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时间和空间知到章节测试答案智慧树2023年最新中国科学技术大学绪论单元测试
WhichofthefollowingtopicsisNOTcoveredinthiscourse?(
)。
参考答案:
Thethermodynamicsofblackhole
第一章测试
Whichistheweakestinthefourfundamentalinteractions?()。
参考答案:
Gravitation
Whichinteractiondoesphotonmediate?()。
参考答案:
Electromagnetism
WhichisthecorrectformofNewton’sinversesquaregravitylaw?()。
参考答案:
Gravityisuniversalbecausetherearenonegativegravitationalcharge.()
参考答案:
错
Whichofthefourfundamentalinteractionsarelongdistanceforce?()。
参考答案:
Gravitation;Electromagnetism
Whichisthecorrectformoftheimportantratiointhissection?()。
参考答案:
Whichofthefollowinghasthestrongestgravitationalenvironment?()。
参考答案:
StrandofDNA
Ouruniverseisastronggravitysystem.()
参考答案:
对
Whichofthefollowingstatementaboutblackholesiscorrect?()。
参考答案:
Theireventhorizonis.
Whichofthefollowingstatementaboutgravitationalwavesiscorrect?()。
参考答案:
asystemconsistingoftwoblackholes(orBH-star)incloseorbitaroundeachothercangenerategravitationalwaves;GW150914isthefirstgravitationalwavesignalhumanobserved.;Gravitationalwavescanpropagatewiththespeedoflight.
第二章测试
Inagravitationalfield,allbodieswiththesameinitialconditionsfollowthesamecurveinspaceandtime.()
参考答案:
对
Whichisthecorrectformofsumofinterioranglesforatriangleonasphere?()。
参考答案:
Whichisrangeofsumofinterioranglesforatriangleonasphere?()。
参考答案:
Whichiscorrectformoftheratioofthecircumferencetotheradiusofacircleonasphere?()。
参考答案:
Forsomegeometry,thesumoftheinteriorangleofatrianglecanbesmallerthan180degree.()
参考答案:
对
Thelineelementforageometrymustbepositivedefinite.()
参考答案:
对
WhichiscorrectformofthelineelementforpolarcoordiantesintheEuclideangeometryofaplane?()。
参考答案:
Whatisthedistancebetweentwopointandonasphereofradiusa?(assuming)()。
参考答案:
Thegeometrywiththelineelementisaxisymmetricaboutaaxis.()
参考答案:
对
Whatisthecircumferenceofacircleofconstantonageometrywiththelineelement()。
参考答案:
第三章测试
Ifthemotionofagivenparticlesatistiesinsomereferenceframe,thenthisframeiscalledainertialframe.()
参考答案:
错
Ifreferenceframe(x,y,z)isainertialframeinNewtoniangravity,thenwhichofthefollowingtransformationsalsogiveineritalframe()。
参考答案:
;;
WhichofthefollowingtransformationdoesnotbelongtoGalileantransformation?()。
参考答案:
WhichisthecorrectformofgravitationalpotentialforpointmassM?()。
参考答案:
WhatisthestrengthofgravitationalinteractionbetweentwospheresR1ofmassm1,m2andR1,R2,seperatedbyr?()。
参考答案:
Whichofthefollowingstatementabouttherelationshipbetweengravitationalforceandgravitationalpotentialiscorrect?()。
参考答案:
Gravitationalforcepointsatthedirectinwhichgraviattionalpotentialdecrease.;Largegradientofgravitationalpotentialmeanslargegravitationalforce.
