Class 11 NEET Physics Gravitation Questions

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

a

2

from the center of the shell as shown in the figure.
Gravitational 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=−

GM

( a 2 )

+(−

GM

a

)
=−

2GM

a

−

GM

a

=−

3GM

a