A binary star consists of two stars `A(mass 2.2 M_s)` and B `(mass 11 M_s)` where `M_s` is the mass of the sun, they are separted by distane d and are rotating about their center of mass, which is stationary. The ratio of the total angular momentum of the binary to the angular momentum of star B about the centre of mass is

Answer

6

Explanation

`(m_(1)v_(1)^(2))/(r_(1))=(Gm_(1)m_(2))/(d^(2))`
`(v_(1)^(2))/(r_(1))=(Gm_(2))/(d^(2))`
`v_(1) = sqrt((Gm_(2)r)/(d^(2))) = sqrt((Gm_(2))/(d)((5)/(6)))`