A binary star system consists of two stars A and B which have time periods `T_(A)" and "T_(B)` radius `R_(A)" and "R_(B)` and masses `m_(A)" and "m_(B)` which of the three quantities are same for the stars. Justify.

A binary star system consists of two stars A and B which have time period T_A and T_B, radius R_Ba and mass M_a and M_B. Then

A binary star system consists of two stars of masses M_(1) and M_(2) revolving in circular orbits of radii R_(1) and R_(2) respectively. If their respective time periods are T_(1) and T_(2) , then

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

Consider a binary star system consisting of two stars of masses M_(1) and M_(2) separated by a distance of 30AU with a period of revolution equal to 30 years. If one of the two stars is 5 times farther from the centre of mass than the other, show that the masses of the two stars are 5 and 25 times that of the sun.

If for two gases of molecular weights M_(A) and M_(B) at temperature T_(A) and T_(B) , respectively, T_(A)M_(B)=T_(B)M_(A) , then which property has the same magnitude for both the gases?