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. 48 h
B. `24sqrt2h`
C. `48sqrt2h`
D. 24 h

Answer

c

Explanation

`(T_(2))/(T_(1))=((r_(2))/(r_(1)))^(3//2)=((2r_(1))/(r_(1)))^(3//2)`
`T_(2)=T_(1)xx2sqrt2`
`=24xxsqrt2=48sqrt2h`.