GravitationHard

Question

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

Options

A.
B.
C.
D.

Solution

        
Here,
Mass of the particle = M
Mass of the spherical shell = M
Radius of the spherical shell = a
Point P is at a distance from the centre of the shell as shown in the figure Gravitatiobal potential at point P due to particle at O is
V1 = -
Gravitatiobal potential at point P due to spherical shell is
V2 = -
Hence, total gravitation at point P is
V = V1 + V2
= -

Create a free account to view solution

View Solution Free
Topic: Gravitation·Practice all Gravitation questions

More Gravitation Questions

Two bodies of masses m and M are placed at distance d apart. The gravitational potential (V) at the position where the g...A simple pendulum has a time period T1 when on the earth′s surface and T2 when taken to a height R above the earth...The rotation of the Earth having radius R about its axis speeds upto a value such that a man at latitude angle 60o feels...Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2m, 4m, 8m, ...., respectively, from...There is a concentric hole of radius R in a solid sphere of radius 2R. Mass of the remaining portion is M. What is the g...