AIPMT 2010 Physics and Chemistry Paper

Here,
Mass of the particle =M
Mass of the spherical shell =M
Radius of the spherical shell =a
Point P is at a distance ‌

a

2

from the centre of the shell as shown in figureGravitational potential at point P due to particle at O is
V1=−‌

GM

(a/2)

Gravitational potential at point P due to spherical shell is
V2=−‌

GM

a

Hence, total gravitational potential at the point P is V=V1+V2