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

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518Re

16Re

318Re

123Re

answer is A.

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Detailed Solution

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

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