国际物理林匹克竞赛试题Experiment1and2SolutionSUMMARYSHEET.doc

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1、SUMMARYSHEETEXPERIMENT11.FORWATERANDREDLIGHTATEXTREMEENDOFSPECTRUMk=1FirstOrderRainbowθ1=129.0°137.0°1=137.0±5.0°k=2SecondOrderRainbowθ2=129.0°2=231.0±3.0°k=5FifthOrderRainbowθ5=126.0°5=486.0±4.0°2.LIQUIDSAANDBUSINGSECONDORDERRAINBOWSForLiquidAθ2=105.0°2=255.0±3.0°ForLiquidBθ2=89.5°2=270

2、.5±3.0°Forn=1θ2=0.0..o2=0.0..oGradientofgraph=0.84±0.07Extrapolated,n=2,θ2,valueof=304±25o500400300200100k012345FigureE1.1.1/n1.00.90.80.70.60.70.80.91.0ExacttheoryvalueFigureE1.2SUMMARYSHEETEXPERIMENT2Isthetotalmomentumconserved?YES/NOAccuracyofcomputercalculation0.002%0:1(RMSvelocity=

3、0.1)TimeTotalEnergy0-1.614992-1.628864-1.628786-1.6230112-1.6288218-1.6259924-1.6279630-1.6270350-1.6275370-1.6267690-1.62580130-1.62713180-1.62409Doesthesystemconserveenergy?YES/NO(~±1%)EquilibriumvalueofEk*EquilibriumtimeSD(Average24to180)(seeFig.E2.1)=0.534±0.05(10to20)ValueofSrecorde

4、d>20,e.g.60Valueof(forSD=60)(seeFig.E2.2)=0.503Accuracyof=±0.02Forwhattimenumberrangeisgraph,obtainedusingfirstvalueofSR,linear?SZ=18to24Gradientofthisgraphinlinearregion0.027to0.47Accuracyofgradient=0.002GradientofAVERAGEinlinearregion=0.035Accuracyofthisgradient=±0.01*deleteasappro

5、priateIsthesystemaliquid/solid?Liquid/Solid*MeanMomentumofthesystematrequestedsteps(S)S00.0.0.0.400.0.0.0..p.E.800.0.0.0.1200.0.0.0.1600.0.0.0.-2-3K.E.Energyofthesystematrequestedsteps(S)S=T*=TotalEnergy00.0.0.-4.-1.6149920.0.0.-4.-1.6288640.0.0.

6、-4.-1.62878¢080120time$60.0.0.-3.-1.62301120.0.0.-4.-1.62882FigureE2.1180.0.0.-4.-1.62599240.0.0.-4.-1.62796VariationofK.EandP.E300.0.-4.-1.62703500.0.0.-4.-1.62753700.0.0.-4.-1.62676900.0.0.-4.-1.625801300.0.0.-4.-1.627131800.0.0.-4.-1.62409Allvaluesareinreducedunits.isthemeankineti

7、cenergyperatom.istwicethepotentialenergy.andarethemeanvaluesofthesquaresoftheXandYvelocitycomponents,asdescribedinthequestion.Similarlyandarethemeanvaluesofthevelocitycomponents.andarethemeanmomentumperparticle.04080120160FigureE2.1Vari