Problem 3
Monochromatic light of frequency f illuminates a metal with work function W. In Einstein’s model, each electron absorbs one photon of energy hf; the maximum kinetic energy K_max of emitted electrons is measured, with material losses neglected. (a) Write energy conservation for an emitted electron. (b) Find K_max and threshold frequency f₀, and state the emission condition. (c) Give stopping potential V_s and explain how increasing intensity at fixed above-threshold frequency affects emission. Use SI units throughout and treat components as ideal exactly as specified. State sign conventions when writing equations and retain units in final results.
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Collect results in the order asked. Dimensions and physical signs provide independent checks; they do not replace the derivation but can expose algebraic errors.