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Question1.
[A] II
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Question7.'x'gmofahydrocarbonC2H4isburnedinexcessofO2toproduceCO2andH2Oaccordingtofollowingreaction:
Thegasproducediscompletelyreactedwith2L,2MNaOHsolution.Thevalueof'x'is:[A] 7[B] 14[C] 28[D] 56
Question8.Therearetwoisotopesofanelementwithaverageatomicmassz.Theheavieronehasatomicmass'z+1'andlighteronehas'z2',thenabundanceoflighteroneis:[A] 66.6%[B] 96.7%[C] 6.67%[D] 33.3%
Question9.AccordingtothementionedreactionswithyieldshowmuchCaC2isrequiredtoobtain2molofCO2?
[A] 2mol[B] 4mol[C] 8mol[D] Noneofthese
Question10.10Lof0.1MH2O2solutionismixedwith10LKMnO4(0.02M).VolumestrengthofresultingH2O2solutionis:
[A] 0.28vol[B] 0.56vol[C] 1.12vol[D] 2.24vol
Question11.Sodiumhypochlorite(NaOCl)isagoodoxidizingagentinalkalinemedium.Whatvolumeofa0.15MalkalinesolutionofNaOClwouldberequiredtooxidizecompletelya20mL0.2MNaCrO2solutionaccordingtothereaction:
[A] 80ml[B] 40mL[C] 20mL[D] 10mL
Question12.Simplestempiricalformulaofacompoundcontaining60%ofelementA(atomicmass10)and40%ofelementB(atomicmass20)is:
[A]
[B]
[C]
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[D] Noneofthese
Question13.Whatvolumeofhydrogen(inlitres)willbeliberatedatNTPbyreactionofZnwith20mlofdiluteH2SO4solutionofspecificgravityof2.45andcontaining40%ofH2SO4byweight?
[A] 4.48[B] 44.8[C] 8.96[D] 2.24
Question14.Whichofthefollowingrepresentredoxreactions?
I.
II.
III.
IV.
Thecorrectoptionis:[A] I,II[B] I,III[C] III,IV[D] II,III,IV
Question15.100mLof0.1MBaCl2solutionismixedwith100mLof0.3MNa2CO3solution.Afterfilteringofftheprecipitate,theresidualsolutionistitratedagainst0.5MHCl.Thevolumeofacidconsumedattheendpointis:[A] 40mL[B] 80mL[C] 160mL[D] Noneofthese
Question16.AbottleofH2O2islabeledas"15vol"H2O2.112mLofthissolutionofH2O2istitratedagainst0.05MacidifiedsolutionofKMnO4.ThevolumeofKMnO4requiredis:
[A] 0.6L[B] 1.2L[C] 2.4L[D] 12.0L
Question17.200mLof0.2MH3PO4wastitratedwith0.1MCa(OH)2solution.Thetitrationwasdiscontinuedafteradding100mLofCa(OH)2solution.TheremainingtitrationwascompletedbyaddingM/6Al(OH)3solution.ThevolumeofAl(OH)3requiredformcompetingthetitrationis:[A] 200mL[B] 300mL[C] 120mL[D] 60mL
Question18.
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'p'molesofasalt, isdissolvedinwatertopreparea200mLofansolution.Itrequired500mLofa solutionof
inpresenceofexcessof .Thevalueof'p'is:
[A] 0.5[B] 0.25[C] 0.33[D] Noneofthese
Question19.Onemolofpotassiumchlorate(KClO3)isthermallydecomposedandexcessofaluminiumisburntinthegaseousproduct.Howmanymolofaluminiumoxideareformed?[A] 1mol[B] 1.5mol[C] 2mol[D] 3mol
Question20.Whichofthefollowingcompoundcanactasoxidizingaswellasreducingagent?
