Question

An earth satellite has angular momentum $\alpha$ and its areal velocity about earth is $\beta$, then mass of satellite is

• A. $\frac{\alpha }{\beta }$
• B. $\frac{\alpha }{2\beta }$
• C. $\frac{\alpha }{3\beta }$
• D. $\frac{2\alpha }{\beta }$

Answer 1

The correct option is B $\frac{\alpha }{2\beta }$

Areal velocity $=\frac{\overrightarrow{r}\times \overrightarrow{v}}{2}$$=\frac{L}{2m}$
$\beta =\frac{\alpha }{2m}$
$m=\frac{\alpha }{2\beta }$