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MHT CET20239 May 2023Evening ShiftPhysicsDual Nature of MatterActual

When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are v₁ and v₂ respectively. The ratio v₁: v₂ is

Options

  1. A2 : 1
  2. B3 : 1
  3. C3 : 2
  4. D1: 2

Correct answer

D. 1: 2

Step-by-step solution

array ll & K E _ = h v- ₀ & Given, & E ₁=2 ₀ and E ₂=3 ₀ & K E ₁=2 ₀- ₀= ₀ & K E ₂=3 ₀- ₀=2 ₀ & but, K E ₁= 1 2 mv ₁^2 and K E ₂= 1 2 mv ₂^2 & K E ₁ ~K E ₂ = v ₁^2 v ₂^2 = 1 2 & v ₁ v ₂ = 1 2 array

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