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.
If `K_(L)` be the kinetic energy of light body and `K_(H)` be the kinetic energy of heavy body, then `K_(L) + K_(H)` is equal to

Options

A. `(mL^(2)omega^(2))/(3)`
B. `(2mL^(2)omega^(2))/(9)`
C. `(2mL^(2)omega^(2))/(2)`
D. `(mL^(2)omega^(2))/(9)`

Answer

A