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Question

Two metal spheres of radii in the ratio 3:4 are connected and a charge of 14μ C is given to the system and then they are separated so that there is no mutual force between them. The potential due to the larger sphere at a distance of 3m from the centre of the sphere is

A
72KV
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B
36KV
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C
24KV
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D
12KV
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Solution

The correct option is C 24KV
q1+q2=14μC...(1)V=q1c1=q2c2;q1q2=4πϵ0r14πϵ0r2;q1q2=r1r2=34q1=6μC;q2=8μC V2=14πϵ0q2r=9×109×8×1063V2=24×103V

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