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Photoelectric Effect: Einstein's Equation question from NEET 2013

Q149NEET 2013Easy

Photoelectric Effect: Einstein's Equation

For photoelectric emission from certain metal the cutoff frequency is vv. If radiation of frequency 2ν\nu impinges on the metal plate, the maximum possible velocity of the emitted electron will be (m is the electron mass)

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Answer: (a)

  1. 12mvmax2=h(2ν)−hν=hν\frac{1}{2}mv_{max}^2 = h(2\nu) - h\nu = h\nu
  2. vmax=2hνmv_{max} = \sqrt{\frac{2h\nu}{m}}
  3. So the answer is (a) 2hνm\sqrt{\frac{2h\nu}{m}}.
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