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AP EAMCET · PHYSICS · Dual Nature of Matter

A photon incident on a metal of work function 2 eV produced photo electron of maximum kinetic energy of 2 eV . The wavelength associated with the photon is

  1. A \(6200 Å\)
  2. B \(3100 Å\)
  3. C \(9300 Å\)
  4. D \(2000 Å\)
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Correct Answer

(B) \(3100 Å\)

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Detailed explanation

For the metal, \(\phi_0=2 \mathrm{eV}, \mathrm{k}_{\max }=2 \mathrm{eV}\) By Einstein's photoelectric equation, \(\mathrm{E}=\phi_0+\mathrm{k}_{\max }=2+2=4 \mathrm{eV}\) \(\therefore \quad\) Wavelength of the photon is \(\lambda=\frac{12400 \mathrm{eV}-Å}{4 \mathrm{eV}}=3100 Å\)
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