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MHT CET 2021 (22 Sep, Shift 2) · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from MHT CET 2021 (22 Sep, Shift 2)

Q19MHT CET 2021 · 22 SEP · SHIFT 2Medium

Satellite Energy & Weightlessness

Two satellites of same mass are launched in circular orbits at heights ' $R$ ' and ' $2R$ ' above the surface of the earth. The ratio of their kinetic energies is ( $R =$ radius of the earth)

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Answer: (b)

Orbit radii: $R + R = 2R$ and $R + 2R = 3R$ .
$K = \frac{GMm}{2r} \propto \frac{1}{r}$ .
$\frac{K_1}{K_2} = \frac{3R}{2R} = \frac{3}{2}$ .
So the answer is (b) $3 : 2$ .

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