时间和空间智慧树知到答案2024年中国科学技术大学

时间和空间中国科学技术大学智慧树知到答案2024年绪论单元测试

WhichofthefollowingtopicsisNOTcoveredinthiscourse?（

）。

A:ThecompositionandevolutionofouruniverseB:ThegeometryofgeneralrelativityC:ThethermodynamicsofblackholeD:Thespacetimeviewofspecialrelativity

答案:C

第一章测试

Whichistheweakestinthefourfundamentalinteractions?（）。

A:GravitationB:WeakinteractionC:StronginteractionD:Electromagnetism

答案:AWhichinteractiondoesphotonmediate?（）。

A:ElectromagnetismB:StronginteractionC:GravitationD:Weakinteraction

答案:AWhichisthecorrectformofNewton’sinversesquaregravitylaw?（）。

A:B:C:D:

答案:CGravityisuniversalbecausetherearenonegativegravitationalcharge.（）

A:对B:错

答案:BWhichofthefourfundamentalinteractionsarelongdistanceforce?（）。

A:ElectromagnetismB:GravitationC:StronginteractionD:Weakinteraction

答案:ABWhichisthecorrectformoftheimportantratiointhissection?（）。

A:B:C:D:

答案:DWhichofthefollowinghasthestrongestgravitationalenvironment?（）。

A:HumanB:MilkyWayC:StrandofDNAD:Hydrogenatom

答案:COuruniverseisastronggravitysystem.（）

A:对B:错

答案:AWhichofthefollowingstatementaboutblackholesiscorrect?（）。

A:Blackholesarestronggravitysystem.B:Kerrblackholeisnotrotating.C:Theireventhorizonis.D:Newtongravityisgoodenoughtodescribeblackhole.

答案:CWhichofthefollowingstatementaboutgravitationalwavesiscorrect?（）。

A:GW150914isthefirstgravitationalwavesignalhumanobserved.B:PenrosewasawardedtheNobelprizeforthedetectionofgravitationalwaves.C:Gravitationalwavescanpropagatewiththespeedoflight.D:asystemconsistingoftwoblackholes(orBH-star)incloseorbitaroundeachothercangenerategravitationalwaves

答案:ACD

第二章测试

Inagravitationalfield,allbodieswiththesameinitialconditionsfollowthesamecurveinspaceandtime.（）

A:对B:错

答案:AWhichisthecorrectformofsumofinterioranglesforatriangleonasphere?（）。

A:B:C:D:

答案:AWhichisrangeofsumofinterioranglesforatriangleonasphere?（）。

A:B:C:D:

答案:DWhichiscorrectformoftheratioofthecircumferencetotheradiusofacircleonasphere?（）。

A:B:C:D:

答案:CForsomegeometry,thesumoftheinteriorangleofatrianglecanbesmallerthan180degree.（）

A:对B:错

答案:AThelineelementforageometrymustbepositivedefinite.（）

A:错B:对

答案:BWhichiscorrectformofthelineelementforpolarcoordiantesintheEuclideangeometryofaplane?（）。

A:B:C:D:

答案:DWhatisthedistancebetweentwopointandonasphereofradiusa?(assuming)（）。

A:B:C:D:

答案:BThegeometrywiththelineelementisaxisymmetricaboutaaxis.（）

A:错B:对

答案:BWhatisthecircumferenceofacircleofconstantonageometrywiththelineelement（）。

A:B:C:D:

答案:A

第三章测试

Ifthemotionofagivenparticlesatistiesinsomereferenceframe,thenthisframeiscalledainertialframe.（）

A:错B:对

答案:AIfreferenceframe(x,y,z)isainertialframeinNewtoniangravity,thenwhichofthefollowingtransformationsalsogiveineritalframe（）。

A:B:C:D:

答案:ABCWhichofthefollowingtransformationdoesnotbelongtoGalileantransformation?（）。

A:B:C:D:

答案:CWhichisthecorrectformofgravitationalpotentialforpointmassM?（）。

A:B:C:D:

