The work function of a certain metal is \( \frac{h c}{\lambda_{0}} \). When a monochromatic light of wavelength \( \lambda\lambda_{0} \) is incident such that the plate gains a total power \( P \). If the efficiency of photoelectric emission is \( \eta \% \) and all the emitted photoelectrons are captured by a hollow conducting sphere of radius \( R \) already charged to potential \( V \), then neglecting any interaction between plate and the sphere, expression of potential of the sphere at time \( t \) is
(a) \( V+\frac{100 \eta \lambda \mathrm{Pet}}{4 \pi \varepsilon_{0} \mathrm{Rhc}} \)
(b) \( V-\frac{\eta \lambda \text { Pet }}{400 \pi \varepsilon_{0} \mathrm{Rhc}} \)
(c) \( V \)
(d) \( \frac{\lambda \text { Pet }}{4 \pi \varepsilon_{0} \text { Rhc }} \)
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