A parallel beam of mono-chromatic radiation of cross-section area $A\left(

Question

A parallel beam of mono-chromatic radiation of cross-section area $A\left(<\pi a^2\right)$, intensity $I$ and frequency $v$ is incident on a solid conducting sphere of work function $\phi_0\left(h v>\phi_0\right)$ and radius $a$. The sphere is grounded by a conducting wire. Assume that for each incident photon, one photoelectron is ejected. Just after this radiation is incident on initially unchanged sphere the current through the conducting wire is

Professor PC Thomas Classes · Answer

(a) : Energy of each incident photon $=h v$. Total energy incident per second on sphere $=I A$ $	herefore \quad$ No. of photons incident on sphere per second $=\frac{I A}{h v}$ $	herefore \quad$ No. of photoelectrons ejected per second $=\frac{I A}{h v}$ Current through the conducting wire $=$ charge flowing per second through wire $=\frac{I A e}{h v}$