Gravitation Question 293

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 $ [\frac{a}{2}] $ distance from the centre, will be:

Options:

A) $ [-\frac{3GM}{a}] $

B)$ [-\frac{2GM}{a}] $

C) $ [-\frac{GM}{a}] $

D)$ [-\frac{4GM}{a}] $

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Answer:

Correct Answer: A

Solution:

  • Potential at the given point = Potential at the point due to the shell + Potential due to the particle $ [=-\frac{GM}{a}-\frac{2GM}{a}=-\frac{3GM}{a}] $


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