Question

A system of binary stars of mass `m_(A)` and `m_(B)` are moving in circular orbits of radii `r_(A)` and `r_(B)` respectively. If `T_(A)` and `T_(B)` are at the time periods of masses `m_(A)` and `m_(B)` respectively then
A. If `T_(A)gtT_(B)`, then `R_(A)gtR_(B)`
B. If `T_(A)gtT_(B)`, then `M_(A)gtM_(B)`
C. `((T_(A))/(T_(B)))^(2)=((R_(A))/(R_(B)))^(3)`
D. `T_(A)=T_(B)`

Answer 1

Correct Answer - D
In case of binary star system angular velocity and the time period of both the stars are equal.