Calculate the gravitational potential at the centre of base of a solid hemisphere of mass `M`, radius `R`.

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 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 radius R, gravitational potential at the centre is V
D. None of these

Answer

A, C

Explanation

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.