A particle of mass M is placed at the centre of a uniform spherical shell of equal m as and radius a. Find the gravitational potential at a point P at a distance a/2 from the centre.

A particle of mass M is placed at the centre of a uniform spherical sh

1.	A particle of mass M is placed at the centre of a uniform spherical shell of equal m as and radius a. Find the gravitational potential at a point P at a distance a/2 from the centre.
Answer» Solution :The GRAVITATIONAL potential at the POINT P DUE to the particle at the CENTRE is `V_1=-(GM)/(a//2)=-(2GM)/a` The potential at P due to the shell is `V_2=-(Gm)/a` The net potential at P is `V_1+V_2=-(3Gm)/a`