Question

Dimensional formula for angular momentum.

• A. $\left[M{L}^2{T}^{-1}\right]$
• B. $\left[M{L}^{2}T\right]$
• C. $\left[M^{0}L{T}^2\right]$
• D. $\left[M^0{L}^0{T}^0\right]$

Answer 1

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

Angular momentum for a point mass about an axis with velocity component of $v$ perpendicular to the radial direction is given by:

$L_p=mvr$

Hence, dimensions of angular momentum is:

$\left[L_p\right]=\left[M^1\right]\left[L^1{T}^{-1}\right]\left[L\right]$

$\left[L_p\right]=\left[M^1{L}^2{T}^{-1}\right]$