GravitationHard

Question

Gravitational potential at the centre of curvature of a hemispherical bowl of radius R and mass M is V : -

Options

A.Gravitational potential at the centre of curvature of a thin uniform wire of mass M, bent into a semicircle of radius R, is also equal to V
B.In part (A) if the same wire is bent into a quarter of a circle then also the gravitational potential at the centre of curvature will be V
C.In part (A) if the wire mass is non uniformly distributed along its length audit is bent into a semicircle of radius R, gravitational potential at the centre is V
D.None of these

Solution

Gravitational potential due to hemisphere at the centre is V because distance of each mass particle from the centre O is R. If the distance between the point and mass is changed potential will also change

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