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MHT CET202619 April 2026Morning ShiftPhysicsDual Nature of MatterActual

A photoelectric surface is illuminated successively by monochromatic light of wavelength and ( /3) . If the maximum kinetic energy of the emitted photo electrons in the second case is 4 times that in the first case, the work function of the surface of the material is ( h = Planck's constant, c = speed of light)

Options

  1. A3hc
  2. Bhc 3
  3. Chc 2
  4. Dhc

Correct answer

B. hc 3

Step-by-step solution

Using Einstein's photoelectric equation, the maximum kinetic energy of emitted photoelectrons is given by K = hc - , where is the work function of the material. For the first case with wavelength : K₁ = hc - For the second case with wavelength 3 : K₂ = hc 3 - = 3hc - It is given that the maximum kinetic energy in the second case is 4 times that in the first case: K₂ = 4K₁ Substituting the expressions for K₁ and K₂ : 3hc - = 4 ( hc - ) 3hc - = 4hc - 4 4 - = 4hc - 3hc 3 = hc = hc 3

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