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JEE Main 2021 (27 Jul, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2021 (27 Jul, Shift 2)

Q49JEE Main 2021 · 27 JUL · SHIFT 2Medium

Satellites - Orbital Velocity & Period

Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their mutual gravitational attraction. The angular speed of each particle is:

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Answer: (b)

With $m = 1$ kg and separation $2R$ : $\frac{G(1)(1)}{(2R)^2} = (1)\omega^2 R$
$\omega^2 = \frac{G}{4R^3}$
$\omega = \frac{1}{2}\sqrt{\frac{G}{R^3}}$
So the answer is (b).

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