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JEE Main 2023 (29 Jan, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2023 (29 Jan, Shift 2)

Q32JEE Main 2023 · 29 JAN · SHIFT 2Easy

Satellites - Orbital Velocity & Period

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.

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Answer: (b)

Kepler's third law: $T \propto r^{3/2}$ .
$T' = 24 \times \left(\frac{1}{4}\right)^{3/2} = \frac{24}{8} = 3$ hours
So the answer is (b) 3 hours.

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