All Problems

Thermal Radiation. Quantum Nature of Light.

Problem 5.285

A photon of wavelength \(\lambda=6.0 \mathrm{pm}\) is scattered at right angles by a stationary free electron. Find: (a) the frequency of the scattered photon; (b) the kinetic energy of the Compton electron.

Reveal Answer
5.285. (a) \(\omega^{\prime}=2 \pi c /(\lambda+2 \pi \hbar / m c)=2.2 \cdot 10^{20} \mathrm{rad} / \mathrm{s}\) (b) \(T=\frac{2 \pi c \hbar / \lambda}{1+\lambda m c / 2 \pi \hbar}=60 \mathrm{keV}\).