A binary star system consists of two stars of masses m and 2 m. The separation between the centres is L. They revolve about the centre of mass of the system under their mutual gravitational interaction force.
The system revolves with an angular velocity `omega` about the centre of mass given by

Options

A. `sqrt((Gm)/(L^(3)))`
B. `sqrt((2Gm)/(L^(3)))`
C. `sqrt((3Gm)/(L^(3)))`
D. `2sqrt((3Gm)/(L^(3)))`

Answer

C