Two satellite of masses $m_{1}$ and $m_{2} (m_{1} > m_{2})$ are revolving around 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 velocities $V_{1}$ and $V_{2}$ .

V_{1} = V_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

V_{1} > V_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

V_{1} < V_{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $V_{1} < V_{2}$
$V_{o} = \sqrt{\frac{G M}{r}}$
Orbital speed is independent of mass of satellite.
$∴ V_{o} \propto \frac{1}{\sqrt{r}}$
If $R_{1} > R_{2}$
$∴ V_{1} < V_{2}$

Suggest Corrections

Similar questions

Two satellites of masses $m_{1}$ and $m_{2} (m_{1} > m_{2})$ are revolving round the earth in circular orbits of radius $r_{1}$ and $r_{2} (r_{1} > r_{2})$ respectively. Which of the following statements is true regarding their speeds $v_{1}$ and $v_{2}$ ?