Question

What is the dimensional formula of angular momentum $L$ ?
$L=rp\sin \theta$, where $r$ is the position and $p$ is momentum.

• A. $\text{[MLT}{}^{-1}\text{]}$
• B. $\text{[M}{}^2\text{L}{}^2\text{T}{}^{-1}\text{]}$
• C. $\text{[ML}{}^2\text{T}{}^{-1}\text{]}$
• D. $\text{[M}{}^2\text{LT}{}^{-1}\text{]}$

Answer 1

The correct option is C $\text{[ML}{}^2\text{T}{}^{-1}\text{]}$

Angular momentum $L=rp\sin \theta =rmv\sin \theta \text{Dimensional formula of angular momentum is}\Rightarrow L^1{M}^{1}L{T}^{-1}=\left[M{L}^2{T}^{-1}\right]$