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+(100etalambdaPet)/(4piepsilon_(0)RhC)`
B. `V-(etalambdaPet)/(400piepsilon_(0)RhC)`
C. `V`
D. `(lambdaPet)/(4piepsilon_(0)RhC)`

Answer

B

Explanation

Charge on the sphere after `t` sec=`-eta/100(Plambdate)/(hc)` electric potential after `t` sec `-((etaPlambdate)/(100hc))xx1/(4piRepsilon_(0))`