Question

A hollow conducting spherical shell of radius $R$ is charged with $Q$ coulomb. The amount of work done for moving any charge $q$ from the centre to the surface of the shell will be

• A. $\frac{qQ}{4\pi {ϵ}_{0}R}$
• B. Zero
• C. $\frac{Qq}{\pi {ϵ}_{0}R}$
• D. $\frac{2Qq}{\pi {ϵ}_{0}R}$

Answer 1

Answer: (B)

Zero

Potential inside the hollow conducting sphere is same as potential at the surface of sphere
i.e. $\frac{Q}{4\pi {ϵ}_{0}R}$
Difference in potential between the surface and center $\Delta V=0$
Thus work done, $W=q\Delta V=0$
So, no work done is done in moving a charge on a equipotential region.