What are the limitations of dimensional analysis?

Explanation

1. This method gives no information about the dimensionless constants in the formula like `1, 2, ........pi ,e,` etc.
2.This method is not suitable to derive relations involving trigonometric, exponential and logarithmic functions.
3.It can only check on whether a physical relation is dimensionally correct but not the correctness of the relation. For example, using dimensional analysis, `S=ut +1/3 "at"^2` is dimensionally correct whereas the correct relation is `s = ut +1/2 = at^2`