Two satellites P and Q go round a planet in c | vedclass

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(A) The orbital speed $v$ of a satellite revolving around a planet of mass $M$ at a distance $r$ is given by the formula $v = \sqrt{\frac{GM}{r}}$.Thi

Vedclass · Accepted Answer

$2 \sqrt{3} V$

Vedclass · Answer

(A) The orbital speed $v$ of a satellite revolving around a planet of mass $M$ at a distance $r$ is given by the formula $v = \sqrt{\frac{GM}{r}}$.This implies that $v \propto \frac{1}{\sqrt{r}}$.Given the radii of the orbits are $r_P = 3R$ and $r_Q = R$.Let $v_P$ and $v_Q$ be the orbital speeds of satellites $P$ and $Q$ respectively.Then,$\frac{v_Q}{v_P} = \sqrt{\frac{r_P}{r_Q}}$.Substituting the given values: $\frac{v_Q}{2V} = \sqrt{\frac{3R}{R}} = \sqrt{3}$.Therefore,$v_Q = 2V 	imes \sqrt{3} = 2\sqrt{3}V$.

Two satellites $P$ and $Q$ go round a planet in circular orbits having radii $3R$ and $R$ respectively. If the speed of satellite $P$ is $2V$,what will be the speed of satellite $Q$?

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