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JEE Main 2021 (24 Feb, Shift 1) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2021 (24 Feb, Shift 1)

Q57JEE Main 2021 · 24 FEB · SHIFT 1Difficult

Satellites - Orbital Velocity & Period

Two stars of masses m and 2m at a distance d rotate about their common centre of mass in free space. The period of revolution is:

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Answer: (d)

For a binary system, $\omega^2 = \frac{G(m_1+m_2)}{d^3}$ .
$\omega^2 = \frac{G(3m)}{d^3}$ .
$T = \frac{2\pi}{\omega} = 2\pi\sqrt{\frac{d^3}{3Gm}}$ .
So the answer is (d).

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