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JEE Advance 2009
Paper-2
Question
A solid sphere of radius $R$ has a charge $Q$ distributed in its volume with a charge density $\rho=\mathrm{kr}^{\mathrm{a}}$, where k and a are constants and $r$ is the distance from its centre. If the electric field at $r=R / 2$ is $1 / 8$ times that at $r=$ R , find the value of a .
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