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 
      
      

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