Question

What are the limitations of dimensional analysis?

Answer 1

Answer:

this method is to

(1) convert a physical quantity from one system of units to another.

(2) check the dimensional correctness of a given physical equation.

(3) Establish relations among various physical quantities.

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.