A binary star system consists of two stars of masses M1 and M2 revolving in circular orbits of radii R1 and R2 respectively. If their respective time periods are T1 and T2, then

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A binary star system consists of two stars of masses M₁ and M₂ revolving in circular orbits of radii R₁ and R₂ respectively. If their respective time periods are T₁ and T₂, then

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$T_{1} > T_{2} i f M_{1} > M_{2}$

$T_{1} = T_{2}$

$\frac{T_{1}}{T_{2}} = {(\frac{R_{1}}{R_{2}})}^{\frac{3}{2}}$

$T_{1} > T_{2} i f R_{1} > R_{2}$

answer is C.

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Detailed Solution

In a binary star system, the two stars move under their mutual gravitational force. Therefore, their angular velocities and hence their time periods are equal. Thus the correct choice is (c).

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