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※ 引述《cscscscs22 (QQQ)》之銘言: : A 80Mev photon is elastically scattered by a proton that is at rest : what's the max possible energy loss for the photon : (the compton wavelenth of electron is 2.4 X10^-12) : Ans.68.5Mev : 算了老半天算不出來 : 哭哭 λ'-λ=h/Mc(1-cosθ) cosθ=-1時λ'最大,ν'最小→光子能量最小,損失最大 得λ'=λ+2h/Mc 碰撞後光子能量 右邊上下同除λ E'=hν'=hc/λ'=(hc/λ)(λ/λ')=(hc/λ)[λ/(λ+2h/Mc)]=(hc/λ)[1/(1+(2h/Mcλ))] 通分乘上c → =(hc/λ)[1/(1+(2hc/Mc^2λ))]=(pc)[1/(1+2pc/Mc^2)] (1) 碰撞前 E=hν=pc=80Mev ,質子靜止能量 Mc^2=938Mev 代入(1)式可得E'=68.34Mev △E=E-E'=80-68.34=11.66Mev -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 61.57.79.69