A point charge q is placed inside a conducting spherical shell of inner radius 2R and outer radius 3R at a distance of R fro the centre of the shell. The electric potential at the centre of shell will (potential at infinity is zero).

Options

A. `(1)/(4piepsilon_(0))(q)/(2R)`
B. `(1)/(4piepsilon_(0))(4q)/(3R)`
C. `(1)/(4piepsilon_(0))(5q)/(6R)`
D. `(1)/(4piepsilon_(0))(2q)/(3R)`

Answer

C

Explanation

`V_(C)=(1)/(4piepsilon_(0))[(q)/(R)-(q)/(2R)+(q)/(3R)]=(1)/(4piepsilon_(0))((5q)/(6R))`