I.H2O2II.I2III.F2IV.HNO3
Thecorrectchoiceis:[A] I,II,III[B] I,II[C] I,II,III,IV[D] Ionly
Question21.ExcessofKIreactswithCuSO4solutionandthenNa2S2O3solutionisaddedtoit.
I.Na2S2O3isoxidisedII.CuI2isformed
III.Cu2I2isformedIV.EvolvedI2reduced
Thecorrectchoiceis:[A] I,II[B] II,III[C] I,III,IV[D] I,II,III
Question22.500mlof0.4MH2SO4and1500mlof0.2MNaOHaremixed.Theconcentrationoftheionsinfinalsolution
[A]
[B]
[C]
[D]
Question23.Considerthefollowingtwocases:
Case1:V1mlofNaClsolution(havingconcentrationsM1,N1andS1)isdilutedbyadditionofsomewatertomakeaV2mlNaClsolution(havingconcentrationsM2,N2andS2)
Case2:V3mlofNaOHsolution(havingconcentrationsM3,N3andS3)istitratedwithV4mlofH2SO4solution(havingconcentrationsM4,N4andS4)forcompleteneutralisation.
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(whereMisMolarity,NisNormality,SisStrengthandVisvolumeofsolution)
Whichofthefollowingstatementsarecorrect:
Thecorrectchoiceis:[A] I,II[B] III,IV[C] I,IV[D] II,III
Question24.100mlof0.1MNaAl(OH)2CO3solutioniscompletelyneutralisedbyastandardsolutionofM/8H2SO4.ThevolumeofH2SO4requiredis:[A] 80mL[B] 320mL[C] 100mL[D] 160mL
Question25.Asolutioncontaining200mLof0.5MBaCl2and400mLof0.5MH2SO4isdilutedto1000mL.Thevolumeof0.1MBa(OH)2requiredtoneutralise100mLofabove(diluted)solutionis:[A] 200mL[B] 2000mL[C] 1000mL[D] 100mL
Question26.Theresultantoftwovectors and isperpendiculartothevector anditsmagnitudeisequaltohalfofthemagnitudeof
vector .
Theanglebetween and is:
[A] 120o[B] 150o[C] 135o[D] Noneofthese
Question27.
Whatistheanglebetween ,if aretheadjacentsidesofaparallelogramdrawnfromacommonpointandtheareaoftheparallelogramisAB/2?
[A] 150[B] 300[C] 450[D] 600
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Question28.
If and ,thevectorhavingthesamemagnitudeasthatof andparallelto is:
[A]
[B]
[C]
[D]
Question29.
Twovectors areatanangleof600witheachother.Theirresultantmakesanangleof450with .If units,
then is:
[A]
[B]
[C]
[D]
Question30.Ahorizontalforceof25Nisnecessarytojustholdablockstationaryagainstawall.Thecoefficientoffrictionbetweentheblockandwallis0.4.Theweightofblockis:
[A] 2.5N[B] 20N[C] 10N[D] 5N
Question31.
Theresultant of and isperpendicularto .Also, .Theanglebetween is
[A] rad
[B] rad
[C] rad
[D] rad
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Question32.Amancanrowaboat4km/hrinstillwater.Ifheiscrossingariverwherethecurrentis2km/hr,thenanswerthefollowings
Inwhatdirectionshouldhisboatbeheadedifhewantstoreachapointontheotherbank,directlyoppositetostartingpoint?
[A] 120ofromdirectionofdownstream[B] 120ofromdirectionofupstream[C] 60ofromdirectionofdownstream[D] Perpendiculartotheflowofriver
Question33.Amancanrowaboat4km/hrinstillwater.Ifheiscrossingariverwherethecurrentis2km/hr,thenanswerthefollowings
Ifwidthoftheriveris4kmhowlongwillittakehimtocrosstheriver,withtheconditioninabovequestion?
