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What is the photoelectric effect?
Exam-ready answer
The photoelectric effect is the emission of electrons from a metal surface when light of suitable frequency falls on it. Emission occurs only if the frequency is above a threshold frequency ν₀, whatever the intensity. Einstein explained it using photons: Kmax = hν − φ₀, where φ₀ = hν₀ is the work function of the metal.
Explanation
When ultraviolet light falls on a clean zinc plate, electrons called photoelectrons are emitted. Alkali metals such as sodium, potassium and caesium emit electrons even with visible light. In an evacuated tube, the emitted electrons travel from the emitter plate to a collector plate and form a photoelectric current. The negative collector potential that just stops the most energetic electrons is the stopping potential V₀, with eV₀ = Kmax.
Experiments show four facts. Photocurrent is proportional to the intensity of light. The stopping potential, and hence the maximum kinetic energy, depends on frequency but not on intensity. Below the threshold frequency ν₀ no electrons are emitted, however intense the light. Emission is practically instantaneous, even with very dim light. The wave theory of light cannot explain the last three facts.
Einstein proposed that light consists of photons, each with energy E = hν, where h = 6.63 × 10⁻³⁴ J s is Planck's constant. One photon gives all its energy to one electron. Part of it, the work function φ₀, frees the electron from the metal; the rest becomes kinetic energy: Kmax = hν − φ₀, or eV₀ = hν − φ₀. If hν < φ₀, no electron escapes. Brighter light means more photons, so more electrons, but not faster ones.
Points to remember
- Photoelectric effect: emission of electrons from a metal surface by light of suitable frequency.
- Einstein's photoelectric equation: Kmax = hν − φ₀ = eV₀.
- Work function φ₀ = hν₀: the minimum energy needed to remove an electron from the metal, usually expressed in electron volts (eV).
- Photocurrent is proportional to intensity; Kmax and V₀ depend on frequency, not on intensity.
- No emission below the threshold frequency ν₀; emission is instantaneous.
Exam tip
Write Einstein's equation Kmax = hν − φ₀ and the relation eV₀ = Kmax. Sketch the graph of stopping potential against frequency: a straight line with slope h/e that cuts the frequency axis at ν₀.
Questions students also ask
What is threshold frequency?
Why can't the wave theory explain the photoelectric effect?
What is stopping potential?
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