question_answer

A spherical planet has a mass \[{{M}_{p}}\] and diameter \[{{D}_{p}}\]. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to [AIPMT (S) 2012]

A) \[4G{{M}_{p}}/D_{p}^{2}\]

B) \[G{{M}_{p}}m/D_{p}^{2}\]

C) \[G{{M}_{p}}m/D_{p}^{2}\]

D) \[4\,G{{M}_{p}}m/D_{p}^{2}\]

Correct Answer: A

Solution :

Force,

Here,

Acceleration due to gravity