Themassappearinginwhichofthefollowingexpressionisgravitationalmass?()。
参考答案:
InNewtoniangravity,wehavetheassumptionthatgravitationalmassandinertialmassareequaltoeachother.()
参考答案:
对
Foraparticleofmassm,movinginapotentialV(x),what'sthecorrectformofitsLagrangian?()。
参考答案:
WhatistheequationofmotionfortheLagrangian?()。
参考答案:
第四章测试
TheMaxwellequationstakethesameformineveryinertialframeofNewtonianmechanics.()
参考答案:
错
WhichofthefollowingstatementabouttheMichelson-Morleyexperimentarecorrect?()。
参考答案:
null
Whichofthefollowingstatementaboutthefollowingspacetimediagramarecorrect?()。
参考答案:
ParticleBmovesfasteratpointIthanpointII.;ParticleAandparticleBaregettingclosertoeachother.
Whichofthefollowingstatementaboutthefollowinglightclockexperimentarecorrect?()。
参考答案:
Intheleftpanel,theperiodofpulseis.;Intherightpanel,theperiodofpulsesatisfies.
WhichofthefollowinglineelementcanNOTdescribeMinkowskigeometry?()。
参考答案:
.
Whichsetofpoints(ct,x,y,z)aretimelikeseparated?()。
参考答案:
A(0,0,1,0)andB(2,1,0,0).
Twotwins,AliceandBob,startfromrestatonepointinspaceattimet1inaninertialframe.Alicemovesawayfromthestartingpointbutlaterreturnstorestatthesamepointattimet2.Bobremainsatrestatthestartingpoint.Whichofthefollowingstatementiscorrect?()。
参考答案:
AliceageslessthanBob.
AccordingthespacetimediagramoftwoframesO(x,ct)andO'(x',ct'),whichofthefollowingstatementarecorrect?()。
参考答案:
null
ReferenceBmovesawayfromreferenceAatthespeedof0.6c.InreferenceframeA,arulerisstatic,anditslengthis1m.WhatisthelengthofthisrulermeasuedinreferenceB?()。
参考答案:
0.8m.
Aflashlightisstaticonatrainmovingat0.8c.Whatisthespeedoflightmeasuredbypeoplestandingonthegroundbesidethistrain?()。
参考答案:
c.
第五章测试
Assuminga=(2,1,3,0),b=(1,2,1,4),whatistheresultfora*b?(Herewehaveη=diag(-1,1,1,1))()。
参考答案:
3.
WhichofthefollowingisNOTafourvector?()。
参考答案:
.
Assuming,whatisthecorrespondingfourvelocity?(Hereweassumec=1)()。
参考答案:
.
Foraone-dimensionalmovingparticlesatisfying
,
whatisitsfourvelocity?()。
参考答案:
.
Foraone-dimensionalmovingparticlesatisfying
,
supposingitsmassism,whatisitsfourforce?()。
参考答案:
.
Aparticleofmassmhitanotherparticleofmass2matspeedv.Ifthecollisioniselastic,whatisthetotalenergyofthesystemafterthecollision?()。
参考答案:
.
Theworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.()
参考答案:
对
Asourceanddetectorarespacedacertainangleφapartontheedgeofarotatingdisk.Thesourceemitsradiationatafrequencyωinitsinstantaneousrestframe.Whatfrequencyistheradiationdetectedat?()。
参考答案:
ω.
Arockettravelstowardtheearthwithaspeedof0.8c.Ifthisrocketemitssignaloffrequencyω,what'sthefrequencymeasuredbypeopleontheearth?()。
参考答案:
3ω.
ReferenceBmovesalongthex-axisofreferenceAatspeedv.WhenreferenceAemitsabeamoflightatydirection,theanglebetweenthelightandx'-axisdetectedbyreferenceBis53degrees.Ifwewantthisangletodecreaseto37degrees,howfastshouldreferenceBmove?()。
参考答案:
(4/3)v.
第六章测试
Whichofthefollowingstatementsarecorrect?()。
参考答案:
Theequalityofgravitationalandinertialmassisoneofthemostaccuratelytestedprinciplesinallphysics.;Einstein’sequivalenceprinciplesaysthat,thereisnoexperimentthatcandistinguishauniformaccelerationfromauniformgravitationalfield.;IntheEotvosexperiment,thesystemcanbebalancedatrestshowstheequivalenceofgravitationalandinertialmass.;TheEotvosexperimentisafamousexperimentofthetestofequivalenceprinciple.
