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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)

Q44JEE Main 2021 · 24 FEB · SHIFT 1Easy

Satellites - Orbital Velocity & Period

Consider two satellites S1 and S2 with periods of revolution 1 hr. and 8 hr. respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S1 to the angular velocity of satellite S2 is:

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Answer: (b)

Angular velocity $\omega = \frac{2\pi}{T}$ , so $\omega \propto \frac{1}{T}$ .
$\frac{\omega_1}{\omega_2} = \frac{T_2}{T_1} = \frac{8}{1}$
So the answer is (b) $8:1$ .

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