A satellite A of mass m is at a distance of r from the centre of the earth. Another satellite B of mass 2m is at distance of 2r from the earth's centre. Their time periode are in the ratio of

Options

A. `1 : 2`
B. `1 : 16`
C. `1 : 32`
D. `1 : 2 sqrt(2)`

Answer

D

Explanation

`((T_(1))/(T_(2)))^(2)=(r^(3))/(8r^(3))" " therefore (T_(1))/(T_(2))=(1)/(2sqrt(2))`