A double star is a system of two stars moving around the centre of mass of the system due to gravitation. The distance between the components of the double star is

Q: A double star is a system of two stars moving around the centre of mass of the system due to gravitation. The distance between the components of the double star is (Given, the total mass is M and time period id T )

(a) $(\frac{G M T^2}{\pi^2})^{1/3}$

(b) $(\frac{G M T^2}{4 \pi^2})^{1/3}$

(c) $(\frac{G M T^2}{2 \pi^2})^{1/3}$

(d) $(\frac{G M T}{3 \pi^2})^{1/3}$

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Ans: (b)