Assumingtheaccelerationofgravityatthesurfaceoftheearth,howwidetheelevatorhavetobeforethelightraytofallby1mmoverthecourseofitstransit?()。
参考答案:
.
Inaskydivingactivity,youjumpoutsidethesamestaticplane3safterProf.Caijump.Accordingtotheequivalenceprinciple,whoofyoutwohaveaheartjumpingfaster?(Consideridealscenariohere)()。
参考答案:
Prof.Cai.
Bytestingthegravitationalredshift,wecandistinguishbetweenNewtoniangravityandEinstein'sgravity.()
参考答案:
对
ForasphericalstarofmassMandradiusR,thegravitationalpotentialatthesurfaceis-GM/R,andthegravitationalpotentialfarawayiszero.Whenabeamoflightisemittedataratefromthesurface,whatistheratioofitsfrequencyatspatialinfinityandatthesurface?()。
参考答案:
.
Insideaspaceshuttle,twoping-pongballsareatrest,separatedbys,asshowninthefigure.TheperiodofthespaceshuttleisPandtheradiusoftheearthisR.Aftertimeperiodδtaftertheirrelease,theirseperationbecomess+δs,thenwhichofthefollowingstatementsaretrue?(Assumingtheconditions<<R)()。
参考答案:
null
TheoperationoftheGPSsystemreliesontheaccuratetimemeasurementofsatelliteclock,andthusweneedtotakeintoaccountthegeneralrelativitycorrectioninGPSsystem.()
参考答案:
对
Ingeneralrelativity,thelineelementofasphericalstarofmassMandradiusRhastheform
.
Whatisthegravitationalpotentialofthisfieldwhere?()。
参考答案:
.
Theformula
alsoholdsinstrongfieldanddynamicfieldscenario.()
参考答案:
错
Theformula
containsthecontributionofbothspecialrelativityandgeneralrelativity.()
参考答案:
对
第七章测试
Whichofthefollowingstatementsaboutcoordiantesarecorrect?()。
参考答案:
null
WhichofthefollowingstatementsaboutthePenrosediagramforMinkowskispacetimeinNOTcorrect?()。
参考答案:
spatialinfinity.
Consideringthedegreeoffreedomcorrespondingtocoordiantetransformation,whatisthenumberofindependentfunctionsassociatedwithametric?()。
参考答案:
6.
Whichofthefollowingcanbeaphysicallyallowedmetric?()。
参考答案:
.
Whenweworkwithorthonormalbases,thismeansweareworkingwithlocalLorentzframe.()
参考答案:
错
Inthiswormholespacetime,whichpointistheclosesttothepointr=10b?()。
参考答案:
Pointr=5b.
Whichofthefollowingstatementsiscorrect?()。
参考答案:
Thebaseschosenhereisbothorthonormalbasesandcoordiantebases.
Giventhemetricform
,
andfourvector,whatistheresultfor?()。
参考答案:
.
Whichofthefollowingcanbethenormalvectorofanullsurface?()。
参考答案:
(1,1,0,0).
In4Dspacetime,thenormalvectorofaspacelike3D-surfaceistimelike,andthenormalvectorofatimelike3D-surfaceisspacelike.()
参考答案:
错
第八章测试
Whichofthefollowingaboutvarianceprincipleandgeodesicarecorrect?()。
参考答案:
Geodesicisakindofanalogyofstraightlineincurvedspacetime.;Theworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.;Thedistancealongalightrayiszero.
Whichofthefollowingarecorrectformofgeodesicsoftheplaneinpolarcoordinates?()。
参考答案:
.;.
Thesolutionsforthegeodesicequationsforatwo-dimensionalflatplanearethestraightlines.()
参考答案:
对
Fromthegeodesicequation
,
whatistheChristoffelsymbol?()。
参考答案:
.
