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Photoelectric equation

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Photoelectric equation

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Solution

The photoelectric equation, also known as Einstein's photoelectric equation, describes the behavior of photons (light particles) when they interact with electrons in a metal object. The equation is as follows:

E_k = hf - Φ

where:

  • E_k is the kinetic energy of the ejected electron (measured in joules in the SI system),
  • h is Planck's constant (approximately 6.626 x 10^-34 joule seconds),
  • f is the frequency of the incident light (measured in hertz in the SI system), and
  • Φ is the work function of the metal (also measured in joules in the SI system).

The work function Φ is the minimum energy required to remove an electron from the metal. If the energy of the incoming photon (hf) is less than Φ, no electron is ejected. If hf is greater than Φ, an electron is ejected with kinetic energy E_k equal to the difference (hf - Φ).

The photoelectric equation is a cornerstone of quantum mechanics and was instrumental in the development of the concept of wave-particle duality.

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