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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a
Q36 πεoR
b
Q24 πεoR
c
Q16 πεoR
d
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