For the double star system, the two stars having masses `m_(1)` and `m_(2) `are separated b a distance `r`. They are revolgin about their common centre of mass in radii `r_(1)` and `r_(2)` respectively. Which of the following is/are incorrect.?

Options

A. The whole system can be studied can be studied by replacing it by a single mass `(m_(1)m_(2))/(m_(1)+m_(2))` revolgin about the center of mass.
B. The angular velocity of `m_(2)` is less than that of `m_(1)`
C. Force acting on `m_(1)` is `(Gm_(1)m_(2))/(r_(1)^(2))` and that acting on `m_(2)` is `(Gm_(1)m_(2))/(r_(2)^(2))`
D. For acting on `m_(2)` is `(Gm_(1)m_(2))/(r^(2))m_(2)`

Answer

A, B, C