Solution-Quantum Physics

《Solution-Quantum Physics》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、SOLUTIONSMANUALCHAPTER11.TheenergycontainedinavolumedVis2U(,T)dVU(,T)rdrsinddwhenthegeometryisthatshowninthefigure.TheenergyfromthissourcethatemergesthroughaholeofareadAisdAcosdE(,T)U(,T)dV24rThetotalenergyemittedisct/22dAdE(,T)0dr0ddU(,T)sincos04dA/22ctU(,T)dsinco

2、s.401ctdAU(,T)4Bydefinitionoftheemissivity,thisisequaltoEtdA.HencecE(,T)U(,T)42.Wehavecc8hc1w(,T)U(,T)

3、d/d

4、U()25hc/kTe1Thisdensitywillbemaximalwhendw(,T)/d0.WhatweneedisA/d1111eA1(5())0d5eA/165eA/12eA/1WhereAhc/kT.TheaboveimpliesthatwithxA/,we

5、musthavex5x5eAsolutionofthisisx=4.965sothathc3T2.89810mmax4.965kInexample1.1weweregivenanestimateofthesun’ssurfacetemperatureas6000K.Fromthisweget4sun28.9810mK74.8310m483nmmax3610K3.TherelationshipishKWwhereKistheelectronkineticenergyandWistheworkfunction.He

6、re348hc(6.62610J.s)(310m/s)19h5.6810J3.55eV935010mWithK=1.60eV,wegetW=1.95eV4.WeusehchcKK1212sinceWcancels.From;thisweget112h(KK)12c2199(20010m)(25810m)(2.30.9)eV(1.601019)J/eV89(310m/s)(5810m)346.6410J.s5.Themaximumenergylossforthephotonoccursinahead-on

7、collision,withthephotonscatteredbackwards.Lettheincidentphotonenergybeh,andthebackward-scatteredphotonenergybeh'.LettheenergyoftherecoilingprotonbeE.Thenits2224recoilmomentumisobtainedfromEpcmc.Theenergyconservationequationreads2hmch'Eandthemomentumconservationequationreadshh'p

8、ccthatishh'pc2WegetEpcmc2hfromwhichitfollowsthat222422pcmc(2hpcmc)sothat2224h4hmcpc24h2mcTheenergylossforthephotonisthekineticenergyoftheproton22KEmc.Nowh=100MeVandmc=938MeV,sothatpc182MeVand2EmcK17.6MeV6.Lethbetheincidentphotonenergy,h'thefinalphotonener

9、gyandptheoutgoingelectronmomentum.Energyconservationreads22224hmch'pcmcWewritetheequationformomentumconservation,assumingthattheinitialphotonmovesinthex–directionandthefinalphotoninthey-direction.Whenmultip