答案:DWhatisthestrengthofgravitationalinteractionbetweentwospheresR1ofmassm1,m2andR1,R2,seperatedbyr?（）。

A:B:C:D:

答案:AWhichofthefollowingstatementabouttherelationshipbetweengravitationalforceandgravitationalpotentialiscorrect?（）。

A:Gravitationalforcepointsatthedirectinwhichgravitationalpotentialincrease.B:Gravitationalforcepointsatthedirectinwhichgraviattionalpotentialdecrease.C:Largegradientofgravitationalpotentialmeanslargegravitationalforce.D:Largegravitationalpotentialmeanslargegravitationalforce.

答案:BCThemassappearinginwhichofthefollowingexpressionisgravitationalmass?（）。

A:B:C:D:

答案:DInNewtoniangravity,wehavetheassumptionthatgravitationalmassandinertialmassareequaltoeachother.（）

A:错B:对

答案:BForaparticleofmassm,movinginapotentialV(x),what'sthecorrectformofitsLagrangian?（）。

A:B:C:D:

答案:CWhatistheequationofmotionfortheLagrangian?（）。

A:B:C:D:

答案:A

第四章测试

TheMaxwellequationstakethesameformineveryinertialframeofNewtonianmechanics.（）

A:对B:错

答案:BWhichofthefollowingstatementabouttheMichelson-Morleyexperimentarecorrect?（）。

A:AccordingtoNewtonianmechanics,Maxwell'sequationscanbevalidonlyinoneinertialframebecausetheypredictonevelocityforlight.B:Accordingtotheexperimentresult,eitherNewtonianmechanicsorMaxwell'sequationshadtobemodified.C:Thisexperimentverifiestheexistenceofthe"ether".D:Inthisexperiment,peoplecomparethevelocityoflightondifferentpointsontheEarth'sorbit.

答案:ABDWhichofthefollowingstatementaboutthefollowingspacetimediagramarecorrect?（）。

A:ParticleBmovesfasteratpointIthanpointII.B:ParticleBismovingwithaconstantvelocity.C:ParticleAandparticleBaregettingclosertoeachother.D:ParticleAisstationary.

答案:ACWhichofthefollowingstatementaboutthefollowinglightclockexperimentarecorrect?（）。

A:Intheleftpanel,theperiodofpulseis.B:Intheleftpanel,theperiodofpulseis.C:Intherightpanel,theperiodofpulseis.D:Intherightpanel,theperiodofpulsesatisfies.

答案:BDWhichofthefollowinglineelementcanNOTdescribeMinkowskigeometry?（）。

A:.B:.C:.D:.

答案:BWhichsetofpoints(ct,x,y,z)aretimelikeseparated?（）。

A:A(0,0,1,0)andB(2,1,0,0).B:A(0,1,0,0)andB(0,0,1,0).C:A(1,0,0,0)andB(1,1,0,0).D:A(0,0,0,0)andB(1,1,0,0).

答案:ATwotwins,AliceandBob,startfromrestatonepointinspaceattimet1inaninertialframe.Alicemovesawayfromthestartingpointbutlaterreturnstorestatthesamepointattimet2.Bobremainsatrestatthestartingpoint.Whichofthefollowingstatementiscorrect?（）。

A:AliceageslessthanBob.B:AliceandBobagetothesameextent.C:ThesituationdependsonhowAlicemoves.D:BobageslessthanAlice.

答案:AAccordingthespacetimediagramoftwoframesO(x,ct)andO'(x',ct'),whichofthefollowingstatementarecorrect?（）。

A:EventAandeventBhappenspontaneouslyinframeB:EventAhappensearlierthaneventBinframeO'.C:EventAhappenslaterthaneventBinframeO'.D:EventAandeventBhappenspontaneouslyinframe

答案:CDReferenceBmovesawayfromreferenceAatthespeedof0.6c.InreferenceframeA,arulerisstatic,anditslengthis1m.WhatisthelengthofthisrulermeasuedinreferenceB?（）。

A:0.64m.B:1.5625m.C:0.8m.D:1.25m.

