Question

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 $V_{A}, V_{B}, V_{C}$ respectively. Then :

• A. $V_{A}>V_{B}>V_{C}$
• B. $V_{C}>V_{B}>V_{A}$
• C. $V_{B}>V_{A}$ and $V_{B}>V_{C}$
• D. $V_{A}=V_{B}=V_{C}$

Answer 1

Answer: (D)

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.