A double star consists of two stars having masses $M$ and $2M$ . The distance between their centres is equal to $r$. They revolve under their mutual gravitational interaction. Then, which of the following statements are not correct?

Lighter star revolves in orbit of radius $\raisebox{1ex}{$2r$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$

Both the stars revolve with same speed, period of which is equal to $\left(\raisebox{1ex}{$2\mathrm{\pi }$}\!\left/ \!\raisebox{-1ex}{$r^3$}\right.\right)\left(\raisebox{1ex}{$2G{M}^2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.\right)$

Kinetic energy of the lighter star is twice that of the other star

Havier star revolves in orbit of radius $r/3$