Write and explain Einstein's equation of the photoelectric effect.

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Understand the Problem

The question is asking to write down and explain the Einstein's equation of the photoelectric effect. Essentially this question is looking for the relationship between energy of an incident photon and the kinetic energy of emitted electrons in the photoelectric effect.

Answer

Einstein's photoelectric equation is: `hv - hv₀ = 1/2 m v²_max`, which describes the energy of emitted electrons when light hits a material.

Einstein's photoelectric equation is:

hv - hv₀ = 1/2 m v²_max

Where:

  • h is Planck's constant,
  • v is the frequency of the incident photon,
  • v₀ is the threshold frequency,
  • m is the mass of the electron, and
  • v_max is the maximum velocity of the emitted electron.
Answer for screen readers

Einstein's photoelectric equation is:

hv - hv₀ = 1/2 m v²_max

Where:

  • h is Planck's constant,
  • v is the frequency of the incident photon,
  • v₀ is the threshold frequency,
  • m is the mass of the electron, and
  • v_max is the maximum velocity of the emitted electron.

More Information

The photoelectric effect is a phenomenon where electrons are emitted from a material when light of sufficient frequency shines on it. This equation explains that the energy of the incident photon (hv) is used to overcome the work function (hv₀) and provide kinetic energy (1/2 m v²_max) to the emitted electron.

Tips

A common mistake is not understanding the meaning of each of the variables and the threshold frequency.

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