An uncharged metallic sphere A of radius R is concentrically placed inside another sphere. Then metallic spherical shell of radius 2R carrying a charge Q. Now the sphere A is earthed. If P be a point at a radial distance 1.5 R from the centre of the spheres, then potential at P is

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Q36 πεoR

Q24 πεoR

Q16 πεoR

Q12 πεoR

answer is B.

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Detailed Solution

Let q be the charge on sphere A. since potential of A is zero,K.qR+K.Q2R=0⇒q=-Q2. ∴VP=K.q1.5R+K.Q2R=14πε0-Q23R2+14πε0Q2R=Q24πε0R

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