The work function of a certain metal is `(hC)/lambda_(0)`. When a monochromatic light of wavelength `lambda lt 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 of potential of the sphere at time `t` is:

Options

A. `V +((100 eta lambda)Pet)/(4 pi epsilon_0 Rhc)`
B. `V -(eta lambda Pet)/(400 pi epsilon_0 Rhc)`
C. V
D. `(lambda "pet")/(4 pi epsilon_0 "Rhc")`

Answer

B

Explanation

Number of photons emitted per second
`N= (eta)/(100) xx (P lambda)/(hc)`
Potentical of the sphere after time t is
`V=V = ((Ne)t)/(4pi epsilon_0R) =V - (eta Plambda et)/(400 pi epsilon_0 Rhc)`