Question

A uniform spherical shell gradually shrinks maintaining its shape. The gravitational potential at the centre

• A. increases.
• B. decreases
• C. remains constant.
• D. oscillates.

Answer 1

Answer: (B)

decreases

Gravitational potential at the centre of spherical shell $=-\frac{GM}{R}$
As, the shell is shrinking,R decreases,$\frac{GM}{R}$ increases.
so,$-\frac{GM}{R}$ decreases.