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MHT CET20242 May 2024Morning ShiftPhysicsDual Nature of MatterActual

When a metallic surface is illuminated with a radiation of wavelength ' ', the stopping potential is ' V '. If' the same surface is illuminated with radiation of wavelength ' 3 ', the stopping potential is " ( V 6 ) '. The threshold wavelength for the surface is

Options

  1. A3
  2. B4
  3. C5
  4. D6

Correct answer

C. 5

Step-by-step solution

From Einstein's equation, h = e V ₀+ h ₀ hc - hc ₀ = eV ₀ case (i) = ; V ₀= V hc - hc ₀ = eV case (ii) =3 ; V ₀= V 6 hc 3 - hc ₀ = eV 6 aligned & dividing equation (i) by equation (ii) & ( hc - hc ₀ ) ( hc 3 - hc ₀ ) =6 & 1 - 1 ₀ =6 ( 1 3 - 1 ₀ ) & 1 - 1 ₀ = 2 - 6 ₀ & -1 ₀ + 6 ₀ = 2 - 1 aligned 5 ₀ = 1 ₀=5

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