Problem 3
A photon of wavelength is backscattered through 180° by a free electron initially at rest. Given electron mass , Planck's constant , and light speed , find the scattered wavelength, the energy transferred to the electron, and the condition for the electron kinetic energy to equal the incident photon energy. Model each stage with the appropriate conservation law or equation of motion; quantities stated as constant remain fixed during that stage. (a) Establish the governing physical relation for each stage. (b) Determine the requested observables from the stated initial conditions and constraints. (c) Check signs, dimensions, and the physical limiting behavior of the results.
problems.proof.stepOf
problems.proof.analysis
Apply the model consistently to each part, then check dimensions and physical limits.