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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 gravitatioN/Al 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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