Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by ρ(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:

\({\rm{a}} = \frac{{3{\rm{R}}}}{{{2^{1/4}}}}\)

\({\rm{a}} = \frac{{\rm{R}}}{{\sqrt 3 }}\)

Let a total charge 2Q be distributed in a sphere of radius R, with the

1.	Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by ρ(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:
A.	a = 8-1/4R
B.	\({\rm{a}} = \frac{{3{\rm{R}}}}{{{2^{1/4}}}}\)
C.	a = 2-1/4R
D.	\({\rm{a}} = \frac{{\rm{R}}}{{\sqrt 3 }}\)
Answer» B. \({\rm{a}} = \frac{{3{\rm{R}}}}{{{2^{1/4}}}}\)

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