Question

If a particle moves with a constant velocity, the angular momentum of this particle about any point

• A. will remain constant.
• B. will vary linearly.
• C. will vary quadratically.
• D. will be always zero.

Answer 1

The correct option is A will remain constant.

Given, $v=$ constant,
Hence, $\frac{dv}{dt}=0$
Angular momentum $L=mv{r}_{\perp }$
$\frac{dL}{dt}=m{r}_{\perp }.\frac{dv}{dt}$ $\{\because \frac{dv}{dt}=0\}$
$\frac{dL}{dt}=0$
$\therefore L=$ constant
Hence, if a particle moves with a constant velocity, the angular momentum of the particle about any point remains constant.