Physic Labs

Problem 3

A metal of work function W0W_0 is illuminated by monochromatic light of frequency ff; photoemission occurs only if a photon has enough energy. Let Planck's constant be hh, the electron charge magnitude be ee, and define positive stopping voltage VsV_s as the voltage just sufficient to stop the fastest electron. (a) Find threshold frequency f0f_0. (b) Express maximum kinetic energy Kmax⁡K_{\max} in terms of ff and give the emission condition. (c) Find VsV_s and describe the slope and intercept of a plot of VsV_s versus ff on the emission range.
hf0=W0hf_0=W_0
problems.proof.analysis

At threshold an electron just escapes the surface with zero kinetic energy. The photon energy therefore equals the work function.