[A] hr
[B] hr
[C] hr
[D] hr
Question34.Amancanrowaboat4km/hrinstillwater.Ifheiscrossingariverwherethecurrentis2km/hr,thenanswerthefollowings
Inwhatdirectionshouldheheadtheboatifhewantstocrossriverinshortesttime?
[A] 120ofromdirectionofdownstream[B] 120ofromdirectionofupstream[C] 60ofromdirectionofdownstream[D] Perpendiculartotheflowofriver
Question35.Acarismovingtowardssouthwithaspeedof20m/s.Amotorcyclistismovingtowardseastwithaspeedof15m/s.Atacertaininstant,themotorcyclistisduesouthofthecarandisatadistanceof50mfromthecar.
Theshortestdistancebetweenthemotorcyclistandthecaris:[A] 10m[B] 20m[C] 30m[D] 40m
Question36.Acarismovingtowardssouthwithaspeedof20m/s.Amotorcyclistismovingtowardseastwithaspeedof15m/s.Atacertaininstant,themotorcyclistisduesouthofthecarandisatadistanceof50mfromthecar.
Thetimeafterwhichtheyareclosesttoeachother:[A] 1/3s[B] 8/3s[C] 1/5s
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[D] 8/5s
Question37.Abodycoversonethirdofthedistancewithavelocity ,thesecondonethirdofthedistancewithavelocity andtheremaining
distancewithavelocity inthesamedirection.Theaveragevelocityis:
[A]
[B]
[C]
[D]
Question38.Infigure,thepulley isfixedandthepulley ismovable.If whatistheangle ?Thepulleysarefrictionless
[A] 300[B] 600[C] 900[D] 1200
Question39.Thepositionxofaparticlevarieswithtime(t)as Theaccelerationattimetoftheparticlewillbeequaltozero,wheretisequalto
[A]
[B]
[C]
[D] zero
Question40.Ifxdenotesdisplacementintimetand thentheaccelerationis:
[A][B][C][D]
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Question41.Thevelocitytimerelationofanelectronstartingfromrestisgivenby where m/s2.Thedistancetraversedinfirst3sis:[A] 9m[B] 16m[C] 27m[D] 36m
Question42.Aballisdroppedintoawellinwhichthewaterlevelisatadepthhbelowthetop.Ifthespeedofsoundbec,thenthetimeafterwhichthesplashisheardafterdroppingtheballwillbegivenby:
[A]
[B]
[C]
[D]
Question43.Thevelocitytimegraphofabodyisshowninfigure.TheratioofaverageaccelerationduringtheintervalsOAandABis
[A] 1[B] 1/2[C] 1/3[D] 3
Question44.Fromthevtgraph,the:
[A] Speedatt=1sis1.2m/s[B] Accelerationis2m/s2
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[C] Averagespeedduring1stsecondis1.5m/s[D] Speedoftheparticlecanbezero
Question45.Theaccelerationtimegraphofaparticlemovingalongastraightlineisasshowninfigure.Atwhattimetheparticleacquiresitsinitialvelocity?
[A] 12s[B] 5s[C] 8s[D] 16s
Question46.
Ifvector representthetwosidesofatriangle,thenthethirdsideofthetrianglecanhavelengthequalto:[A] 6[B][C] Bothoftheabove[D] Noneoftheabove
Question47.TwoparticlesAandB,eachofmassm,arekeptstationarybyapplyingahorizontalforceF=mgonparticleBasshowninfigure,then:
[A]
[B]
[C][D] Noneofthese
Question48.Aparachutistdropsfirstfreelyfromanaeroplanefor10sandthenparachuteopensout.Nowhedescendswithanetretardationof2.5m/s2.Ifhebailsoutoftheplaneataheightof2495mandg=10m/s2,hisvelocityonreachingthegroundwillbe[A] 5m/s[B] 10m/s[C] 15m/s[D] 20m/s
Question49.Twoballsaredroppedfromthetopofahightowerwithatimeintervalof second,where issmallerthanthetimetakenbythefirstballtoreachthefloor.Thedistancesbetweenthetwoballs,plottedagainstthetimelapsetfromtheinstantofdroppingthesecondballisbestrepresentedby(Neglectmotionofballsaftercollisionwithfloor)
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[A]
[B]
[C]
[D]
Question50.Accelerationvelocitygraphofaparticlemovinginastraightlinesasshowninfigure.Then,theslopeofvelocitydisplacementgraph:
[A] increaselinearly[B] decreaseslinearly[C] isconstant[D] increasesparabolically
Question51.
