Question

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

• 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 (B) 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

Answer 1

The correct option is 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

Gravitational potential at the centre of curvature of a hemispherical bowl

of radius R and mass M is given by $\frac{GM}{R}$

so $V=\frac{GM}{R}$

Gravitational potential at the centre of curvature of a thin uniform wire

of mass M, bent into a semicircle of radius R, is given by $\frac{GM}{R}$

which is equal to V.

Hence option A is correct.