Calculate the maximum wavelength shift of a photon that undergoes Compton scattering from a free electron.
λ′−λ=hmc(1−cosθ),\lambda'-\lambda=\frac{h}{mc}(1-cos \theta),λ′−λ=mch(1−cosθ),
(λ′−λ)max=hmc=6.63⋅10−349.11⋅10−31⋅3⋅108=2.43⋅10−12 m.(\lambda'-\lambda)_{max}=\frac{h}{mc}=\frac{6.63\cdot 10^{-34}}{9.11\cdot 10^{-31}\cdot 3\cdot 10^8}=2.43\cdot 10^{-12}~m.(λ′−λ)max=mch=9.11⋅10−31⋅3⋅1086.63⋅10−34=2.43⋅10−12 m.
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