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Satellite Energy & Weightlessness question from NEET 2024

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Satellite Energy & Weightlessness

The minimum energy required to launch a satellite of mass $m$ from the surface of earth of mass $M$ and radius $R$ in a circular orbit at an altitude of $2R$ from the surface of the earth is:

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Answer: (a)

Orbit radius $r = 3R$ ; $E_f = -\frac{GMm}{6R}$ .
At the surface $E_i = -\frac{GMm}{R}$ .
$E_f - E_i = \frac{5GmM}{6R}$ .
So the answer is (a).

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