Problem 3

Light of wavelength

\lambda

illuminates a metal with work function

W

, where

hc/\lambda>W

. Given Planck's constant

h

and light speed

c

, find the maximum photoelectron kinetic energy, stopping potential, and threshold wavelength. 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.prevStep problems.proof.nextStep

\boxed{\lambda_0=\frac{hc}{W},\qquad \lambda<\lambda_0}

problems.proof.analysis

Apply the model consistently to each part, then check dimensions and physical limits.