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NEET2021PhysicsDual Nature of MatterActual

An electromagnetic wave of wavelength λ is incident on a photosensitive surface of negligible work function. If m mass is of photoelectron emitted from the surface has de-Broglie wavelength λ d , then :

Options

  1. Aλ = 2   m h c λ d 2
  2. Bλ d = 2 m c h λ 2
  3. Cλ = 2 m c h λ d 2
  4. Dλ = 2 h m c λ d 2

Correct answer

C. λ = 2 m c h λ d 2

Step-by-step solution

From Einstein's equation, E i n c i d e n t = ϕ + k E m a x h f = 0 + 1 2 m v 2 h c λ = p 2 2 m ⇒ p = 2 m h c λ λ d = h p = h 2 m h c λ = λ h 2 m c ⇒ λ = 2 m c h λ d 2

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