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AP EAMCET2002PhysicsDual Nature of Matter

Two photons of energies twice and thrice the work function of a metal are incident on the metal surface. Then, the ratio of maximum velocities of the photoelectrons emitted in the two cases respectively, is

Options

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

Correct answer

D. 1: 2

Step-by-step solution

Let the work function of the metal be W Then energy of Ist photon E₁=2 W Energy of IInd photon E₂=3 ~W Maximum KE of photoelectron ( KE )_ =E-W (Einstein's equation) For first photon ( KE ₁ )_ =2 W-W=W For second photon ( KE ₂ )_ =3 W-W aligned & =2 W ( K E ₁ )_ ( K E ₂ )_ & = 1 2 aligned array r 1 2 m v₁^2 1 2 m v₁^2 = 1 2 v₁ v₂ = 1 2 v₁: v₂=1: 2 array

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