Thenumberofrootsoftheequation is:
[A] 1[B] 2[C] 3[D] 4
Question52.
Ifpandqarerootsoftheequation ,thenthevalueof is:
[A]
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[B]
[C]
[D] Noneofthese
Question53.
Iftheratiooftherootsof isthesameastheratiooftherootsof ,then:
[A]
[B]
[C]
[D] Noneofthese
Question54.
Let betherootsoftheequation and betherootsoftheequation .Then
thevalueofris:
[A]
[B]
[C]
[D]
Question55.
Thevaluesofkforwhichtheequation hasrootsofoppositesignslieintheinterval:
[A]
[B][C] (1,2)
[D]
Question56.
If ,then:
[A]
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[B]
[C]
[D]
Question57.
Sumofallpossibleintegralvaluesofaforwhich is:
[A] 4[B] 5[C] 6[D] 7
Question58.
Statement1:Thevalueof'a'forwhichtheequation hasnorealrootsif
Statement2:Thevaluesof'a'forwhich hasonerootsmallerthan3andotherrootgreaterthan3are
suchthat .
Statement3:
Statement4:
[A] FTFT[B] FTTF[C] TFTF[D] TFFT
Question59.
Iftheequations and havearootincommonthentherationalvaluesof and
are:
[A]
[B]
[C]
[D]
Question60.
and and thentheleastvalueofais:
[A]
[B]
[C]
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[D]
Question61.
Forwhichofthefollowinggraphsofthequadraticexpression ,theproductabcisnegative?
[A]
[B]
[C]
[D]
Question62.
Thenumberofvaluesofaforwhich isanidentityinxis:
[A] 0[B] 2[C] 1[D] 3
Question63.
If isafactorof thentheotherfactoris:
[A][B][C][D] Noneofthese
Question64.
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If hasdistinctrealrootsin(1,2)thenaand have:
[A] Samesign[B] Oppositesigns[C] Signsthatcannotbedetermined[D] Noneofthese
Question65.Theminimumvalueofthefunction
wheneveritisdefinedis:
[A] 4[B][C] 0[D] 2
Question66.
Thevalueof is:
[A] 28[B] 32[C] 35[D] Noneofthese
Question67.
Minimumvalueof is:
[A] 0[B] 2[C] 7[D] 9
Question68.
Ifb>a,thentheequation has:
[A] Bothrootsin[a,b][B] Bothrootsin
[C] Bothrootsin
[D] Onerootin andotherin
Question69.
Thevaluesofmforwhichbothrootsoftheequation aregreaterthan butlessthan4,lieintheinterval:
[A][B][C][D]
Question70.
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Iftherootsoftheequation benonreal,thenforallrealvaluesofx,theexpression is:
[A] Lessthan4ab[B] Greaterthan[C] Lessthan[D] Greaterthan4ab
Question71.
If ,thentherangeoff(x)is:
[A]
[B]
[C]
[D]
Question72.
Theminimumvalueoftheexpression for is:
[A] 12[B] 6[C] 18[D] 9
Question73.
If cannotliebetween:(wherea>0and )
[A]
[B]
[C]
[D]
Question74.If and ,then:
[A]
[B]
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[C]
[D]
Question75.
Leta,b,cbereal,ifax2+bx+c=0hastworealroots ,where and then .
[A] 0[C] (0,1)[D] Noneofthese