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MHT CET202122 Sep 2021Morning ShiftPhysicsDual Nature of MatterActual

When a light of wavelength ' ' falls on the emitter of a photocells, maximum speed of emitted photoelectrons is ' V . If the incident wavelength is changed to 2 3 , maximum speed of emitted photoelectrons will be

Options

  1. Aless than (1.5)^ 1 / 2 ~V
  2. BV
  3. Cgreater than (1.5)^ 1 / 2 ~V
  4. DV

Correct answer

C. greater than (1.5)^ 1 / 2 ~V

Step-by-step solution

( K . E .)₁= hc ₁ - W ₀ Multiplying by 3 / 2 aligned & 3 2 ( ~K . E .)₁= 3 2 hc ₁ - 3 2 ~W ₀ ...(1) & ( ~K . E .)₂= hc ₂ - W ₀ & ( ~K . E .)₂= 3 2 hc ₁ - W ₀ ...(2) aligned By equation (1) and (2) aligned & ( K E )₂= 3 2 ( ~K E )₁+ 1 2 ~W ₀ & or 1 2 mv ₂^2> 3 2 ( 1 2 mv ₁^2 ) & v ₂^2> 3 2 v ₁^2 & v ₂>(1.5)^ 1 / 2 v ₁ aligned

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