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}}] $
