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JEE Main 2025 (24 Jan, Shift 1) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2025 (24 Jan, Shift 1)

Q13JEE Main 2025 · 24 JAN · SHIFT 1Medium

Satellites - Orbital Velocity & Period

A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R. The time period of revolution of the second satellite is larger than the first one approximately by

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Answer: (c)

$T \propto r^{3/2}$ , so $\frac{T_2}{T_1} = (1.03)^{3/2}$ .
$(1.03)^{3/2} \approx 1 + \frac{3}{2}(0.03) = 1.045$
So $T_2$ is larger by about $4.5\%$ , answer (c).

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