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Question

# Assertion :Electric potential on the surface of a charged sphere of radius R is V. Then electric field at a distance r=R2 from centre is V2R Charge is distributed uniformly over the volume. Reason: From centre to surface, electric field varies linearly with r. Here, r is distance from centre.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

## The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for AssertionUsing Gauss' law, the electric field inside the sphere is:E=k(Qr3/R3)r2=kQr/R3, where k=1/4πϵo.Thus, inside sphere, electric field varies linearly with r.Now if potential at the surface is V then electric field is Vr/R2. So It should be V/2R if distance from the center is R/2.Thus, both assertion and reason are true but reason is not the correct explanation of the assertion.

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