.
Question18.
Amixture(X)ofisomericorganiccompoundhavingmolecularformulaC4H8,onreactionwithBr 2dissolvedinCCl4producesamixture
containingfiveisomericproductshavingmolecularformulaC4H8Br 2.Thenumberofisomericorganiccompoundsinthemixture(X)is
____________.
YourAnswer:
CorrectAnswer: 3
Explanation:
Question19.
Howmanystereocentresdoesthefollowingmoleculecontain?
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YourAnswer:
QuestionRevision
CorrectAnswer: 9
Explanation:
Question20.
Howmanymillimolesofgaseoussubstanceswouldbeformedduringelectrolysisofaqueous
usinginertelectrodeby
passingacurrentof10milliampwithcurrentefficiency50%for965min?(Assumenoreactionbetweenproductofelectrolysis,ifany).
YourAnswer:
CorrectAnswer: 6
Explanation:
Question21.
AtimevaryingforceF=2tisappliedonspoolasshowninfigureanditrollswithoutslidingasfrictionissufficient.Theangularmomentum
ofspoolattimetaboutbottomofspoolis:
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[A]
[B]
[C]
[D]
Insufficientdata
YourAnswer:
CorrectAnswer: C
Explanation:
Question22.
Thecurrentthrough
resistanceiszero.
ThevalueofEis:
[A]
[B]
[C]
[D]
24V
36V
42V
45V
YourAnswer:
CorrectAnswer: C
Explanation:
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and
areinparallel,socurrentin
isalsozero,theycanberemoved.Andthecurrentsareasshown:
Question23.
Att=0,astone(ofmassm)isreleasedfromthetopofabuildingofheighth.Attimet,kineticenergyoftheparticleis3timesthe
potentialenergyoftheparticlew.r.t.theground.Averagepowerdeliveredtotheparticlebetweent=0andt=tequals:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: A
Explanation:
Attimet,ithasfallthrough3/4thheightoftotalheighth
Averagepowerdelivered=
Averagepower=
Question24.
Aringofradius
hascharge
throughthecentreofasolidsphereofradius
uniformlydistributedonitscircumference.Theaxisoftheringpasses
whichhascharge
uniformlydistributedwithinitsvolume.Thedistance
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betweenthetwocentreoftheringandthesphereis
.ThereisaverythintunnelMNalongtheaxisoftheringthroughthe
centreofthesolidsphere.
Whatisthevalueof
sothatthereisanullpointatM.
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: B
Explanation:
Question25.
Aringofradius
hascharge
throughthecentreofasolidsphereofradius
betweenthetwocentreoftheringandthesphereis
uniformlydistributedonitscircumference.Theaxisoftheringpasses
whichhascharge
uniformlydistributedwithinitsvolume.Thedistance
.ThereisaverythintunnelMNalongtheaxisoftheringthroughthe
centreofthesolidsphere.
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Withwhatminimumvelocity
shouldaparticleofmass20gmandcharge
shouldbeprojectedfromthecentreofthe
ringalongitsaxissothatitmaybeabletoenterthetunnel.
[A]
[B]
[C]
[D]
6m/s
60m/s
300m/s
500m/s
YourAnswer:
CorrectAnswer: B
Explanation:
Question26.
TwochargesQ 1andQ 2placedat(0,0,0)and(a,0,0)aresuchthatxcomponentoffieldiszeroat(a/2,a,0).ycomponentoffieldwill
bezeroat:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: A,B,C
Explanation:
Thexcomponentcannotbezeroiftheboththechangesareofoppositesign.]
Fromthefigure,itfollows
asxcomponentofE1andE2equal.
atallpointsinthexzplane,theycomponentoffieldwillbezero
Question27.
AnunchargedcapacitorhavingcapacitanceCisconnectedacrossabatteryofemfV.Nowthecapacitorisdisconnectedandthen
reconnectedacrossthesamebatterybutwithreversedpolarity.Then:
[A]
afterreconnection,thermalenergyproducedinthecircuitwillbeequalto2CV2
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[B]
[C]
[D]
QuestionRevision
afterreconnection,thermalenergyproducedinthecircuitwillbeequaltotwothirdofthetotalenergysuppliedbythebattery
afterreconnection,noenergyissuppliedbythebattery
afterreconnection,energyproducedbythebatteryisconvertedintoheat
YourAnswer:
CorrectAnswer: A,B,D
Explanation:
Question28.