答案:CAflashlightisstaticonatrainmovingat0.8c.Whatisthespeedoflightmeasuredbypeoplestandingonthegroundbesidethistrain?（）。

A:Itdependsonthedirectoftheflashlight.B:0.8c.C:c.D:1.8c.

答案:C

第五章测试

Assuminga=(2,1,3,0),b=(1,2,1,4),whatistheresultfora*b?(Herewehaveη=diag(-1,1,1,1))（）。

A:3.B:1.C:0.D:2.

答案:AWhichofthefollowingisNOTafourvector?（）。

A:.B:.C:.D:.

答案:BAssuming,whatisthecorrespondingfourvelocity?(Hereweassumec=1)（）。

A:.B:.C:.D:.

答案:DForaone-dimensionalmovingparticlesatisfying

,

whatisitsfourvelocity?（）。

A:.B:.C:.D:.

答案:CForaone-dimensionalmovingparticlesatisfying

,

supposingitsmassism,whatisitsfourforce?（）。

A:.B:.C:.D:.

答案:DAparticleofmassmhitanotherparticleofmass2matspeedv.Ifthecollisioniselastic,whatisthetotalenergyofthesystemafterthecollision?（）。

A:.B:.C:.D:.

答案:ATheworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.（）

A:错B:对

答案:BAsourceanddetectorarespacedacertainangleφapartontheedgeofarotatingdisk.Thesourceemitsradiationatafrequencyωinitsinstantaneousrestframe.Whatfrequencyistheradiationdetectedat?（）。

A:1.5ω.B:2ω.C:0.5ω.D:ω.

答案:DArockettravelstowardtheearthwithaspeedof0.8c.Ifthisrocketemitssignaloffrequencyω,what'sthefrequencymeasuredbypeopleontheearth?（）。

A:ω/3.B:ω.C:3ω.D:0.6ω.

答案:CReferenceBmovesalongthex-axisofreferenceAatspeedv.WhenreferenceAemitsabeamoflightatydirection,theanglebetweenthelightandx'-axisdetectedbyreferenceBis53degrees.Ifwewantthisangletodecreaseto37degrees,howfastshouldreferenceBmove?（）。

A:(3/2)v.B:(4/3)v.C:(5/3)v.D:(1/2)v.

答案:B

第六章测试

Whichofthefollowingstatementsarecorrect?（）。

A:IntheEotvosexperiment,thesystemcanbebalancedatrestshowstheequivalenceofgravitationalandinertialmass.B:Einstein’sequivalenceprinciplesaysthat,thereisnoexperimentthatcandistinguishauniformaccelerationfromauniformgravitationalfield.C:TheEotvosexperimentisafamousexperimentofthetestofequivalenceprinciple.D:Theequalityofgravitationalandinertialmassisoneofthemostaccuratelytestedprinciplesinallphysics.

答案:ABCDAssumingtheaccelerationofgravityatthesurfaceoftheearth,howwidetheelevatorhavetobeforethelightraytofallby1mmoverthecourseofitstransit?（）。

A:.B:.C:.D:.

答案:CInaskydivingactivity,youjumpoutsidethesamestaticplane3safterProf.Caijump.Accordingtotheequivalenceprinciple,whoofyoutwohaveaheartjumpingfaster?(Consideridealscenariohere)（）。

A:Theheartofyoutwoalwaysjumpatthesamerate.B:Prof.Cai.C:You.D:Itcannotbedecided.

答案:BBytestingthegravitationalredshift,wecandistinguishbetweenNewtoniangravityandEinstein'sgravity.（）

A:错B:对

答案:BForasphericalstarofmassMandradiusR,thegravitationalpotentialatthesurfaceis-GM/R,andthegravitationalpotentialfarawayiszero.Whenabeamoflightisemittedataratefromthesurface,whatistheratioofitsfrequencyatspatialinfinityandatthesurface?（）。

A:.B:.C:.D:.

