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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:

Whichofthefourfundamentalinteractionsarelongdistanceforce?()。

参考答案:

Gravitation;Electromagnetism

Whichisthecorrectformoftheimportantratiointhissection?()。

参考答案:

Whichofthefollowinghasthestrongestgravitationalenvironment?()。

参考答案:

StrandofDNA

Ouruniverseisastronggravitysystem.()

参考答案:

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:

Whichisthecorrectformofsumofinterioranglesforatriangleonasphere?()。

参考答案:

Whichisrangeofsumofinterioranglesforatriangleonasphere?()。

参考答案:

Whichiscorrectformoftheratioofthecircumferencetotheradiusofacircleonasphere?()。

参考答案:

Forsomegeometry,thesumoftheinteriorangleofatrianglecanbesmallerthan180degree.()

参考答案:

Thelineelementforageometrymustbepositivedefinite.()

参考答案:

WhichiscorrectformofthelineelementforpolarcoordiantesintheEuclideangeometryofaplane?()。

参考答案:

Whatisthedistancebetweentwopointandonasphereofradiusa?(assuming)()。

参考答案:

Thegeometrywiththelineelementisaxisymmetricaboutaaxis.()

参考答案:

Whatisthecircumferenceofacircleofconstantonageometrywiththelineelement()。

参考答案:

第三章测试

Ifthemotionofagivenparticlesatistiesinsomereferenceframe,thenthisframeiscalledainertialframe.()

参考答案:

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:

Foraparticleofmassm,movinginapotentialV(x),what'sthecorrectformofitsLagrangian?()。

参考答案:

WhatistheequationofmotionfortheLagrangian?()。

参考答案:

第四章测试

TheMaxwellequationstakethesameformineveryinertialframeofNewtonianmechanics.()

参考答案:

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:

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:

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:

Ingeneralrelativity,thelineelementofasphericalstarofmassMandradiusRhastheform

.

Whatisthegravitationalpotentialofthisfieldwhere?()。

参考答案:

.

Theformula

alsoholdsinstrongfieldanddynamicfieldscenario.()

参考答案:

Theformula

containsthecontributionofbothspecialrelativityandgeneralrelativity.()

参考答案:

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:

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:

第八章测试

Whichofthefollowingaboutvarianceprincipleandgeodesicarecorrect?()。

参考答案:

Geodesicisakindofanalogyofstraightlineincurvedspacetime.;Theworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.;Thedistancealongalightrayiszero.

Whichofthefollowingarecorrectformofgeodesicsoftheplaneinpolarcoordinates?()。

参考答案:

.;.

Thesolutionsforthegeodesicequationsforatwo-dimensionalflatplanearethestraightlines.()

参考答案:

Fromthegeodesicequation

,

whatistheChristoffelsymbol?()。

参考答案:

.

AboutthesymmetricityofChristoffelsymbol,whichstatementiscorrect?()。

参考答案:

βandγaresymmetric.

TheChristoffelsymbolsareequaltozeroinflatspacetime.()

参考答案:

Forthespacetimemetric

,

whichofthefollowingcalculationsarecorrect?()。

参考答案:

.;.

Forawormholegeometry

,

wehavetheradialequationofmotion

.

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

参考答案:

.

Thepropertimefornullgeodesicisalwayszero.()

参考答案:

Incurvedspacetime,thetrajectoryoflightisbentbythegravitationalfield.()

参考答案:

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:

第十章测试

AgravitationaltheorymusthavecorrectNewtonianlimit.()

参考答案:

Gravitationalredshiftexperimentisanimportantprobeoftheequivalenceprinciple.()

参考答案:

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:

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:

Whatisthecorrectformofthefrequencycalculationofbinaryblackholemerger?()。

参考答案:

.

WhichofthefollowingiscorrectaboutthefeatureofActiveGalaticNuclei?()。

参考答案:

Theyhaveopticalorradiojetsoutflowingmatter.;Theirspectrumisbroadandnonthermal.;Theirluminosityisveryhigh.

Hawkingradiationresultsfromvacuumfluctuationscreatingparticle-antiparticlepairinthevicintyofBHhorizon.()

参考答案:

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:

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:

WhichofthefollowingstatementaboutKerrblackholeiscorrect?(

)。

参考答案:

ThissolutionwasgivenbyKerr.

第十四章测试

Whichofthefollowingstatementsaboutgravitationalwavesarecorrect?()。

参考答案:

null

Ourcalculationinthissectionrequiresthatthegravitationalwaveisonlyasmallperturbation.()

参考答案:

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:

Whichofthefollowingarecorrect?()。

参考答案:

TheFriedmannequationswerederivedin1923.;metricassumesthatouruniverseisspatiallyflat.;theFriedmannequation,conservationequationandequationofstateareindependentfromeachother.

Whichofthefollowingarecorrectaboutthebasicobserv

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