Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by $\rho $(r) = kr, where r is the distance from the centre. Two charges A and B, of –Q each, are placed on diametrically opposite points, at equal distance, $a$ from the centre. If A and B do not experience any force, then :

Question

$a = {8^{ - 1/4}}R$

$a = {2^{ - 1/4}}R$

$a = {{3R} \over {{2^{1/4}}}}$

$a = {R \over {\sqrt 3 }}$

Solution

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