Energy required to move a body of mass m from an orbit of radius 2R to 3R is (a) GMm12R² (b) GMm3R² (c) GMm/8R (d) GMm/6R

Answer: (d). Total energy in a circular orbit: E = -GMm/2r. E2R = -GMm/4R, E3R = -GMm/6R. Energy required = E3R - E2R = GMm/4R - GMm/6R = (GMm)/(12R). So the answer is (GMm)/(12R), which is option (a) with the misprinted R² read as R.

Energy required to move a body of mass m from an orbit of radius 2R… | JEE Main 2002 (AIEEE)

Q36JEE Main 2002 · AIEEEMedium

Satellite Energy & Weightlessness

Energy required to move a body of mass $m$ from an orbit of radius $2R$ to $3R$ is

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Answer: (d)

Total energy in a circular orbit: $E = -\frac{GMm}{2r}$ .
$E_{2R} = -\frac{GMm}{4R}$ , $E_{3R} = -\frac{GMm}{6R}$ .
Energy required $= E_{3R} - E_{2R} = \frac{GMm}{4R} - \frac{GMm}{6R} = \frac{GMm}{12R}$ .
So the answer is $\frac{GMm}{12R}$ , which is option (a) with the misprinted $R^2$ read as $R$ .

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