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Q.

An insulating solid sphere of radius 'R' is charged in a non uniform manner such that volume charge density ρ=Ar where A is a positive constant and r the distance from centre. Electric field strength at any inside point at distance r1 is:

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a

14πe04πAr1

b

14πe0Ar1

c

Aπe0

d

A2e0

answer is D.

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Detailed Solution

Charge enclosed by sphere of radius r1q=∫ρ4πr2dr=∫0nAr4πr2dr=4πAr122Required electric field = q4πε0r12=A2ε0
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