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A particle of mass M is placed at the ce...

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance `a/2` from the centre.

Text Solution

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The gravitational potential at the point P due to the particle at the centre is
`V_(1) = -(GM)/(a//2) = -(2GM)/(a)`
The potential at P due to the shell is `V_(2) = -(Gm)/(a)`
The net potential at P is `V_(1) = V_(2) = -(3Gm)/(a)`
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