Question

What are the limitations of dimensional analysis?
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Answer 1

Answer:

Dimensional Analysis can't derive relation or formula if a physical quantity depends upon multiple factors having dimensions.

It can't derive a formula containing a trigonometric function, exponential function, and logarithmic function and it can't derive a relation having more than one part in an equation.

Answer 2

Following are the few $\textbf{limitations of Dimensional Analysis }$:

1) It doesn't enables us to determine the value of proportionality constant, which may be a pure number or dimensionless ratio.

2) It can't be used to derive relationship involving trigo. or exponential function.

3) It fails to derive a relationship which guarantee correctness of a relation because many physical quantities have same dimensions.