Gravitation Question 9

Question: A spherical planet far out in space has a mass $ [M_{0}] $ and diameter $ [D_{0}] $ . A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to[MP PMT 1987; DPMT 2002]

Options:

A) $ [GM_{0}/D_{0}^{2}] $

B) $ [4mGM_{0}/D_{0}^{2}] $

C) $ [4GM_{0}/D_{0}^{2}] $

D)$ [GmM_{0}/D_{0}^{2}] $

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Answer:

Correct Answer: C

Solution:

$ [g=\frac{GM}{R^{2}}=\frac{GM_{0}}{{{(D_{0}/2)}^{2}}}=\frac{4GM_{0}}{D_{0}^{2}}] $



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