答案:DInsideaspaceshuttle,twoping-pongballsareatrest,separatedbys,asshowninthefigure.TheperiodofthespaceshuttleisPandtheradiusoftheearthisR.Aftertimeperiodδtaftertheirrelease,theirseperationbecomess+δs,thenwhichofthefollowingstatementsaretrue?(Assumingtheconditions<<R)（）。

A:Inthisobservation,wecandetecttheearth'sgravitationalfieldinsidethespaceshuttle.B:Thechangeintheseparationhavetheform.C:Theratioofseparationchangesatisfythecondition.D:Therelativeaccelerationbetweenthesetwoballsis.

答案:ABTheoperationoftheGPSsystemreliesontheaccuratetimemeasurementofsatelliteclock,andthusweneedtotakeintoaccountthegeneralrelativitycorrectioninGPSsystem.（）

A:错B:对

答案:BIngeneralrelativity,thelineelementofasphericalstarofmassMandradiusRhastheform

.

Whatisthegravitationalpotentialofthisfieldwhere?（）。

A:.B:.C:.D:.

答案:BTheformula

alsoholdsinstrongfieldanddynamicfieldscenario.（）

A:错B:对

答案:ATheformula

containsthecontributionofbothspecialrelativityandgeneralrelativity.（）

A:对B:错

答案:A

第七章测试

Whichofthefollowingstatementsaboutcoordiantesarecorrect?（）。

A:Coordinate(r',φ)inisnotagoodcoordiantesystem.B:Agoodcoordinatesystemprovidesuniquelabelsforeachpointinspacetime.C:Thereismorethanonewaytochoosethecoordiante.D:Thesingularitiesinmostcoordinatesystemsmeanthatdifferentoverlappingcoordiantepatchesmustbeusedtocoverspacetimesothateverypointislabeledbyanonsingularsetofcoordinates.

答案:ABCDWhichofthefollowingstatementsaboutthePenrosediagramforMinkowskispacetimeinNOTcorrect?（）。

A:spatialinfinity.B:futuretimelikeinfinity.C:nullinfinity.D:pasttimelikeinfinity.

答案:AConsideringthedegreeoffreedomcorrespondingtocoordiantetransformation,whatisthenumberofindependentfunctionsassociatedwithametric?（）。

A:10.B:6.C:16.D:2.

答案:BWhichofthefollowingcanbeaphysicallyallowedmetric?（）。

A:.B:.C:.D:.

答案:AWhenweworkwithorthonormalbases,thismeansweareworkingwithlocalLorentzframe.（）

A:错B:对

答案:AInthiswormholespacetime,whichpointistheclosesttothepointr=10b?（）。

A:Pointr=0.B:Pointr=5b.C:Pointr=-10b.D:Pointr=-5b.

答案:BWhichofthefollowingstatementsiscorrect?（）。

A:Thebaseschosenhereisorthonormalbases.B:Thebaseschosenhereiscoordinatebases.C:Thebaseschosenhereisbothorthonormalbasesandcoordiantebases.D:Thebaseschosenhereisneitherorthonormalbasesnorcoordinatebases.

答案:CGiventhemetricform

,

andfourvector,whatistheresultfor?（）。

A:.B:.C:.D:.

答案:DWhichofthefollowingcanbethenormalvectorofanullsurface?（）。

A:(1,0,0,0).B:(0,1,0,0).C:(0,1,1,0).D:(1,1,0,0).

答案:DIn4Dspacetime,thenormalvectorofaspacelike3D-surfaceistimelike,andthenormalvectorofatimelike3D-surfaceisspacelike.（）

A:错B:对

答案:A

第八章测试

Whichofthefollowingaboutvarianceprincipleandgeodesicarecorrect?（）。

A:Theworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.B:Geodesicisakindofanalogyofstraightlineincurvedspacetime.C:Thedistancealongalightrayiszero.D:Thetrajectoryofmassiveparticleisspacelikegeodesic.

