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Acceleration due to gravity on moon is 1/6 of the acceleration due to gravity on earth. If the ratio of densities of earth ρe and moon ρm is ρeρm=53 then radius of moon Rm in terms of Re will be

a
518Re
b
16Re
c
318Re
d
123Re

detailed solution

Correct option is A

g=43πGρR ⇒ g∝ρR ⇒ gegm=ρeρm×ReRm⇒ 61=53×ReRm⇒Rm=518Re

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