A solid, uncharged conducting sphere of radius $3 a$ contains a concentric hollowed spherical cavity of radius $a$ .

A point charge $+ Q$ is placed at the center of the spheres. Taking $V = 0$ at $r \to \infty$ , the potential at position $r = 2 a$ from the center is-

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Final Charge distribution will be as shown Therefore potential at r = 2 a is given by V = K Q 2 a - K Q 2 a + K Q 3 a V = K Q 3 a

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