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JEE Main 2022 (29 Jun, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2022 (29 Jun, Shift 2)

Q41JEE Main 2022 · 29 JUN · SHIFT 2Easy

Satellites - Orbital Velocity & Period

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

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Answer: (b)

Kepler's third law: $T \propto r^{3/2}$ .
$T' = 7 \times 3^{3/2} = 7 \times 5.196 \approx 36.4$ hours
So the answer is (b) 36 hours.

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