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A binary star consists of two stars A (mass= 22 M s ) and B (mass= 11 M s ), where M s is the mass of the sun. They are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star system to the angular momentum of star B about the centre of mass is

Correct answer

1.5

Step-by-step solution

L Total L B = I A + I B ω I B · ω (as ω will be same in both cases) L Total L B = I A I B + 1 = m A r A 2 m B r B 2 + 1 as m A r A = m B r B L Total L B = m B m A + 1 = 0 . 5 + 1 = 1 . 5

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