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Question 67 of 96

Q.The stopping potential of a metal surface is independent of :

(a) the nature of the metal surface
(b) frequency of incident radiation
(c) velocity of the electrons emitted
(d) intensity of incident radiation
Tamil Nadu DgeTamil Nadu HSC (DGE) Board 2018MCQ· 1mImportance★★★★★
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The stopping potential is independent of the intensity of the incident radiation.

By Einstein's photoelectric equation, eV0=hν−ϕ0eV_0 = h\nu - \phi_0, where V0V_0 is the stopping potential, ν\nu is the frequency of the incident radiation, and ϕ0\phi_0 is the work function of the metal surface. From this:

  • V0V_0 depends on the frequency ν\nu of the incident radiation (option b) — a higher frequency gives a higher stopping potential.
  • V0V_0 depends on the nature of the metal surface (option a), through its work function ϕ0\phi_0.
  • V0V_0 fixes the maximum kinetic energy (and hence maximum velocity) of the emitted photoelectrons, since eV0=12mvmax2eV_0 = \frac12 m v_{max}^2 (option c) — so it is tied to, not independent of, the velocity of the fastest electrons. …
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