First slide

Motion of planets and satellites

Question

A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is:

Easy

A

1
B

$\frac{1}{\sqrt{2}}$
C

2
D

$\sqrt{2}$

Solution

$\begin{array}{l} O r b i t a l s p e e d = V_{0} = \sqrt{\frac{G M}{R}} \\ E s c a p e v e l o c i t y = V_{e} = \sqrt{\frac{2 G M}{R}} \\ ∴ \frac{V_{0}}{V_{e}} = \frac{1}{\sqrt{2}} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App