AboutthesymmetricityofChristoffelsymbol,whichstatementiscorrect?()。
参考答案:
βandγaresymmetric.
TheChristoffelsymbolsareequaltozeroinflatspacetime.()
参考答案:
错
Forthespacetimemetric
,
whichofthefollowingcalculationsarecorrect?()。
参考答案:
.;.
Forawormholegeometry
,
wehavetheradialequationofmotion
.
Foraradialmovingparticlewithinitialvelocity,howmuchtimeittakesforthisparticletomovefromr=r1ror=r2?(r1>r2)()。
参考答案:
.
Thepropertimefornullgeodesicisalwayszero.()
参考答案:
对
Incurvedspacetime,thetrajectoryoflightisbentbythegravitationalfield.()
参考答案:
对
第九章测试
WhichofthefollowingstatementsarecorrectabouttheSchwarzschildsolution?()。
参考答案:
Thissolutionisderivedinahospital.;Thisisthefirstexactsolutionofgeneralrelativity.;Itisasphericallysymmetricsolution.
WhichofthefollowingareKillingvectorsinSchwarzschildgeometry?()。
参考答案:
.;.
WhichofthefollowingstatementsarecorrectabouttheSchwarzschildsolution?()。
参考答案:
Itisastaticsolution.;Ithasaphysicalsingularityatr=0.
Themassofthesunis.EstimatetheSchwarzschildradiusofthesun?()。
参考答案:
3km.
Abeamoflightoffrequencyωmeasuredbystationaryobserverisemittedatradiusr=4M.Atwhatradiusitsfrequencymeasuredbystationaryobserverreducestoω/2?()。
参考答案:
8M/3.
WhichofthefollowingistheconservedquantitycorrespondingtimeindependenceinSchwarzschildgeometry?()。
参考答案:
.
WhichofthefollowingstatementsaboutmassiveparticlemovementinSchwazschildgeometryiscorrect?()。
参考答案:
ParticlewithE=0.02willturnbacktothespatialinfinity.
WhichofthefollowingstatementsiscorrectaboutlightdeflectioninSchwarzschildgeometry?()。
参考答案:
Thedeflectionanglebecomeslargerwithaheaviercentralstar.
WhichofthefollowingstatementsiscorrectaboutlightrayorbitsinSchwarzschildgeometry?()。
参考答案:
Thereisastablecircularorbitr=6M.
Theprecessionoftheperihelionandthelightdeflectionprovideuswithpossiblemethodofgravitationaltheoryexamination.()
参考答案:
对
第十章测试
AgravitationaltheorymusthavecorrectNewtonianlimit.()
参考答案:
对
Gravitationalredshiftexperimentisanimportantprobeoftheequivalenceprinciple.()
参考答案:
对
WhatisthePPNparameterspredictedbygeneralrelativity?()。
参考答案:
.
Whichofthefollowingisnotsolarsystemtestofgeneralrelativity?()。
参考答案:
themergerofbinaryblackhole.
WhichofthefollowingcanbeusedtomeasurePPNparameterγ?()。
参考答案:
thetimedelayoflight.;thedeflectionoflight.;theprecessionoftheperihelionofaplanetaryorbit.
WhichofthefollowingcanbeusedtomeasurePPNparameterβ?()。
参考答案:
theprecessionoftheperihelionofaplanetaryorbit.
Whichofthefollowinghasthebiggestinfluencetotheprecisionofgravitationalredshiftexperiment?()。
参考答案:
Dopplereffect.
Whyweneedthemoonhereinthelightdeflectexperiment?()。
参考答案:
null
WhyweusedMercuryfortheobservationofperihelionprecession?()。
参考答案:
null
GeneralrelativityistheonlygravitationaltheorywithPPNparameterβ=1andγ=1.()
参考答案:
错
第十一章测试
Whatwillmetric
beafterthecoordinatetransformation?()。
参考答案:
.
