Monochromatic ultraviolet light with intensity 550 $\mathrm{W} / \mathrm{m}^{2}$ is incident normally on the surface of a metal that has a work function of 3.44 eV. Photoelectrons are emitted with a maximum speed of 420 $\mathrm{km} / \mathrm{s}$ . (a) Find the maximum possible rate of photoelectron emission from 1.00 $\mathrm{cm}^{2}$ of the surface by imagining that every photon produces one photoelectron. (b) Find the electric current these electrons constitute. (c) How do you suppose the actual current compares with this maximum possible current?