vmc advance 2 paper 2

7/7/2015 QuestionRevision

http://www.vidyamandir.com/questionRevision.do?actionName=displayQuestionList&testIds=ff8080814b3aa9c2014b43cd5e121ffb&tName=2016%20JEE%20 1/22

Question1.100mLofasampleofhardwaterrequires25.1mLof forcompletereaction.

Thehardnessofwater(density1g/mL)basedon is:

[A] 200ppm[B] 251ppm[C] 261ppm[D] 288ppm

Question2.Anelectroniscontinuouslyacceleratedinvacuumtubebyapplyingpotentialdifference.IfthedeBroglie'swavelengthisdecreasedby10%,thenchangeinthekineticenergyofelectronisnearly:[A] Decreasedby11%[B] Increasedby23.4%[C] Increasedby10%[D] Increasedby11.1%

Question3.Inanequilibriumreaction,xmolesofthereactantAdecomposetogive1moleeachofCandD.IfthefractionofAdecomposedatequilibriumisindependentofinitialconcentration,thenthevalueofxwouldbe:[A] 1[B] 2[C] 3[D] 4

Question4.Onelitreofasaturatedsolutionof (Molecularweight100)isevaporatedtodrynessduetowhich7.0mgofresidueisleft.

Thesolubilityproductof is:

[A]

[B]

[C]

[D]

Question5.Whichifthefollowingisnottrueaboutexpansionofanidealgas?[A] Totalentropychangeinirreversibleisothermalexpansionisgreaterthaninreversibleisothermalexpansion[B] Thetotalentropychangeinreversibleadiabaticexpansioniszeroandsameasinreversibleisothermalexpansion[C] Inirreversibleadiabaticexpansion,theincreaseinentropyduetovolumechangeislessthanthedecreaseinentropyduetotemperaturechange[D] Themagnitudeofworkinvolvedinareversibleisothermalexpansionisgreaterthanthatinanirreversibleisothermalexpansionagainstaconstantpressure

Question6.Enoughsolid and areheatedinaclosedvesselat100oCandthefollowingequilibriaareestablished:



If forthefirstequilibriumat100oCis andthetotalpressureofthesystemis12atm,thenthe forsecond

equilibriumwouldbe:

[A]

[B]

[C]

[D]

Question7.Theentropychangeproducedinuniversewhen3.5kgwaterat77oCloose42Jheattothesurroundingsat27oCis:

[A]

[B]

[C]

[D]

Question8.Howmanymlof1MKOHand solutionsbemixedforatotalvolumeof100mltoproducethehighestrisein

temperature?ExpressyouranswerastheratioofvolumeofKOH:volumeof .

[A] 67:33[B] 33:67[C] 40:60[D] 50:50

Question9.Thestatementwhichrepresentsthecorrectorderofsolubilityofthecompoundsinwateris:

[A]

[B]

[C]

[D]

Question10.Considerthefollowingstatements:

I. isastrongerLewisacidthan

II.Thepartialdoublebondcharacterof bondin islostintheadduct

III.StrongerLewisacidcharacterof isduetothepresenceofhighlyelectronegativefluorineatoms

Whichofthestatementsgivenaboveis/arecorrect?[A] IIandIII[B] IIIonly[C] IandII[D] Ionly

Question11.



Bondlengthistheaveragedistancebetweenthenucleioftheatomsheldbyabond.Thisrepresentstheinternucleardistancecorrespondingtominimumpotentialenergyforthesystem.Thefactors,whichaffectthebondlengthare:

I.Multiplebondsareshorterthancorrespondingsinglebonds

II.Sometimessinglebonddistancesaresomewhatshorterthanthesumoftheirrespectivecovalentradiibecausebondsacquiresomepartialdoublebondcharacter.Thisgenerallyhappenswhenoneatomhasavacantorbitalandshorterduetohighioniccharacterinthecovalentbond.

Whichofthefollowingisnottrueaboutthe bondlengthamongthefollowingspecies?

