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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
Puducherry TnboardTamil 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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