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NEETPhysicsDual Nature of Matter

A photosensitive surface has a threshold frequency ₀ and work function W . When illuminated by monochromatic light, the maximum kinetic energy of the emitted photoelectrons is observed to be 2W . The frequency of the incident light is:

Options

  1. A2 ₀
  2. B3 ₀
  3. C4 ₀
  4. D₀

Correct answer

B. 3 ₀

Step-by-step solution

According to Einstein's photoelectric equation: K_ max = h - W Given that the maximum kinetic energy K_ max = 2W , we can substitute this into the equation: 2W = h - W Rearranging the terms gives: h = 3W Since the work function W is related to the threshold frequency ₀ by W = h ₀ , we have: h = 3h ₀ = 3 ₀ Thus, the frequency of the incident light is 3 ₀ . Answer: 3 ₀

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