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Q.

A sphere of radius R has a uniform distribution of electric charge in its volume. At a distance x from its centre, for x

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a

1x2

b

1x

c

x

d

x2

answer is C.

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Detailed Solution

Let sphere has uniform chare density ρ =3Q4πR3 and E is the electric field at distance x from the centre of the sphere.Applying Gauss law E. 4π x2=qε0=ρV'ε0=ρε0×43πx3 ( V′= Volume of dotted sphere) ∴E=ρ3ε0x⇒E∝x
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A sphere of radius R has a uniform distribution of electric charge in its volume. At a distance x from its centre, for x