Question

The dimension of the ratio of angular momentum to linear momentum is

• A. $L^0$
• B. $L^1$
• C. $L^2$
• D. $MLT$

Answer 1

The correct option is B $L^1$

Angular momentum is given by: $L=r\times mv$
Linear momentum is given by: $p=mv$
Ratio of angular momentum to the linear momentum is: $\frac{L}{p}=\frac{r\times mv}{mv}=r$
Unit of $r$ is meter. Hence, dimension of $r$ is $\left[L^1\right]$
Therefore, the dimension of the ratio of angular momentum and linear momentum is: $\frac{L}{p}=\left[L^1\right]$