A solid sphere of radius \( R \) has a charge \( Q \) distributed in its volume with a charge de...

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A solid sphere of radius \( R \) has a charge \( Q \) distributed in its volume with a charge density \( \rho=k r^{a} \), where \( k \) and \( a \) are
\( \mathrm{P} \) constants and \( r \) is the distance from its centre. If the electric

W field at \( r=\frac{R}{2} \) is \( \frac{1}{8} \) times that at \( r=R \), find the value of \( a \)
(2009)
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