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  4. Mass M is uniformly distributed only on curved surface of a thin hemispherical shell. A, B and C are three points on the circular base of hemisphere, such that A is the centre. Let the gravitational potential at points A, B and C be VA, VB, VC respectively. Then :

Q. Mass is uniformly distributed only on curved surface of a thin hemispherical shell. and are three points on the circular base of hemisphere, such that is the centre. Let the gravitational potential at points and be respectively. Then :

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Solution:

In figure shown as we know at all points in the plane of base of a hemispherical shell gravitational field is normal to base hence the surface is equipotential.

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