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Two satellites have their masses in the ratio $3:1$ The ratio of the orbit (circular ) are $1:4$ then the ratio of total mechanical energy of A and B

\[(a)\;\frac{12}{1} \quad (b)\;\frac{10}{1} \quad (c)\; \frac{8}{1} \quad (d)\;\frac{5}{1}\]

1 Answer

Energy $E=\large\frac{-GMm}{2r}$
$\large\frac{E_1}{E_2}=\frac{m_1}{r_1} \times \frac{r_2}{m_2}$
$\qquad=\large\frac{3}{1} \times \frac{4}{1}=\frac{12}{1}$
Hence a is the correct answer.


answered Aug 10, 2013 by meena.p
edited Feb 17, 2014 by meena.p

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