Question

A satellite is revolving around a planet in a circuit orbit of radius. ${}^{\prime }{r}^{\prime }$ and has angular momentum $L$. If it is taken into a higher orbit of radius ${}^{\prime }4r^{\prime }$, the charge in its angulatr momentum is

• A. $L/4$
• B. $L/2$
• C. $3L/4$
• D. $L$

Answer 1

The correct option is A $L/4$

A satellite is revolving around a planet in a circuit orbit of

radius$=r$

angular momentum$=L$

If it is time taken into higher orbit of radius $=4r$

The charge in its angular momentum$=$

The relation between radius and angular momentum $L\alpha \frac{1}{r}$

$\frac{r}{4r}=\frac{L_2}{4}{L}_2=\frac{1}{4}{L}_1=\frac{1}{4}L$