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Question: The acceleration due to the gravity on the moon is one sixth that on earth. If the average density o...

The acceleration due to the gravity on the moon is one sixth that on earth. If the average density of moon is three fifth that of earth, the moon's radius in terms of earth's radius Re is –

A

0.16 Re

B

0.27 Re

C

0.32 Re

D

0.36 Re

Answer

0.27 Re

Explanation

Solution

We know

g = 43\frac { 4 } { 3 }pGRr. So

=

Þ =

Þ RM = 518\frac { 5 } { 18 }Re = 0.27 Re