A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is

Options

A. 24 hours
B. 48 hours
C. `48sqrt(2)` hours
D. `(48)/(sqrt(2))` hours

Answer

C

Explanation

`T^(2)prop R^(3) " " (T_(2)^(2))/(T_(1)^(2))=((2)/(1))^(3)=8`
`therefore T_(2)=sqrt(8)T_(1)=24xx2sqrt(2)=48 sqrt(2)` hour.