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JEE Main 2003 (AIEEE) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2003 (AIEEE)

Q73JEE Main 2003 · AIEEEEasy

Satellites - Orbital Velocity & Period

The time period of satellite of earth is $5$ hours. If the separation between the earth and the satellite is increased to $4$ times the previous value, the new time period will become

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Answer: (c)

Kepler's third law: $T \propto r^{3/2}$ .
$T' = 5 \times 4^{3/2} = 5 \times 8 = 40$ hours
So the answer is (c) $40$ hours.

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