Question

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

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

Answer 1

The correct option is C $\left[M{L}^2{T}^{-1}\right]$

$L=rpsin\theta =rmvsin\theta \Rightarrow L^1{M}^{1}L{T}^{-1}=\left[M{L}^2{T}^{-1}\right]$