Answer the following, giving reasons: (a) The maximum kinetic energy of the photoelectrons is independent of the intensity of incident radiation. (b)…

Reason for

Independence of maximum kinetic energy of photoelectrons & intensity of incident radiation $\displaystyle 1$

Increase in photoelectric current with increase in intensity of incident radiation $\displaystyle 1$

Linear variation in stopping potential with frequency of incident radiation $\displaystyle 1$

With the variation in the intensity of incident radiations, there is a change in the number of photons not on the energies of the photons so the maximum kinetic energy of photoelectrons remains same.

With the increase in intensity of incident radiation number of photons increases as a result photoelectric current increase.

With the increase in frequency of incident radiation , the maximum kinetic energy of photoelectrons increases. Hence higher value of stopping potential (retarding potential) is required.

Alternatively:

\[K_{\max }=e \mathrm{~V}_{\mathrm{o}}=\mathrm{h} \nu-\mathrm{h} \nu_{\mathrm{o}} \]