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MHT CET202616 April 2026Morning ShiftPhysicsDual Nature of MatterActual

For a photosensitive material, work function is ' W₀ ' and stopping potential is 'V'. The wavelength of the incident radiation is (h=Planck's constant, c = velocity of light, e = electronic charge)

Options

  1. Ahc ( W ₀ - eV )
  2. Bhc ( W ₀ + eV )
  3. Chc ( W ₀ - eV )
  4. Dhc ( W ₀ + eV )

Correct answer

B. hc ( W ₀ + eV )

Step-by-step solution

According to Einstein's photoelectric equation: E = W₀ + K_ max where E is the energy of the incident radiation, W₀ is the work function, and K_ max is the maximum kinetic energy of the emitted photoelectrons. The maximum kinetic energy is related to the stopping potential V by: K_ max = eV The energy of the incident radiation is given by: E = hc Equating the expressions for E : hc = W₀ + eV Solving for : = hc W₀ + eV Answer: hc ( W ₀ + eV )

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