Problem 3
A photon of wavelength λ Compton-scatters from a free electron at rest; the scattered direction is at angle θ. Find final wavelength and maximum shift; electron mass mₑ. Use the stated ideal model: quantities are constant or vary only as specified, with no extra drag, losses, or external influences. State a sign convention, keep units consistent, and use a classical approximation only where appropriate. (a) Set up the governing equation from a fundamental law. (b) Solve for the requested quantity under the stated conditions. (c) Check the result using a suitable limit, sign, or unit test, and report both the expression and its physical meaning.Let E_i,E_f be the photon energies before and after scattering and p_i,p_f their momentum magnitudes; E_e,p_e are the scattered electron’s total energy and momentum magnitude.
problems.proof.stepOf
problems.proof.analysis
Choose the physical system and sign convention specified in the problem, then identify the ideal assumptions. This fixes which forces, currents, or quantities can be exchanged during the process.