Problem 3
Light of frequency illuminates a metal with work function . Find the maximum photoelectron kinetic energy and stopping potential; use Planck constant and electron charge magnitude . Each photon carries energy ; electrons are emitted only when the light exceeds the threshold frequency. (a) Find threshold frequency . (b) For , find maximum kinetic energy . (c) Find stopping potential and state the emission condition. Express each answer in terms of the supplied parameters, using SI units for any numerical evaluation. State the assumptions used, check dimensions at each result, and compare with the governing law to catch a sign error or a missing condition.
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The final part requires an independent relation from kinematics, a constitutive law, or a boundary condition. It extends the solution to a quantity not fixed by the earlier equations.