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Q.

For spherical symmetrical charge distribution, variation of electric potential with distance from center is given in diagram. Given that V=q4πε0R0 for rR0 and V=q4πε0r for rR0

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Then which option(s) is/are correct

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a

Total charge within 2R0 is q.

b

Total electrostatic energy for rR0 is zero.

c

At r=R0 electric field is discontinuous.

d

There will be no charge anywhere except at r=R0.

answer is A, B, C, D.

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Detailed Solution

The given graph is of charged conducting sphere of radius R0. The entire charge distributes on the surface of the sphere.

E = 0 for 0r<R  and E = Q4π0r2  Rr Electrostatic energy U = 120E2 and so u =0 where E = 0 .For a charged metalliv shell , electric field is zero inside the shell.

 

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