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Which of the following equations corresponds to photoelectric effect ?

  • A.\(h_{\lambda} = W_{0} + K.E\)
  • B.\(h\nu = W_{0} - K.E\)
  • C.\(h\nu = W_{0} + K.E\)
  • D.\(h_{\lambda} = W_{0} - K.E\)

Answer: C

The photoelectric equation is hν = W0 + K.E.

A photon of energy hν is absorbed by an electron in the metal. Part of the energy, the work function W0, is needed to free the electron from the surface; the remainder becomes the electron's kinetic energy. So hν = W0 + K.E, and electrons are emitted only when hν exceeds W0.

The forms with a minus sign would make the kinetic energy larger than the photon energy can supply, and the forms written with 'hλ' are not meaningful: the photon energy is hν, or hc/λ in terms of wavelength.

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