Given :
Two satellites orbit the same planet. if a satellite A has an orbit radius r and satellite B has an orbit radius 2r.
To Find :
The ratio of the period of satellite B to the period of satellite A.
Solution :
We know, square of time period (T) is directly proportional to cube root of radius (r) .
So,
[tex]\dfrac{T_B^2}{T_A^2}=\dfrac{(2r)^3}{r^3}\\\\\dfrac{T_B}{T_A}=2\sqrt{2}[/tex]
Therefore, the ratio of the period of satellite B to the period of satellite A is 2√2 .
