Two satellites are orbiting around the earth in circular orbits of same radius. One of them is 10 times greater in mass than the other. Their period of revolutions are in the ratio:

100 : 1 1 : 100 10 : 1 1 : 1

1 : 1

$T_2 \propto r^3 \quad \Rightarrow \quad \frac{T_1^2}{T_2^2}=\frac{r_1^3}{r_2^3}$ $\Rightarrow \frac{T_1^2}{T_2^2}=\left(\frac{r_1}{r_2}\right)^3=1\left(∵ r_1=r_2\right)$