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JEE Main 2021 (20 Jul, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2021 (20 Jul, Shift 2)

Q48JEE Main 2021 · 20 JUL · SHIFT 2Medium

Satellites - Orbital Velocity & Period

A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circular orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is:

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Answer: (d)

$T \propto r^{3/2}$ , so $\frac{T_2}{T_1} = (1.02)^{3/2}$ .
$(1.02)^{3/2} \approx 1 + \frac{3}{2}(0.02) = 1.03$
Percentage difference $\approx 3\%$ , answer (d) 3.0.

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