Question

The orbital speed of a satellite is inversely proportional to radius of its orbit.

• A. True
• B. False

Answer 1

The correct option is A True

Step 1:To prove speed is inversely proportional to radius.

When a satellite is revolving around a planet in an orbit,

$$\begin{gathered} F_{Centripetal}=F_{Gravitational} \\ \frac{m_s{\left(v_s\right)}^2}{r}=\frac{G{m}_s{m}_e}{r^2} \\ {\left(v_s\right)}^2=\frac{G{m}_e}{r} \\ {v}_s\propto \frac{1}{\sqrt{r}} \end{gathered}$$

The orbital speed of a satellite is inversely proportional to the radius of its orbit.

Hence, the given statement is true.