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MHT CET202618 April 2026Evening ShiftPhysicsDual Nature of MatterActual

The maximum kinetic energies of photoelectrons emitted are K₁ and K₂ when light of wavelength ₁ and ₂ respectively are incident on a metallic surface. If ₁ = 3 ₂ then

Options

  1. AK₁ = K₂ 3
  2. BK₁ < K₂ 3
  3. CK₁ = 3K₂
  4. DK₁ = 2 3 K₂

Correct answer

B. K₁ < K₂ 3

Step-by-step solution

According to Einstein's photoelectric equation, the maximum kinetic energy of emitted photoelectrons is given by K = hc - , where is the work function of the metal. For wavelength ₁ : K₁ = hc ₁ - For wavelength ₂ : K₂ = hc ₂ - Given ₁ = 3 ₂ , substituting this in the first equation gives: K₁ = hc 3 ₂ - Multiplying the equation by 3 yields: 3K₁ = hc ₂ - 3 From the second equation, substituting hc ₂ = K₂ + into the above relation: 3K₁ = (K₂ + ) - 3 3K₁ = K₂ - 2 Since the work function > 0 , it follows that: 3K₁ K₁ An

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