答案:ABCWhichofthefollowingarecorrectformofgeodesicsoftheplaneinpolarcoordinates?（）。

A:.B:.C:.D:.

答案:ABThesolutionsforthegeodesicequationsforatwo-dimensionalflatplanearethestraightlines.（）

A:对B:错

答案:AFromthegeodesicequation

,

whatistheChristoffelsymbol?（）。

A:.B:.C:.D:.

答案:DAboutthesymmetricityofChristoffelsymbol,whichstatementiscorrect?（）。

A:αandγaresymmetric.B:αandβaresymmetric.C:βandγareantisymmetric.D:βandγaresymmetric.

答案:DTheChristoffelsymbolsareequaltozeroinflatspacetime.（）

A:错B:对

答案:AForthespacetimemetric

,

whichofthefollowingcalculationsarecorrect?（）。

A:.B:.C:.D:.

答案:ABForawormholegeometry

,

wehavetheradialequationofmotion

.

Foraradialmovingparticlewithinitialvelocity,howmuchtimeittakesforthisparticletomovefromr=r1ror=r2?(r1>r2)（）。

A:.B:.C:.D:.

答案:CThepropertimefornullgeodesicisalwayszero.（）

A:对B:错

答案:AIncurvedspacetime,thetrajectoryoflightisbentbythegravitationalfield.（）

A:对B:错

答案:A

第九章测试

WhichofthefollowingstatementsarecorrectabouttheSchwarzschildsolution?（）。

A:Thisisthefirstexactsolutionofgeneralrelativity.B:Thissolutionisderivedinahospital.C:Itisasphericallysymmetricsolution.D:ThissolutionisgivenbyEinstein.

答案:ABCWhichofthefollowingareKillingvectorsinSchwarzschildgeometry?（）。

A:.B:.C:.D:.

答案:ACWhichofthefollowingstatementsarecorrectabouttheSchwarzschildsolution?（）。

A:IthavetwoKillingfieldsintotal.B:Ithasaphysicalsingularityatr=0.C:Itisastaticsolution.D:ThereisaphysicalsingularityatSchwarzschildradius.

答案:BCThemassofthesunis.EstimatetheSchwarzschildradiusofthesun?（）。

A:300km.B:3km.C:1km.D:10km.

答案:BAbeamoflightoffrequencyωmeasuredbystationaryobserverisemittedatradiusr=4M.Atwhatradiusitsfrequencymeasuredbystationaryobserverreducestoω/2?（）。

A:3M.B:8M/3.C:12M.D:6M/5.

答案:BWhichofthefollowingistheconservedquantitycorrespondingtimeindependenceinSchwarzschildgeometry?（）。

A:.B:.C:.D:.

答案:DWhichofthefollowingstatementsaboutmassiveparticlemovementinSchwazschildgeometryiscorrect?（）。

A:ParticlewithE=0.02willturnbacktothespatialinfinity.B:ParticlewithE=0doesparabolaemovement.C:ParticlewithE=-0.02doescircularorbitmovement.D:ParticlewithE=0.05willdohyperbolaemovement.

答案:AWhichofthefollowingstatementsiscorrectaboutlightdeflectioninSchwarzschildgeometry?（）。

A:Thedeflectionangledependsontheimpactparameter.B:Thedeflectionanglebecomeslargerwithaheaviercentralstar.C:Nomatterhowstrongthegravitationalfieldis,lightraywillneverdocircularorbit.D:ThisphenomenonalsohappensinNewtoniangravity.

答案:BWhichofthefollowingstatementsiscorrectaboutlightrayorbitsinSchwarzschildgeometry?（）。

A:Thereisastablecircularorbitr=6M.B:Thereisainstablecircularorbitatr=6M.C:Thereisastablecircularorbitatr=3M.D:Thereisainstablecircularorbitatr=3M.

