Answer to Question #175509 in Quantum Mechanics for Arshad Hussain

Question

Calculate the maximum wavelength shift of a photon that undergoes Compton scattering from a free electron.

Answer 1

$\lambda'-\lambda=\frac{h}{mc}(1-cos \theta),$

$(\lambda'-\lambda)_{max}=\frac{h}{mc}=\frac{6.63\cdot 10^{-34}}{9.11\cdot 10^{-31}\cdot 3\cdot 10^8}=2.43\cdot 10^{-12}~m.$