Figure shows three concentric thin spherical shells A, B and C of radii R, 2R and 3R. The shell B is earthed and A and C are given charges q and 2q, respectively. If the magnitude of charge appearing on surfaces 1,2,3, and 4 are q1, q2, q3 and q4 respectively, then match the following columns. Column-I Column-II (A) q (P) q1 (B) \frac{4 q}{3} (Q) q2 (C) \frac{2 q}{3} (R) q3 (S) q4

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Electric Flux and Gauss Law and its Applications

Electric Potential Energy and Electric Potential

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Question

Figure shows three concentric thin spherical shells A, B and C of radii R, 2R and 3R. The shell B is earthed and A and C are given charges q and 2q, respectively. If the magnitude of charge appearing on surfaces 1,2,3, and 4 are q₁, q₂, q₃ and q₄ respectively, then match the following columns.

Column-I	Column-II
(A) q	(P) q₁
(B) $\frac{4 q}{3}$	(Q) q₂
(C) $\frac{2 q}{3}$	(R) q₃
	(S) q₄

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$O = \frac{KQ}{2 R} + \frac{K_{C} 2 Q}{3 R} + \frac{{Kq}_{B}}{2 R}$
$q_{B} = - (Q + \frac{4 Q}{3}) = - \frac{7 Q}{3}$
Q₁ = – Q_A = – q
$Q_{2} = - \frac{7 Q}{3} + q = - \frac{4 Q}{3}$
$Q 3 = \frac{4 Q}{3}$
Q₃ + Q₄ = 2q
$Q 4 = - \frac{2 Q}{3}$