Regarding the Applications and Limitations of Dimensional Analysis.
I. Dimensional analysis can be used to check the dimensional consistency of an equation.
II. It can be used to convert units from one system to another using n₁[u₁] = n₂[u₂].
III. It can be used to derive relationships between physical quantities if the dependence is of product type (power law).
IV. Dimensional analysis can determine the value of dimensionless proportionality constants (like 2π or 1/2).
V. It cannot distinguish between physical quantities having the same dimensions (e.g., Work and Torque).
