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A very large sphere having charge 100e (e is equal to the charge of electron) uniformly distributed on the surface is compressed slowly and uniformly till its radius reduces to 1 m. The work done by the electric forces in this process is: (in J)

a
1013×e2
b
4.5×109×e2
c
9×1013×e2
d
4.5×1013×e2

detailed solution

Correct option is D

work done = Ui−UfUi=0 as sphere very large no electrostatic interactionUf=self energy of sphere = Q28πε0R=9×109×100e221=4.5×1013×e2

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