A spherical shell of radius 10 cm is carrying a charge q . If the electric potential at distances 5cm, 10cm & 15cm from the centre of the spherical shell is `V_(1), V_(2) and V_(3)` respectively , then

Options

A. `V_(1) lt V_(2) lt V_(3)`
B. `V_(1) = V_(2) lt V_(3)`
C. `V_(1) gt V_(2) gt V_(3)`
D. `V_(1) = V_(2) gt V_(3)`

Answer

D

Explanation

As
`V_("inside ") = V_("surface ") 1/(4piepsilon_(0)) = q/R `
and `V_("outside") = 1/(4piepsilon_(0)) = q/R `
where q is the charge on the shell and R its radius .
` :. V_(1) = V_(2) gt V_(3)`