Question

What are the limitations of dimensional analysis

Answer 1

Limitations of dimensional method. ... Numerical constants having nodimensions cannot be obtained by method of dimensions. Equations using trigonometric, exponential, and logarithmic functions can not be deduced. If dimensions are given, physical quantity may not be unique as many physical quantities have samedimensions.

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.