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Two metallic plates A and B each of area \( 5 \times 10^{-4} \mathrm{~m}^{2} \), are placed at a separation of \( 1 \mathrm{~cm} \). Plate B carries a positive charge of \( 33.7 \times 10^{-12} \mathrm{C} \). A monochromatic beam of light, with photons of energy \( 5 \mathrm{eV} \) each,
P starts falling on plate \( \mathrm{A} \) at \( \mathrm{t}=0 \) so that \( 10^{16} \) photons fall on it per square meter per second. Assume that W one photoelectron is emitted for every \( 10^{6} \) incident photons. Also assume that all the emitted photoelectrons are collected by plate \( \mathrm{B} \) and the work function of plate A remains constant at the value \( 2 \mathrm{eV} \). Determine
(a) the number of photoelectrons emitted up to \( t=10 \mathrm{sec} \).
(b) the magnitude of the electric field between the plates \( \mathrm{A} \) and \( \mathrm{B} \) at \( \mathrm{t}=10 \mathrm{~s} \) and
- (c) the kinetic energy of the most energetic photoelectron emitted at \( \mathrm{t}=10 \mathrm{~s} \) when it reaches plate
B. (Neglect the time taken by photoelectron to reach plate B)
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