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Thermal Radiation. Quantum Nature of Light.

Problem 5.285

A photon of wavelength λ=6.0pm\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) ω′=2πc/(λ+2πℏ/mc)=2.2⋅1020rad/s\omega^{\prime}=2 \pi c /(\lambda+2 \pi \hbar / m c)=2.2 \cdot 10^{20} \mathrm{rad} / \mathrm{s} (b) T=2πcℏ/λ1+λmc/2πℏ=60keVT=\frac{2 \pi c \hbar / \lambda}{1+\lambda m c / 2 \pi \hbar}=60 \mathrm{keV}.
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