I. II. III. IV.

[A] bondlengthisshortestin(II)[B] bondlengthin(I)isshorterthanthatin(III)[C] bondlengthin(III)isshorterthanthatin(I)[D] bondlengthin(IV)isintermediatebetween bondlengthin(I)and(II)

Question12.Bondlengthistheaveragedistancebetweenthenucleioftheatomsheldbyabond.Thisrepresentstheinternucleardistancecorrespondingtominimumpotentialenergyforthesystem.Thefactors,whichaffectthebondlengthare:

I.Multiplebondsareshorterthancorrespondingsinglebonds

II.Sometimessinglebonddistancesaresomewhatshorterthanthesumoftheirrespectivecovalentradiibecausebondsacquiresomepartialdoublebondcharacter.Thisgenerallyhappenswhenoneatomhasavacantorbitalandshorterduetohighioniccharacterinthecovalentbond.

Inwhichofthefollowingmolecule,centralatomFbondhaspartialdoublebondcharacter?

[A]

[B]

[C]

[D]

Question13.Whenasparinglysolublesaltisaddedtowater,adynamicequilibriumisestablishedwhentherateofdissolutionofthesaltequalstherateofprecipitationofsaltfromthesaturatedsolution.Sincethesolubilityofasaltvarieswithtemperature,thenumericalvalueof

forasaltchangeswithtemperature.Thenumericalvalueof canbedeterminedfromitsmolarsolubilityandviceversa.Factorssuchascommonion,complexformation,hydrolysisetc.affectthesolubilityofmostofthesalts.

Pure isaddedto solutionand0.025MKClsolutiontakenseparatelyandbothsuspensionsare

shakenwell.Whatistheratioofthe inthefirstsolutiontothe inthesecondsolution?(Given: ofAgClis

).

[A] 2.5[B] 2.0[C] 3.0[D] 1.5

Question14.Whenasparinglysolublesaltisaddedtowater,adynamicequilibriumisestablishedwhentherateofdissolutionofthesaltequalstherateofprecipitationofsaltfromthesaturatedsolution.Sincethesolubilityofasaltvarieswithtemperature,thenumericalvalueof



forasaltchangeswithtemperature.Thenumericalvalueof canbedeterminedfromitsmolarsolubilityandviceversa.Factorssuchascommonion,complexformation,hydrolysisetc.affectthesolubilityofmostofthesalts.

Asolutioncontains ion,towhichsolid isgraduallyadded.Assumingthe

additionof doesnotchangethevolume,thecorrectstatementregardingthegivensolutionis(Given: of ,

AgBrandAgIare respectively)

[A] AgIwillbeprecipitatedfirst,followedbyAgBrandthenAgCl[B] AgClwillbeprecipitatedfirst,followedbyAgBrandthenAgI[C] AgIandAgClwillsimultaneouslygetprecipitatefollowedbyAgBr[D] AgClandAgBrwillsimultaneouslygetprecipitatefollowedbyAgI

Question15.

Asampleconsistingof1molofamonoatomicperfectgas istakenthroughthecycleasshown.

Temperatureatpoints(1),(2)and(3)arerespectively:

[A]

[B]

[C]

[D]

Question16.

Asampleconsistingof1molofamonoatomicperfectgas istakenthroughthecycleasshown.

fortheprocess is:

[A]

[B]



[C]

[D] Zero

Question17.MATCHTHEFOLLOWINGLISTS:

[A]

[B][C][D]

Question18.

[A]

[B][C][D]




[A]

[B][C][D]


[A]

[B]

[C]

[D]

Question21.Aparticle(P)isprojectedatanangleof fromhorizontalwithavelocity fromthebottomofaninclinedplane,haveangleofinclination .Atthesameinstant,anotherparticleQisreleasedfromaheighthonsmoothinclineplane.Ifaftersometime



bothparticlescollide,thenthevalueofhis:

[A] 3m[B] 4.5m[C] 5.5m[D] 3.5m

Question22.Asemicircularwireofmassmishingedatitstoponaverticalwall.Whatisthehorizontalforceexertedbywallonthelowerend?

[A]

[B]

[C]

[D]

Question23.AnannularringwithinnerandouterradiiR1andR2isrollingwithoutslippingwithauniformangularspeed.Theratiooftheforces

experiencedbythetwoparticlesofsamemasssituatedontheinnerandouterpartsofthering, is:

[A]

[B]

[C] 1

[D]

Question24.Inthefigureshown,thepistonsinterconnectedbyaninextensiblethreadcanslidewithoutfriction.Theendsofthecylinderareopentotheatmosphere.Thegasenclosedwithinthepistonsisbeingheatedataconstantratesothatthepistonsaremovingwithaconstantspeed.Then,whichofthefollowingisnottrue:



[A] Thepistonsshifttotheleft[B] Workdonebygas>0[C] Threadtensionis>0[D] Threadtensioniszero

Question25.

