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Concepts Of Physics MCQ Edition [Volume 2]PhysicsPhotoelectric Effect and Wave–Particle Duality

For a photoelectric material with a work function of 4.0 eV , calculate the wavelength of incident light that results in a stopping potential of 2.5 V .

Options

  1. A496 nm
  2. B191 nm
  3. C310 nm
  4. D827 nm

Correct answer

B. 191 nm

Step-by-step solution

According to Einstein's photoelectric equation: E = + K_ Given work function = 4.0 eV and stopping potential V₀ = 2.5 V . The maximum kinetic energy of the photoelectrons is K_ = eV₀ = 2.5 eV . The energy of the incident photon is: E = 4.0 eV + 2.5 eV = 6.5 eV The wavelength of the incident light is given by = hc E . Using hc 1240 eV nm : = 1240 6.5 191 nm

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