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