Whentheterminalsofacellofemf1.5Vareconnectedtoanammeterofresistance
followingstatementsarecorrect?
[A]
[B]
[C]
[D]
,theammeterreads0.30amp.Whichofthe
Thecellisnonideal
Ifa
resistorisalsoconnectedacrossterminalsofthecell,theammeterwillread0.50amp
Ifa
resistorisalsoconnectedacrosstheterminalofthecell,onethirdoftheelectricalpowergeneratedwilldissipateas
heatwithinthecell
Ifavoltmeterofresistance
isusedtomeasurepotentialdifferencebetweenterminalsofthecell,itwillread1.2V
YourAnswer:
CorrectAnswer: A,C,D
Explanation:
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Question29.
Theelectricpotentialinaregionalongthexaxisvarieswithxaccordingtotherelation
[A]
[B]
[C]
[D]
.Then:
potentialdifferencebetweenthepointsx=1andx=2is15V
forceexperiencedbyaonecoulombchargeat
willbe10N
theforceexperiencedbytheabovechargewillbetowards+xaxis
auniformelectricfieldexistsinthisregionalongthe+xaxis
YourAnswer:
CorrectAnswer: A,B,C
Explanation:
Question30.
EandVonetheelectricfieldandelectricpotentialatOifthelinearchargedensityofthesystemis
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[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: A,C
Explanation:
Question31.
Fiveidenticalconductingplatesarefixedparalleltoandequidistantfromother.Givend=distancebetweenanytwosuccessiveplates
andA=areaofeitherfaceofeachplate.
[A]
[B]
Totalchargeonplate3is4timesthetotalchargeonplate1
Totalchargeonplate2isnegative
[C]
Chargeontheuppersurfaceofplate5is
[D]
Chargeonthelowersurfaceofplate1iszero
YourAnswer:
CorrectAnswer: A,B,D
Explanation:
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Chargedrawnfromthebattery=
Totalchargeonplate1=Chargeath
Totalchargeonplate2=Chargesatfandg(sum)
Totalchargeonplate3=chargesatdande=
=4
timesthetotalchargeonplate1
Question32.
Threeidenticalspheresareinastraightlineonatableandonemovestowardstheothertwowhichareatrestandnotincontact,if
,then:
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[A]
[B]
[C]
[D]
QuestionRevision
therearetwoimpactsbetweenthem
therearethreeimpactsbetweenthem
theratiooftheirfinalvelocitiesis13:15:63
theratiooftheirfinalvelocitiesis13:15:36
YourAnswer:
CorrectAnswer: B,D
Explanation:
ThirdcollisionbetweenAandB:
AandBwillcollideagain
and
BandCwillnotcollideagain
Ratiooffinalvelocities=
=13:15:36
Question33.
Asphereofmass2.8kgisrollingwithoutslippingonaninclinedplaneofangle
[A]
theminimumcoefficientoffrictionrequiredis
[B]
[C]
thetranslationalkineticenergyisalwaysgreaterthanrotationalkineticenergy
thefrictionforceonthesphereis4.8N
[D]
theaccelerationofthesphereis
YourAnswer:
fromhorizontal.Choosethecorrectstatement(s).
CorrectAnswer: B,C,D
Explanation:
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Question34.
Intheadjacentfigure,auniformrodoflength
andmassmiskeptatrestinhorizontalpositiononanelevatededge.Thevalueofx
(considerthefigure)issuchthattherodwillhavemaximumangularacceleration
,assoonasitissetfree.
[A]
xisequalto
[B]
isequalto
[C]
isequalto
[D]
xisequalto
YourAnswer:
CorrectAnswer: A,C
Explanation:
Question35.
Acapacitorof
ischargedtoapotentialof100V.Now,thischargedcapacitorisconnectedtobatteryof100Vwithpositive
terminalofbatteryconnectedtonegativeplateofthecapacitor.
