Explain why light below a certain frequency cannot release electrons from a metal surface, no matter how intense the light is.

AQA A-Level Physics (7408) — 3.2.2 EM Radiation and Quantum Phenomena · Explain · 5 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

The photoelectric effect cannot be explained using wave theory. Instead, physicists use a model in which light travels as discrete packets of energy called photons.

Model answer (5 marks)

Each photon interacts with one electron (one‑to‑one interaction). The energy of a photon is E = hf, so a higher frequency gives more energy per photon. Electrons in a metal require a minimum energy, the work function φ, to escape. If the light frequency is below the threshold frequency ν₀, then E = hν < φ for every photon. Increasing the intensity raises the number of photons but not their individual energy, so none have enough energy to overcome φ and no electrons are ejected.

Examiner tips

  • Use the one‑to‑one photon–electron interaction point
  • State E = hf and explain the frequency dependence
  • Mention the work function φ as the minimum energy needed
  • Explain why below ν₀ photons lack sufficient energy

Common mistakes

  • Confusing intensity with frequency, claiming higher intensity gives higher energy
  • Saying photons can share energy with multiple electrons
  • Forgetting to mention the work function φ

Mark scheme (5 marks)

  1. Each photon interacts with one electron (one-to-one interaction)
  2. The energy of a photon depends on its frequency (E = hf / higher frequency means more energy per photon)
  3. Electrons need a minimum amount of energy (the work function) to escape the metal surface
  4. Below the threshold frequency, each photon does not have enough energy to overcome the work function
  5. Increasing intensity increases the number of photons but not the energy of each photon, so electrons are still not released

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