FindthedistanceofCMoftheuniformrodoflength ifitisbentintocirculararcofradiusRfromthecentreCasshown.

[A]

[B]

[C]

[D] R

Question26.IfblockAismovingwithanaccelerationof5m/s2,theaccelerationofBw.r.t.groundis:

[A] 5m/s2

[B]

[C]

[D] 10m/s2

Question27.A5.0kgblockwithaspeedof8.0m/stravels2.0malongahorizontalsurfacewhereitmakesaheadon,perfectlyelasticcollisionwitha15.0kgblockwhichisatrest.Thecoefficientofkineticfrictionbetweenbothblockandthesurfaceis0.35.Howfardoesthe15.0kgblocktravelbeforecomingtorest?

[A]



[B]

[C]

[D]

Question28.Thefigurebelowshowsasmallmassconnectedtoastring,whichisattachedtoaverticalpost.Ifthemassisreleasedwhenthestringishorizontalasshown,themagnitudeofthetotalaccelerationofthemassasafunctionoftheangle is:

[A]

[B]

[C]

[D]

Question29.

Asystemreceiveheatfromaheatercontinuouslyattherateof10W.thetemperatureofthesystembecomesconstantat

whenthetemperatureofthesurroundingis .Aftertheheaterisswitchedoff,thesystemcools in1

minute.Theheatcapacityofthesystemisnearly:

[A]

[B]

[C]

[D]

Question30.Acylindricalvesselcontainsaliquidofdensity uptoheighth.TheliquidisclosedbyapistonofmassmandareaofcrosssectionA.Thereisasmallholeatthebottomofthevessel.Thespeedvwithwhichtheliquidcomesoutoftheholeis:

[A]



[B]

[C]

[D]

Question31.Atankofsize fullofnonviscousfluidofdensity .Asmallmetalcubicalblockofvolumeb3andofdensity

isattachedthroughuppersurfaceoftankandfromrightsidewallofthetankbymeansofstringOP&RQasshowninfigure.Nowtankhasgivenanaccelerationinrightwarddirectionofmagnitude1m/s2(Takeg=10m/s2)

Ifaccelerationisgivenatt=0.TheworkdonebytensioninstringRQontheblockbetweentimeintervalt=0to2s.[A] Zero[B]

[C]

[D]

Question32.Atankofsize fullofnonviscousfluidofdensity .Asmallmetalcubicalblockofvolumeb3andofdensity

isattachedthroughuppersurfaceoftankandfromrightsidewallofthetankbymeansofstringOP&RQasshowninfigure.Nowtankhasgivenanaccelerationinrightwarddirectionofmagnitude1m/s2(Takeg=10m/s2)

Aspressureisdifferentatdifferentpoints.LetPmaxismaximumpressureandPminisminimumpressureinthetank.Thenisequalto:

[A]

[B]

[C]

[D]



Question33.ConsideracylinderofmassM=1kgandradiusR=1mlyingonaroughhorizontalplane.Ithasaplankofmassm=1kglyingonitstopasshowninthefigure.AforceF=22NonPlankcausesthecylindertoroll.Theplankalwaysremainshorizontal.Thereisnoslippingatanypointofcontact.

Calculatetheaccelerationofcylinder

[A] 20m/s2[B] 4m/s2[C] 5m/s2[D] Noneofthese

Question34.ConsideracylinderofmassM=1kgandradiusR=1mlyingonaroughhorizontalplane.Ithasaplankofmassm=1kglyingonitstopasshowninthefigure.AforceF=22NonPlankcausesthecylindertoroll.Theplankalwaysremainshorizontal.Thereisnoslippingatanypointofcontact.

FindthevalueoffrictionalforceatA[A] 7.5N[B] 5.0N[C] 3N[D] Noneofthese

Question35.TherodofmassmisconstrainedtomovealongtherigidguidesandalwaysincontactwiththewedgeofmassMasshowninfigure.Assumethatthereisnofrictionanywhere.