WhichofthefollowingarecorrectaboutthesingularityofSchwarzschildspacetime?()。
参考答案:
Thesingularityatr=0isaphysicalsingularity.;Thesingularityatr=2Misacoordiantesingularity.
WhichofthefollowingisNOTworldlinesforradiallightrays?()。
参考答案:
.
WhichofthefollowingiscorrectabouttheSchwarzschildmetric?()。
参考答案:
Youwillneverbeabletoreachr=0.;Youwillbeabletocrossr=2Mforatmostonce.
Oneobserverfollowsthesurfaceofacollapsingstar,andsendsoutlightsignalsatequalpropertimeintervalsaccordingtoaclockfallingwiththesurface.Anotherobserverreceivesthesesignalsfarawayfromthisthisstar.Whichofthefollowingstatementsarecorrect?()。
参考答案:
null
Theformationofablackhole.Whichofthefollowingarecorrectdescriptionofthepicture?()。
参考答案:
Theorientationofthefuturelightconesatdifferentradiiont=constsurface.;Theworldlineofanobserverfallingfreelythroughthehorizonandintothesingularity.;Thebottomsurfaceistheworldsheetsweptoutbythesurfaceofthecollapsingstarasitprogressestoasingularity.;TheverticalcylinderisthehorizonattheSchwarzschildradius.
WhichofthefollowingiscorrectabouttheKruskaldiagramsforSchwarzschildgeometry?()。
参考答案:
a:singularity,b:eventhorizon,c:timellikeworldline,d:constantrline.
WhichofthefollowingiscorrectaboutthePenrosediagramforSchwarzschildgeometry?()。
参考答案:
a:singularity,b:eventhorizon,c:futurenullinfinity,d:spacelikeinfinity.
WhichofthefollowingmetriccanNOTdescribeSchwarzschildspacetime?()。
参考答案:
.
Whichofthefollowingstatementsaboutthecoordinatechoicearecorrect?()。
参考答案:
InsomerespectsthecausalpropertiesoftheSchwarzschildblackholearemoredirectlyrevealedinKruskal-SzekerescoordinatesthanintheEddingtong-Finkelsteinones.;Kruskal-Szekerescoordinatesarethebasisforotherusefulrepresentationsofblack-holegeometry.
第十二章测试
Whichofthefollowingastrophysicalobjectstypicallytheheaviest?()。
参考答案:
Blackholeingalaxycenters.
WhatisthetypicalmassofblackholeinX-raybinaries?()。
参考答案:
.
PBHwithmass()evaporatetoday。
参考答案:
.;.;.
Whatisthetypicalfrequencybandofblackhole-neutralstarmerger?()。
参考答案:
X-rayband.
Themassfunctionofbinaryblackholemergerdependsontheangleofinclinationoftheorbitalplanetothelineofsight.()
参考答案:
对
Whatisthecorrectformofthefrequencycalculationofbinaryblackholemerger?()。
参考答案:
.
WhichofthefollowingiscorrectaboutthefeatureofActiveGalaticNuclei?()。
参考答案:
Theyhaveopticalorradiojetsoutflowingmatter.;Theirspectrumisbroadandnonthermal.;Theirluminosityisveryhigh.
Hawkingradiationresultsfromvacuumfluctuationscreatingparticle-antiparticlepairinthevicintyofBHhorizon.()
参考答案:
对
WhichofthefollowingstatementsaboutHawkingradiationiscorrect?()。
参考答案:
null
第十三章测试
Accordingtotheweakversionofcosmiccensroshipconjecture,whereofthefollowinganakedsingularityisallowed?()。
参考答案:
thestartofthebigbang.