答案:ATheprecessionoftheperihelionandthelightdeflectionprovideuswithpossiblemethodofgravitationaltheoryexamination.（）

A:错B:对

答案:B

第十章测试

AgravitationaltheorymusthavecorrectNewtonianlimit.（）

A:对B:错

答案:AGravitationalredshiftexperimentisanimportantprobeoftheequivalenceprinciple.（）

A:错B:对

答案:BWhatisthePPNparameterspredictedbygeneralrelativity?（）。

A:.B:.C:.D:.

答案:AWhichofthefollowingisnotsolarsystemtestofgeneralrelativity?（）。

A:thedeflectionoflight.B:thetimedelayoflight.C:themergerofbinaryblackhole.D:theprecessionoftheperihelionofaplanetaryorbit.

答案:CWhichofthefollowingcanbeusedtomeasurePPNparameterγ?（）。

A:thetimedelayoflight.B:thegravitationalredshift.C:thedeflectionoflight.D:theprecessionoftheperihelionofaplanetaryorbit.

答案:ACDWhichofthefollowingcanbeusedtomeasurePPNparameterβ?（）。

A:thedeflectionoflight.B:thetimedelayoflight.C:theprecessionoftheperihelionofaplanetaryorbit.D:thegravitationalredshift.

答案:CWhichofthefollowinghasthebiggestinfluencetotheprecisionofgravitationalredshiftexperiment?（）。

A:theprecisionofsignalfrequency.B:theprecisionoftheclock.C:Dopplereffect.D:theheightoftherocket.

答案:CWhyweneedthemoonhereinthelightdeflectexperiment?（）。

A:toworkasareferenceobject.B:tohidethesun.C:it'sonlyacoincidence.D:toprovideextragravitationalfield.

答案:AWhyweusedMercuryfortheobservationofperihelionprecession?（）。

A:It'sonlyacoincidence.B:Becauseit'sclosetothesun.C:Becauseit'sclosetotheearth.D:Becauseit'sbrightandeasytoobserve.

答案:BGeneralrelativityistheonlygravitationaltheorywithPPNparameterβ=1andγ=1.（）

A:错B:对

答案:A

第十一章测试

Whatwillmetric

beafterthecoordinatetransformation?（）。

A:.B:.C:.D:.

答案:DWhichofthefollowingarecorrectaboutthesingularityofSchwarzschildspacetime?（）。

A:Thesingularityatr=2Misaphysicalsingularity.B:Thesingularityatr=0isaphysicalsingularity.C:Thesingularityatr=2Misacoordiantesingularity.D:Thesingularityatr=0isacoordinatesingularity.

答案:BCWhichofthefollowingisNOTworldlinesforradiallightrays?（）。

A:.B:.C:.D:.

答案:D

WhichofthefollowingiscorrectabouttheSchwarzschildmetric?（）。

A:Youwillneverbeabletocrossr=2M.B:Youwillneverbeabletogoinsider=2M.C:Youwillneverbeabletoreachr=0.D:Youwillbeabletocrossr=2Mforatmostonce.

答案:CD

Oneobserverfollowsthesurfaceofacollapsingstar,andsendsoutlightsignalsatequalpropertimeintervalsaccordingtoaclockfallingwiththesurface.Anotherobserverreceivesthesesignalsfarawayfromthisthisstar.Whichofthefollowingstatementsarecorrect?（）。

A:Thedistantobserverwillseethesurfaceofthestarcrossr=2Mafteralongtime.B:Thepulsesarriveseparatedbylongerandlongerintervalsasmeasuerdbythedistantobserver'sclock.C:Theredshiftofthesignalreceivedbythedistantobserverisgettingbiggerandbigger.D:ThegeometryinsidethestarisnottheSchwarzschildgeometry.

答案:BCDTheformationofablackhole.Whichofthefollowingarecorrectdescriptionofthepicture?（）。

A:Thebottomsurfaceistheworldsheetsweptoutbythesurfaceofthecollapsingstarasitprogressestoasingularity.B:TheverticalcylinderisthehorizonattheSchwarzschildradius.C:Theworldlineofanobserverfallingfreelythroughthehorizonandintothesingularity.D:Theorientationofthefuturelightconesatdifferentradiiont=constsurface.

