If V is the gravitational potential due to sphere of uniform density on its surface, then its value at the centre of sphere will be:

Question

If V is the gravitational potential due to sphere of uniform density on its surface, then its value at the centre of sphere will be:, 4 3 V, V 2, V, 3 V 2

MARKS App · Accepted Answer

The magnitude of gravitational potential of a solid sphere at a distance r from the centre is V = - G M 2 R 3 ( 3 R 2 - r 2 ) At r = R , V = - G M R . At r = 0 , V ' = - G M 2 R 3 ( 3 R 2 ) = - 3 G M 2 R Clearly, V ' = 3 V 2 .

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