Problem 3
In vacuum, photons of energy scatter from electrons initially at rest through angle . State the Compton wavelength-shift relation using electron mass and light speed . Assume ideal objects and components, neglect unstated losses, and use SI units. (a) Derive the primary requested quantity from the appropriate law. (b) Analyze quantitatively how the result depends on the given parameters. (c) Check a physically meaningful limiting case and explain its meaning. State sign conventions, show reasoning, and check dimensions. (a) Calculate the requested quantity from the data. (b) Give the law or expression showing parameter dependence. (c) Examine a limit consistent with the model.
problems.proof.stepOf
problems.proof.analysis
A limiting case can expose a sign error or missing constraint; an implausible limit calls for checking the model and algebra.