Physic Labs

Problem 3

An atom of mass MM, initially at rest, absorbs a photon of wavelength λ\lambda. Assuming Mc2≫hc/λMc^2\gg hc/\lambda, find its approximate recoil speed; hh is Planck’s constant and cc the speed of light. (a) State the assumptions and establish the governing equation for the requested quantity. (b) Solve it in terms of the given symbols, identifying the direction, sign, or physical nature of the result. (c) Check a simple limiting case and state when the model remains valid. Use SI units consistently, retain the symbols in the setup, and enforce all geometric constraints and initial conditions.
v≪cv\ll c
problems.proof.analysis

This follows from the physical law and assumptions in the problem.

problems.proof.pitfall. Do not discard an initial condition or stated constraint; an algebraic root outside the physical domain is not an answer.