答案:ABCD

WhichofthefollowingiscorrectabouttheKruskaldiagramsforSchwarzschildgeometry?（）。

A:a:eventhorizon,b:constantrline,c:singularity,d:timelikeworldline.B:a:eventhorizon,b:singularity,c:timellikeworldline,d:constantrline.C:a:singularity,b:eventhorizon,c:timellikeworldline,d:constantrline.D:a:eventhorizon,b:singularity,c:constantrline,d:timelikeworldline.

答案:C

WhichofthefollowingiscorrectaboutthePenrosediagramforSchwarzschildgeometry?（）。

A:a:spacelikeinfinity,b:futurenullinfinity,c:eventhorizon,d:singularity.B:a:singularity,b:eventhorizon,c:futurenullinfinity,d:spacelikeinfinity.C:a:futurenullinfinity,b:spacelikeinfinity,c:singularity,d:eventhorizon.D:a:eventhorizon,b:singularity,c:spacelikeinfinity,d:futurenullinfinity.

答案:BWhichofthefollowingmetriccanNOTdescribeSchwarzschildspacetime?（）。

A:B:.C:.D:.

答案:BWhichofthefollowingstatementsaboutthecoordinatechoicearecorrect?（）。

A:Eddington-Finkelsteincoordinatesarenotveryusefulforanalyzingtheorbitsoftestparticlesandlightraysatlargedistancesfromtheblackhole.B:InsomerespectsthecausalpropertiesoftheSchwarzschildblackholearemoredirectlyrevealedinKruskal-SzekerescoordinatesthanintheEddingtong-Finkelsteinones.C:Kruskal-Szekerescoordinatesarethebasisforotherusefulrepresentationsofblack-holegeometry.D:Kruskal-Szekerescoordinateshavetheviruteofworkingbothnearandfarfromtheblackhole.

答案:BC

第十二章测试

Whichofthefollowingastrophysicalobjectstypicallytheheaviest?（）。

A:neutronstar.B:Primordialblackholes.C:BlackholeinX-raybinaries.D:Blackholeingalaxycenters.

答案:DWhatisthetypicalmassofblackholeinX-raybinaries?（）。

A:.B:.C:.D:.

答案:APBHwithmass（）evaporatetoday。

A:.B:.C:.D:.

答案:ACDWhatisthetypicalfrequencybandofblackhole-neutralstarmerger?（）。

A:opticalband.B:microwaveband.C:γ-rayband.D:X-rayband.

答案:DThemassfunctionofbinaryblackholemergerdependsontheangleofinclinationoftheorbitalplanetothelineofsight.（）

A:对B:错

答案:AWhatisthecorrectformofthefrequencycalculationofbinaryblackholemerger?（）。

A:.B:.C:.D:.

答案:AWhichofthefollowingiscorrectaboutthefeatureofActiveGalaticNuclei?（）。

A:Theyhaveopticalorradiojetsoutflowingmatter.B:Theemittingregionhaslargesize.C:Theirluminosityisveryhigh.D:Theirspectrumisbroadandnonthermal.

答案:ACDHawkingradiationresultsfromvacuumfluctuationscreatingparticle-antiparticlepairinthevicintyofBHhorizon.（）

A:错B:对

答案:BWhichofthefollowingstatementsaboutHawkingradiationiscorrect?（）。

A:It'aakindofquantummechanicphenomenon.B:Thetemperatureistinyandisalwaysnegligible.C:Itonlyhappensaroundsphericallysymmetricblackhole.D:Thisprocessviolatestheenergyconservationlaw.

答案:A

第十三章测试

Accordingtotheweakversionofcosmiccensroshipconjecture,whereofthefollowinganakedsingularityisallowed?（）。

A:inheaven.B:thesourceoffastradioburst.C:thestartofthebigbang.D:insideasphericalstar.

