A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon's orbit. The satellite completes one revolution is :

Options

A. `1/2` lunar month
B. `2/3` lunar month
C. `2^(-3//2)` lunar month
D. `2^(3//2)` lunar month

Answer

C

Explanation

Time period of revolution of moon around the earth = 1 lunar month.
`T_s/T_m=(r_s/r_m)^(3//2) =(1/2)^(3//2) rArr T_s=2^(-3//2)` lunar month