Practicing Success
We now study the relation between the frequency \(\nu \) of the incident radiation and the stopping potential V0. We suitably adjust the same intensity of light radiation at various frequencies and study the variation of photocurrent with collector plate potential. The resulting variation is shown in figure (a). We obtain different values of stopping potential but the same value of the saturation current for incident radiation of different frequencies. The energy of the emitted electrons depends on the frequency of the incident radiations. The stopping potential is more negative for higher frequencies of incident radiation. Note from the figure that the stopping potentials are in the order V03 > V02 > V01 if the frequencies are in the order \(\nu \)3 > \(\nu \)2 > \(\nu \)1. This implies that greater the frequency of incident light, greater is the maximum kinetic energy of the photoelectrons. Consequently, we need greater retarding potential to stop them completely. If we plot a graph between the frequency of incident radiation and the corresponding stopping potential for different metals we get a straight line, as shown in figure (b).
(a)
(b) |
What is the relation between the maximum kinetic energy (Kmax) and the retarding potential (V0)? |
Kmax = V0/e Kmax = eV0 Kmax = \(\sqrt{eV_{0}}\) None of the above |
Kmax = eV0 |
The maximum kinetic energy is given by Kmax = eV0 where V0 is the retarding potential. |