Forthegivensituation,markthecorrectstatement(s).
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[A]
Thechargeflownthrough100Vbatteryis
[B]
[C]
[D]
Thechargeflownthrough100Vbatteryis
Heatdissipatedinthecircuitis0.1J
Workdoneonthebatteryis0.1J
YourAnswer:
CorrectAnswer: B,C
Explanation:
Changesuppliedbybattery=
Heat=
Question36.
Theresistivityofrodoflengthlandofuniformcrosssectionvarieslinearlyfrom
potentialdifferenceofVvoltsismaintainedacrosstherod.Theelectricfieldatadistance
YourAnswer:
fromoneendAtotheotherendB.A
fromendAis
.Findn.
CorrectAnswer: 6
Explanation:
Question37.
Asmallsphereofmassm=0.5kgcarryingapositivecharge
isconnectedwithalight,flexibleandinextensiblestringof
lengthr=60cmandwhiledinaverticalcircle.Ifaverticallyupwardelectricfieldofstrength
existsinthespace,
calculateminimumvelocityofsphererequiredathighestpointsothatitmayjustcompletethecircle.
YourAnswer:
CorrectAnswer: 6
Explanation:
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Question38.
ABisahorizontaldiameterofaballmassm=0.4kgandradiusR=0.10m.Attimet=0,asharpimpulseisappliedatBatangleof
withthehorizontal,asshowninfig.,sothatballimmediatelystartstomovewithvelocity
.Findthevelocityofthe
ballwhenslidingceasesandpurerollingbegins.
YourAnswer:
CorrectAnswer: 0
Explanation:
At
horizontalandverticalcomponentofimpulseareequal(=Ilet)
Byhorizontalcomponentofimpulse,I=mV0
Angularimpulsebyverticalcomponent=
Let
......(i)
bevelocityofcentreandangularvelocityrespectivelywhenpurerollingbeginsaftertimet
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ballwillstoppermanently
Question39.
Adisc'A'ofmassMisplacedatrestonthesmoothinclinesurfaceofinclination
.AballBofmassmissuspendedverticallyfrom
thecentreofthediscAbyalightinextensiblestringoflength
asshowninthefigure.IftheaccelerationofthediscBimmediately
afterthesystemisreleasedfromrestis
Thevalueofkis:
YourAnswer:
CorrectAnswer: 1
Explanation:
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Question40.
Inthecircuitshowninfigure,findthevalueof
YourAnswer:
inVolt.
CorrectAnswer: 8
Explanation:
Question41.
If
(Cbeingtheconstantofintegration).Then:
[A]
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[B]
iscontinuousforall
[C]
[D]
YourAnswer:
CorrectAnswer: C
Explanation:
Question42.
If
[A]
[B]
[C]
[D]
,thenthevalueof
isequalto:
0
2207
1
YourAnswer:
CorrectAnswer: D
Explanation:
Question43.
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Solutionoftheequation
[A]
[B]
[C]
[D]
isequalto:
2
3
4
5
YourAnswer:
CorrectAnswer: A
Explanation:
Question44.
Thevaluesofaandbforwhichthefunction
iscontinuousfor
,are:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: B
Explanation:
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Question45.
If
and
bothare
differentiableatx=0,theng(x)isnondifferentiableatxisequalto:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: B
Explanation:
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Question46.
Consideravariableline'L'whichpassesthroughthepointofintersection'p'ofthelines
meetingthecoordinateaxesatpointsAandB:
[A]
and
thenthelocusofmiddlepointofthesegmentABhastheequation
thenthelocusofthefeetoftheperpendicularfromtheoriginonthevariableline'L'hastheequation
[B]
[C]
LocusofthecentroidofthevariabletriangleOABhastheequation(where'O'istheorigin)
[D]
LocusofthecentroidofthevariabletriangleOABhastheequation(where'O'istheorigin)
YourAnswer:
CorrectAnswer: A,B,C
Explanation:
Question47.
Letx,yberealvariablesatisfythe
Leta=max
andb=min
,then:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: A,C,D
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Explanation:
Question48.
