All Problems

Thermal Radiation. Quantum Nature of Light.

Problem 5.290

A photon with energy \(\hbar \omega=0.15 \mathrm{MeV}\) is scattered by a stationary free electron changing its wavelength by \(\Delta \lambda=3.0 \mathrm{pm}\). Find the angle at which the Compton electron moves.

Reveal Answer
tan⁡φ=4πℏ/mcΔλ−11+ℏω/mc2,φ=31∘\tan \varphi=\frac{\sqrt{4 \pi \hbar / m c \Delta \lambda-1}}{1+\hbar \omega / m c^{2}}, \varphi=31^{\circ}