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JEE Main 2021 (17 Mar, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2021 (17 Mar, Shift 2)

Q51JEE Main 2021 · 17 MAR · SHIFT 2Medium

Satellites - Orbital Velocity & Period

A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of 11R above the surface of 'P', R being the radius of 'P'. The time period of another satellite in hours at a height of 2R from the surface of 'P' is _________. 'P' has the time period of 24 hours.

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Answer: (a)

Orbit radii: $r_1 = 12R$ ( $T_1 = 24$ h), $r_2 = 3R$ .
$T_2 = 24\left(\frac{3R}{12R}\right)^{3/2} = 24\times\frac{1}{8}$
$T_2 = 3$ h
So the answer is (a).

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