答案:CAccordingtothestrongversionofcosmiccensorshipconjecture,theclassicalfateofallobserversshoulebepredictablefrominitialdata.（）

A:对B:错

答案:AWhichofthefollowingisthecorrectdescriptionofKerrblackhole?（）。

A:it'srotating,butitdon'thavecharge.B:it'srotating,andithavecharge.C:it'srotating,butithavecharge.D:it'snotrotating,andithavecharge.

答案:AWhichofthefollowingsoftwaremayhelpyoutogettheKerrsolutionanalytically?（）。

A:Photoshop.B:Solidworks.C:Mathematica.D:Origin.

答案:CWhichofthefollowingstatementaboutthesymmetrypropertiesandKillingfieldsaboutKerrblackholearecorrect?（）。

A:Ithas2independentKillingfields.B:SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.C:isaKillingfieldofthespacetimerelatedtostationalsymmetry.D:isaKillingfieldofthespacetimerelatedtosphericalsymmetry.

答案:ABCWhichofthefollowingstatementaboutthesymmetrypropertiesandKillingfieldsaboutKerrblackholearecorrect?（）。

A:SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.B:isaKillingfieldofthespacetimerelatedtosphericalsymmetry.C:isaKillingfieldofthespacetimerelatedtostationalsymmetry.D:Ithas2independentKillingfields.

答案:ACDWhichofthefollowingstatementaboutthecoordinatesingularityofKerrspacetimearecorrect?（）。

ThemetricofKerrgeometryisgivenby

where

A:Therearetwocoordinatesingularitiesat.B:ThecoordinatesingularityofKerrspacetimeisjustlikethesingularityinSchwarzschildcoordinatesattheSchwarzschildradius.C:Therearecoordinatesingularitieswhere∆vanishes.D:Therearetwocoordinatesingularitiesat.

答案:BCDWhereistherealsingularitiesofKerrspacetime?（）。

A:.B:.C:.D:.

答案:ASchwarzschildsolutionandKerrsolutionaretheonlyallowedvacuumsolution.（）

A:对B:错

答案:BWhichofthefollowingstatementaboutKerrblackholeiscorrect?（

）。

A:ThereisanakedsingularityinsideKerrblackhole.B:Thesolutionissphericallysymmetric.C:ThissolutionwasgivenbyKerr.D:Thissolutionhasthreeindependentparametera,JandM.

答案:C

第十四章测试

Whichofthefollowingstatementsaboutgravitationalwavesarecorrect?（）。

A:Itmaybeproducedthroughbinarystarsystems,supernovaexplosionsandsoon.B:Thisconceptwasraisedaroundonehundredyearsago.C:Therearemanyequipmentsforgravitationalwavedetection,suchasLIGO,VirgoandWMAP.D:Wehaven'tdetectedgravitatinalwavesignalssofar.

答案:ABOurcalculationinthissectionrequiresthatthegravitationalwaveisonlyasmallperturbation.（）

A:对B:错

答案:AThereisoneparticleAatorigin(0,0,0),andanotherparticleBat(1,0,0).Abeamofgravitationalwavepropagatealongzaxis,andtheamplitudeofthisgravitationalwaveis0.8.Whichofthefollowingstatementsarecorrect?（）。

A:ThedistancebetweenparticleAandparticleBoscillatesbetween0.2and1.8.B:ThexcoordinateofparticleBoscillatesbetween0.2and1.8.C:Wedon'tknowtheamplitudeofdistanceoscillationbetweenparticleAandparticleD:ThecoordinateofbothparticleAandparticleBareunchanged.

答案:BCThereisoneparticleAatorigin(0,0,0),andanotherparticleBat(0,0,1).Abeamofgravitationalwavepropagatealongzaxis,andtheamplitudeofthisgravitationalwaveis0.8.Whichofthefollowingstatementsarecorrect?（）。

A:ThecoordinateofbothparticleAandparticleBareunchanged.B:ThexcoordinateofparticleBoscillatesbetween0.2and1.8.C:Wedon'tknowtheamplitudeofdistanceoscillationbetweenparticleAandparticleD:ThedistancebetweenparticleAandpart