A point charge q is placed inside a conducting spherical shell of inner radius 2R and outer radius 3R at a distance of R from the centre of the shell. The electric potential at the centre of shell will be `(1)/(4pi epsilon_(0))` times

Options

A. `(1)/(4 pi epsilon_0) q/(2 R)`
B. `(1)/(4 pi epsilon_0) (4 q)/(3 R)`
C. `(1)/(4 pi epsilon_0) (5 q)/(6 R)`
D. `(1)/(4 pi epsilon_0) (2 q)/(3 R)`

Answer

c

Explanation

`V = k q/(R) -(k q)/(2 R) + (kq)/(3 R) = (k q)/(R) [1 - (1)/(2) + (1)/(3)]`
=`(k 5q)/(6 R)`
(##BMS_V03_C03_E01_104_S01##).