A particle of mass M is placed at the centre of a uniform spherical shell of equal mas 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 mas 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`