All Problems

Thermal Radiation. Quantum Nature of Light.

Problem 5.291

A photon with energy exceeding η=2.0\eta=2.0 times the rest energy of an electron experienced a head-on collision with a stationary free electron. Find the curvature radius of the trajectory of the Compton electron in a magnetic field B=0.12T.B=0.12 T . The Compton electron is assumed to move at right angles to the direction of the field.

Reveal Answer
ρ=2η(1+η)mc(1+2η)eB=3.4 cm\rho=\frac{2 \eta(1+\eta) m c}{(1+2 \eta) e B}=3.4 \mathrm{~cm}