Assume the photodiode of this problem as an ideal structure with \(100 \%\) quantum efficiency and area \(1 \mathrm{~cm}^{2}(=1 \mathrm{~cm} \times 1 \mathrm{~cm})\). In addition, assume it is illuminated by monochromatic light with a wavelength of \(780 \mathrm{~nm}\) and with a power density of \(1000 \mathrm{~W} / \mathrm{m}^{2}\). At \(300 \mathrm{~K}\), the open-circuit voltage is \(0.683 \mathrm{~V}\).

(a) What is its reverse saturation current, \(I_{0}\) ?

(b) What is the load resistance that allows maximum power transfer?

(c) What is the efficiency of this photodiode with the load above?