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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
qQ4πϵ0R
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B
Zero
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C
Qqπϵ0R
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D
2Qqπϵ0R
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Solution

The correct option is A Zero
Potential inside the hollow conducting sphere is same as potential at the surface of sphere
i.e. Q4πϵ0R
Difference in potential between the surface and center ΔV=0
Thus work done, W=qΔV=0
So, no work done is done in moving a charge on a equipotential region.

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