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

B.

C.

D.

Solution

Here,
Mass of a particle = M
Mass of a spherical shell = M
Radius of a spherical shell = a
Let O be centre of spherical shell
Gravitational potential at point P due to particle at O is

Gravitational potential at point P due to spherical shell at O is

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

Create a free account to view solution
View Solution FreeMore Gravitation Questions
The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth....The magnitudes of the gravitational field at distance r1 and r2 from the centre of a uniform, sphere of radius R and M a...A small body of superdense material, whose mass is twice the mass of the Earth but whose size is very small compared to ...Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. ...The escape velocity from the earth is about 11 km/second. The escape velocity from a planet having twice the radius and ...