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BITSAT2012PhysicsDual Nature of MatterActual

A light having wavelength 300 nm fall on a metal surface. The work function of metal is 2.54 eV , what is stopping potential?

Options

  1. A2.3 ~V
  2. B2.59 ~V
  3. C1.59 ~V
  4. D1.29 ~V

Correct answer

C. 1.59 ~V

Step-by-step solution

Energy of incident radiation is given by: ( E = hc = 6.64 * 10⁻³⁴ * 3 * 10⁸ 300 * 10⁻⁹ =6.64 * 10⁻¹⁹=4.05 eV ) The work function of the metal is equal to (2.54 eV ) Hence the maximum kinetic energy of an ejected photoelectron would be (1.59 eV ) And the stopping potential needed to stop this would be (1.59 ~V ).

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