Energy required to move a body of mass $m$ from an orbit of radius $2R$ to $3R$ is
Energy required to move a body of mass $m$ from an orbit of radius $2R$ to $3R$ is
$\frac{G M m}{12 R^{2}}$
$\frac{G M m}{3 R^{2}}$
$\frac{ GMm }{8 R }$
$\frac{ GMm }{6 R }$
Energy required to move a body of mass $m$ from an orbit of radius $2R$ to $3R$ is
Change in potential energy in displacing a body from ${r_1}$ to ${r_2}$ is given by
$\Delta U = GMm\,\left[ {\frac{1}{{{r_1}}} - \frac{1}{{{r_2}}}} \right] = GMm\,\left( {\frac{1}{{2R}} - \frac{1}{{3R}}} \right) = \frac{{GMm}}{{6R}}$
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