Question

A particle of mass $m$ is moving along a circle of radius $r$ with a time period $T$. Its angular momentum is :

• A. $\frac{2\pi mr}{T}$
• B. $\frac{4\pi mr}{T}$
• C. $\frac{2\pi m{r}^2}{T}$
• D. $\frac{4\pi m{r}^2}{T}$

Answer 1

Answer: (C)

$\frac{2\pi m{r}^2}{T}$

Angular momentum, $L=mvr$

Also, $v=r\omega =r\frac{2\pi }{T}$

Thus, $L=\frac{2\pi m{r}^2}{T}$