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JEE Main 2021 (20 Jul, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2021 (20 Jul, Shift 2)

Q50JEE Main 2021 · 20 JUL · SHIFT 2Medium

Satellites - Orbital Velocity & Period

Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA an rB, respectively. If TA and TB are the time period of star A and star B, respectively, Then:

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Answer: (b)

In a binary system both stars revolve about their common centre of mass.
The line joining them always passes through the centre of mass, so they keep diametrically opposite positions.
Hence both have the same angular speed, whatever their masses or radii.
So $T_A = T_B$ , answer (b).

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