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Physics

Photoelectric effect and light quanta

Photoelectric effect

Photoelectric effect: the emission of electrons from a substance under the action of light.

Einstein's equation:

hν = A_ch + E_k,max

Here h = 6,63·10⁻³⁴ J·s (Planck's constant), A_ch is the work function.

Threshold frequency

  • Threshold (red limit) frequency: ν_min = A_ch/h.
  • If the frequency is less than ν_min, no photoelectric effect occurs.
  • This does not depend on intensity: no matter how strong the light is, no electrons are emitted at a low frequency.

Photon

Quantity Formula
Photon energy E = hν = hc/λ
Photon momentum p = h/λ

Light is a stream of quanta (photons).

History

  • The photoelectric effect was observed by Hertz (1887).
  • Its laws were studied by A. G. Stoletov.
  • It was explained by Einstein (1905), for which he received the 1921 Nobel Prize.

Calculation method: the energy of the emitted electron is E_k = hν − A_ch. The units must be the same: both sides in joules or both in electronvolts.

  1. Find the photon energy: hν
  2. Subtract the work function: A_ch
  3. What remains is E_k,max