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Satellites - Orbital Velocity & Period question from NEET 2023

Q31NEET 2023Easy

Satellites - Orbital Velocity & Period

A satellite is orbiting just above the surface of the earth with period $T$ . If $d$ is the density of the earth and $G$ is the universal constant of gravitation, the quantity $\frac{3\pi}{Gd}$ represents:

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Answer: (a)

Just above the surface: $T^2 = \frac{4\pi^2 R^3}{GM}$ with $M = \frac{4}{3}\pi R^3 d$ .
$T^2 = \frac{3\pi}{Gd}$
So the answer is (a) $T^2$ .

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