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Einstein’s Photoelectric Equation: Energy Quantum of Radiation

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Estimated time: 4 minutes
CBSE: Class 12

Key Points: Einstein's Photoelectric Equation: Energy Quantum of Radiation

  • Einstein proposed that light consists of quanta (photons), each with energy E = .
  • When a photon of energy hν falls on a metal, it is completely absorbed by one electron.
  • The electron uses energy Φ (work function) to escape, and the rest appears as kinetic energy.

Einstein's Photoelectric Equation: Kmax = hν − ϕ0

or equivalently: \[\frac{1}{2}mv_{max}^2=h\nu-h\nu_0=h(\nu-\nu_0)\]

  • If ν < ν0: v2 is negative → imaginary velocity → no photoelectric emission possible.
  • If ν > ν0: v2 is positive → emission occurs.
  • Increasing intensity → more photons → more electrons, but same KE per electron.
  • Increasing frequency → more energy per photon → higher KE of emitted electrons.
  • Photoelectric emission is a 'knock-out' process: one photon knocks out one electron with KE = ½mv².

Important Note on Photocurrent vs Frequency:

  • Increasing frequency does NOT increase the number of photoelectrons → photocurrent does not increase with frequency.
  • Photocurrent depends only on the number of photons (i.e., intensity).

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