LetA,B,C,D,lieonalinesuchthatAB=BC=CD=1.ThepointsAandCarealsojoinedbyasemicirclewithACasdiameterandPisa
variablepointonthissemicirclesuchthat
.LetRistheregionboundedbyareAP,thestraightlinePDandline
AD
[A]
ThemaximumpossibleareaofregionRis
[B]
If'L'istheperimeterofregion'R',thenLisequalto
[C]
ThemaximumpossibleareaofregionRis
[D]
If'L'istheperimeterofregion'R',thenLisequalto
YourAnswer:
CorrectAnswer: A,B
Explanation:
Question49.
If
[A]
[B]
[C]
[D]
then:
numberofsolutionsis7
numberofsolutionsis6
numberofintegralsolutionsis5
numberofintegralsolutionsis6
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YourAnswer:
QuestionRevision
CorrectAnswer: A,C
Explanation:
Question50.
Iff(x)andh(x)areoddfunctionandg(x)isevenfunction,thenwhichofthefollowingisoddfunction:
[A]
[B]
[C]
[D]
YourAnswer:
CorrectAnswer: B,C,D
Explanation:
Question51.
Iff:
satisfiescondition
,then:
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[A]
[B]
[C]
QuestionRevision
f(x)isontofunction
f(x)isoneonefunction
f(x)isanoddfunction
[D]
and
YourAnswer:
areidentical
CorrectAnswer: A,B,C,D
Explanation:
Question52.
Letf:
[A]
[B]
andlet
[C]
f(x)isoneonefunction
f(x)isoddfunction
g(x)iscontinuousis
[D]
f(x)iscontinuousforall
YourAnswer:
,then:
CorrectAnswer: B,C,D
Explanation:
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QuestionRevision
Question53.
If
,thenwhichofthefollowingis(are)false?
[A]
inthedomainoff(x)
[B]
[C]
f(x)isidenticalto
[D]
Numberofrootsofequation
YourAnswer:
islessthan2
CorrectAnswer: A,D
Explanation:
Notethatx=0isnotindomainof
CaseI:Ifx>0,let
Nowlet
CaseII:x<0
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as
&usingCaseI
So,
doesnotexist
Alsonotethat
isnotindomainof
identicalto
Question54.
Thefunctionf(x)=
[A]
[B]
[C]
[D]
dtissuchthat:
itisdefinedontheinterval[1,1]
itisanincreasingfunction
itisanoddfunction
thepoint(0,0)isthepointofinflection
YourAnswer:
CorrectAnswer: A,B,C,D
Explanation:
Now
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Again
whichvanishedatx=0andchangessign
isinflectionsincefiswelldefinedin
Question55.
Forthefunctionf(x)=ln(1lnx)whichofthefollowingdonotholdgood?
[A]
[B]
[C]
[D]
Increasingin(0,1)anddecreasingin(1,e)
Decreasingin(0,1)andincreasingin(1,e)
x=1isthecriticalnumberforf(x)
fhastwoasymptotes
YourAnswer:
CorrectAnswer: A,B,C
Explanation:
f(x)=ln(1lnx)
Domain(0,e)
f"(1)=0whichisapointofinflectiongraphisasshownyaxisandx=earetwoasymptotes
Question56.
Let
YourAnswer:
,thenkisequalto_________.
CorrectAnswer: 8
Explanation:
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QuestionRevision
Put
inaboveintegraltoget:
Question57.
Let
.Ifx 1andx 2aretworootsoftheequation
,(where[.]denotesgreatestintegerfunction,{.}denotesfractionalpartofx).Let
discontinuityoff(x),
representsnumberofpointsofnondifferentiability.
in
representsnumberofpointsof
and
then
is_________.
YourAnswer:
CorrectAnswer: 6
Explanation:
(Wehavemade
Question58.
If
andif
,thennis________.
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YourAnswer:
QuestionRevision
CorrectAnswer: 8
Explanation:
Question59.
If
YourAnswer:
,then3kisequalto____________.
CorrectAnswer: 4
Explanation:
NA
Question60.
Let
YourAnswer:
thenfindthenumberofpositiveintegralvaluesofxwhichsatisfies
CorrectAnswer: 2
Explanation:
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