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JEE Main 2022 (27 Jul, Shift 1) · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from JEE Main 2022 (27 Jul, Shift 1)

Q18JEE Main 2022 · 27 JUL · SHIFT 1Medium

Satellite Energy & Weightlessness

Two satellites $A$ and $B$ , having masses in the ratio $4 : 3$ , are revolving in circular orbits of radii $3r$ and $4r$ respectively around the earth. The ratio of total mechanical energy of $A$ to $B$ is:

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Answer: (b)

$E = -\frac{GMm}{2r} \propto \frac{m}{r}$ .
$\frac{E_A}{E_B} = \frac{4}{3}\cdot\frac{4r}{3r} = \frac{16}{9}$ .
So the answer is (b) $16 : 9$ .

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