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 earth rotates about the sun in an elliptical orbit as shown in figure. At which point its velocity will be maximum ?...The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t1...Gravitation on Moon is th of that on Earth. When a balloon filled with hydrogen is released on Moon then this...A double star is a system of two stars of masses m and 2m, rotating about their centre of mass only under their mutual g...If the mass of the Sun were ten times smaller and the universal gravitational constant were ten time larger in magnitude...