Accordingtothestrongversionofcosmiccensorshipconjecture,theclassicalfateofallobserversshoulebepredictablefrominitialdata.()
参考答案:
对
WhichofthefollowingisthecorrectdescriptionofKerrblackhole?()。
参考答案:
null
WhichofthefollowingsoftwaremayhelpyoutogettheKerrsolutionanalytically?()。
参考答案:
Mathematica.
WhichofthefollowingstatementaboutthesymmetrypropertiesandKillingfieldsaboutKerrblackholearecorrect?()。
参考答案:
Ithas2independentKillingfields.;isaKillingfieldofthespacetimerelatedtostationalsymmetry.;SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.
WhichofthefollowingstatementaboutthesymmetrypropertiesandKillingfieldsaboutKerrblackholearecorrect?()。
参考答案:
SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.;Ithas2independentKillingfields.;isaKillingfieldofthespacetimerelatedtostationalsymmetry.
WhichofthefollowingstatementaboutthecoordinatesingularityofKerrspacetimearecorrect?()。
ThemetricofKerrgeometryisgivenby
where
参考答案:
Therearecoordinatesingularitieswhere∆vanishes.;ThecoordinatesingularityofKerrspacetimeisjustlikethesingularityinSchwarzschildcoordinatesattheSchwarzschildradius.;Therearetwocoordinatesingularitiesat.
WhereistherealsingularitiesofKerrspacetime?()。
参考答案:
.
SchwarzschildsolutionandKerrsolutionaretheonlyallowedvacuumsolution.()
参考答案:
错
WhichofthefollowingstatementaboutKerrblackholeiscorrect?(
)。
参考答案:
ThissolutionwasgivenbyKerr.
第十四章测试
Whichofthefollowingstatementsaboutgravitationalwavesarecorrect?()。
参考答案:
null
Ourcalculationinthissectionrequiresthatthegravitationalwaveisonlyasmallperturbation.()
参考答案:
对
ThereisoneparticleAatorigin(0,0,0),andanotherparticleBat(1,0,0).Abeamofgravitationalwavepropagatealongzaxis,andtheamplitudeofthisgravitationalwaveis0.8.Whichofthefollowingstatementsarecorrect?()。
参考答案:
null
ThereisoneparticleAatorigin(0,0,0),andanotherparticleBat(0,0,1).Abeamofgravitationalwavepropagatealongzaxis,andtheamplitudeofthisgravitationalwaveis0.8.Whichofthefollowingstatementsarecorrect?()。
参考答案:
null
Whichofthefollowingfigureshowthegravitationalwavedescribedbythismetric?()。
参考答案:
.
Forabeamofgravitationalwavepropagatingalongzaxis,howmanyindependentpolarizationsdoesithave?()。
参考答案:
2.
Whichofthefollowingmetriccandescribegravitationalwavepropagatingalongydirection?()。
参考答案:
.
IfthearmlengthofLIGOis4km,andtheamplitudeofthegravitationalwaveis.Trytoestimatethedistancechange?()。
参考答案:
.
Whichofthefollowingarecorrectaboutthegravitationalwavedetection?()。
参考答案:
WhenL1getslarger,L2getssmalleratthesametime.;Theorientationofthisequipmentplayaroleinthefinalsignalreceived.;Thedistancechangeisdetectedbylaserinterference.
Whichofthefollowingarecorrectaboutgravitationalwaves?()。
参考答案:
GWcancarryenergytopropagate.;Theypropagatewiththespeedoflight.;TheenergydensityofGWisdefinedasanaverageoverservalwavelengths.
第十五章测试
Cosmologicalprinciplesaysthattheuniverseisisotropic(thesameinonedirectionasinanyother)andhomogeneous(thesameinoneplaceasinanyother).()
参考答案:
对
Whichofthefollowingarecorrect?()。
参考答案:
TheFriedmannequationswerederivedin1923.;metricassumesthatouruniverseisspatiallyflat.;theFriedmannequation,conservationequationandequationofstateareindependentfromeachother.
Whichofthefollowingarecorrectaboutthebasicobserv
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