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Question

Gravitational potential on the surface of earth is V. Gravitational potential at the centre of earth is THEN :

A
V
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B
32V
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C
23V
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D
zero
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Solution

The correct option is C 32V
At the center its become equal to 32 times of v.
We know that the gravitational potential at the surface is equal to,
v=GMR(1)
As the earth is solid body, on going down the surface the gravitational potential becomes equal to,
vi=GM2R3(3R2r2)
put r=0
vi=32[GMR]
vi=32v

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