Findtheaccelerationofthewedge

[A]



[B]

[C]

[D] Noneofthese

Question36.TherodofmassmisconstrainedtomovealongtherigidguidesandalwaysincontactwiththewedgeofmassMasshowninfigure.Assumethatthereisnofrictionanywhere.

Findthenormalreactionbetweentherodandthewedge:

[A]

[B]

[C]

[D] Noneofthese

Question37.



[A]PQRS

3213[B] 3244[C] 4213[D] 4233

Question38.Abodyinitially,movingtowardsrightexplodesintotwopieces1and2.DirectionofmotionofthepiecesisshowninList1andpossiblemassratioareshowninList2.



[A]PQRS

3321[B] 4411[C] 4413[D] 3322

Question39.OnemoleofamonoatomicidealgasiskeptinacontainerofvolumeV0atpressureP0andtemperatureT0.TheconductingwallhassurfaceareaA,thicknessdandthermalconductivityK.AssumethatsurroundingBataconstanttemperature3T0.Tistemperatureof

gasatanyinstant.[Given ].

MATCHTHEFOLLOWINGLISTS:



[A]PQRS

1,21,243[B] 1,21,234[C] 12,334[D] 214,23

Question40.

Codes:

[A]PQRS

3342,4[B] 4322[C] 322,41[D] 331,42

Question41.Thevertexofrightangleofarightangledtriangleliesonthestraightline andthetwoothervertices,atpoints

and thentheareaoftriangleinsq.unitsis:

[A][B] 3[C] 33/5[D] 11

Question42.



,thenxmustlieintheinterval:

[A]

[B]

[C]

[D] Noneofthese

Question43.ConsiderthewordW="COMMISSIONER".Thenumberof5letteredwordscontainingtwovowelsandthreeconsonants.[A] 6720[B] 6520[C] 6820[D] Noneofthese

Question44.Themostgeneralsolutionfortheequation

isx=

[A]

[B]

[C]

[D] Noneofthese

Question45.If and10H.M.'s areinsertedbetweenthe

numbers2and3.Then ,isequalto:

[A] 25

[B]

[C] 625[D] 525

Question46.

Ifthereexistspreciselyone'x'between1and2,whichsatisfiestheequation ,then shouldliein

theinterval:

[A]



[B]

[C]

[D]

Question47.Letf(x)=x2+2ax+b,g(x)=cx2+2dx+1bequadraticexpressionswhosegraphisasshowninthefigure.Hereitisgiventhat

.

Whichofthefollowingstatementsiscorrect?

[A] a2+d=d2+c[B] a+d=b+c[C] a2+d2=c+b[D] bc+c=a2c+d2

Question48.

Thesumoftheseries is:

[A]

[B]

[C]

[D]

Question49.

If

and then:



[A][B][C][D]

Question50.

Consider .

Sumofinfinitetermsofaboveserieswillbe:[A] 0[B] 1/2[C] 2[D] Noneofthese

Question51.

Consider .

ThevalueofS16mustbe:

[A]

[B]

[C]

[D] Noneofthese

Question52.

Let haverealroots haverealroots

Theareaofthequadrilateralformedbypoints takeninorderis:

[A]

[B]

[C]

[D]

Question53.




Thecentreofthecirclepassingthroughthepointsofintersectionofpairsoflines and is:

[A]

[B]

[C]

[D]

Question54.


Equationofthedirectorcircleofthecircle is:

[A]

[B] f(x)+g(y)=q2+s2

[C]

[D]

Question55.

Let arethreedistinctrootsof and .

isequalto:

[A][B] 0[C] 1[D] 5

Question56.

Let arethreedistinctrootsof and .

isequalto:



[A] 390[B] 400[C] 420[D] 421

Question57.

[A]PQRS

2431[B] 2143[C] 2134[D] 1243

Question58.



[A]PQRS

4132[B] 1433[C] 4123[D] 4213

Question59.

ConsidertwocirclesC1ofradius'a'andC2ofradius'b'(b>a)bothlyinginfirstquadrantandtouchingthecoordinateaxesthen is

givenas:

[A]PQRS

3412[B] 4213[C] 4312[D] 4321




If aretherootsoftheequation then:

[A]PQRS

3243[B] 2432[C] 4213[D] 1342

vmc advance 2 paper 2

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