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Gravitational Potential of a Solid Sphere

A diametrical...

Question

A diametrical tunnel is dug across earth. A ball is dropped into tunnel from one side. The velocity of the ball when it reaches other end is.

A

\sqrt{0.5 g R}

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B

\sqrt{g R}

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C

\sqrt{2 g R}

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D

zero

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Solution

The correct option is D zero
Body will be at rest since energy needs to be conserved. (Potential energy is constant on the surface.)

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