Two satellites of masses m_1 and m_2 (m_1 m | vedclass

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(B) The orbital speed $v$ of a satellite revolving around a planet of mass $M$ at a distance $r$ from its center is given by the formula $v = \sqrt{\f

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$v_1 < v_2$

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(B) The orbital speed $v$ of a satellite revolving around a planet of mass $M$ at a distance $r$ from its center is given by the formula $v = \sqrt{\frac{GM}{r}}$.From this expression,it is clear that the orbital speed $v$ is independent of the mass of the satellite ($m_1$ or $m_2$).However,the orbital speed $v$ is inversely proportional to the square root of the orbital radius $r$ $(v \propto \frac{1}{\sqrt{r}})$.Given that $r_1 > r_2$,it follows that $\frac{1}{\sqrt{r_1}} Therefore,$v_1 < v_2$.

Two satellites of masses $m_1$ and $m_2$ $(m_1 > m_2)$ are revolving around the Earth in circular orbits of radii $r_1$ and $r_2$ $(r_1 > r_2)$ respectively. Which of the following statements is true regarding their speeds $v_1$ and $v_2$?

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