A charge particle `'q'` lies at the centre of two concentric hollow sphere of inner radii `R` and `3R` and outer radii `2R` and `4R` respectively. What amount of work has to be performed to slowly transfer the charge `'q'` from center rough the orifice to infinity.

Options

A. `5/96 (q^(2))/(piepsilon_(0)R)`
B. `(q^(2))/(16 piepsilon_(0)R)`
C. `7/96 (q^(2))/(piepsilon_(0)R)`
D. `(q^(2))/(96 piepsilon_(0)R)`

Answer

C

Explanation

Work performed `=int_(R)^(2R) 1/2 epsilon_(0) E^(2)dV+int_(3R)^(4R) 1/2 epsilon_(0) E^(2) dV=7/96 (q^(2))/(piepsilon_(0)R`