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A uniform hollow sphere has internal radius a & external radius b . prove that the ratio of the gravitational potential at a point on its outer surface to that on the inner surface is $fraction numerator 2 left parenthesis b cubed minus a cubed right parenthesis over denominator 3 b left parenthesis b squared minus a squared right parenthesis end fraction$ .

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A uniform hollow sphere has internal radius a & external radius b . prove that the ratio of the gravitational potential at a point on its outer surface to that on the inner surface is .