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MHT CET202123 Sep 2021Evening ShiftPhysicsDual Nature of MatterActual

When wavelength of incident radiation on the metal surface is reduced from ' ₁ ' to ' ₂ ' the kinetic energy of emitted photoelectrons is tripled. The work function of metal [ h = Plank 's constant, c = velocity of light]

Options

  1. Ahc 2 [ 3 ₁- ₂ ₁ ₂ ]
  2. Bhc 2 [ 3 ₂- ₁ ₁ ₂ ]
  3. Chc [ 3 ₁- ₂ ₁ ₂ ]
  4. Dhc [ 3 ₂- ₁ ₁ ₂ ]

Correct answer

B. hc 2 [ 3 ₂- ₁ ₁ ₂ ]

Step-by-step solution

Let K represent kinetic energy aligned & K ₁= hc ₁ - W ₀ & and K ₂= hc ₂ - W ₀ & ~K ₂=3 ~K ₁ & hc ₂ - W ₀=3 hc ₁ -3 ~W ₀ & 2 ~W ₀= 3 hc ₁ - hc ₂ & W ₀= hc 2 ( 3 ₂- ₁ ₁ ₂ ) aligned

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