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Motion In Straight Line

Question
CBSEENPH11017506

Two planets having masses M1 and M2 and radii R1 and R2 have equal acceleration due to gravity at the surface of planets. Find the ratio of masses of planets in terms of radii.

Solution
Acceleration due to gravity of the first planet of mass M1and radii is,
                         
Acceleration due to gravity of the second planet of mass M2 and radius R2 is, 
                         straight g subscript 2 equals GM subscript 2 over straight R subscript 2 squared 
Since straight g subscript 1 equals straight g subscript 2 comma therefore 
                     GM subscript 1 over straight R subscript 1 squared equals GM subscript 2 over straight R subscript 2 squared 
So, 
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