Question

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre will be :

• A. $\frac{GM}{a}$
• B. $\frac{2GM}{a}$
• C. $\frac{3GM}{a}$
• D. $\frac{4GM}{a}$

Answer 1

The correct option is C $\frac{3GM}{a}$

gravitational potential at x point
$V_x=\frac{GM}{a/2}+\frac{GM}{a}=\frac{3GM}{a}$