In an experiment

PHYSICS · Single correct · A Level · Physics · Particles and radiation · Particles and radiation

Problem

In an experiment, increasing the intensity of red light on a clean metal surface produces no emission of electrons, but switching to violet light of much lower intensity immediately ejects electrons. Which statement best explains the existence of a threshold frequency in this experiment? (a) Electrons can be emitted only if several low-energy photons strike the same electron at the same instant, so intensity rather than frequency sets the threshold. (b) Each photon must individually have energy E=hfE=hf at least equal to the metal’s work function ϕ\phi before any electron can be released. (c) Below the threshold, photons lack sufficient momentum p=hλp=\tfrac{h}{\lambda} to give electrons the impulse needed to escape the surface. (d) Higher-frequency light creates a larger electric-field amplitude that pulls electrons out of the metal even if the photon energy is unchanged.

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