What are the limitations of dimensional analysis?

Explanation

Limitations of Dimensional analysis:
(i) This method gives no information about the dimensionless constants in the formula like 1, 2, ……………….`pi`, e etc.
(ii) This method canot decide whether the given quantity is a vector or a scalar.
(iii) This method is not suitable to derive relations involving rigonometric, exponential and logarithmic functions.
(iv) It cannot be applied to an equation involving more than three physical quantities.
(v)I It can only check on whether a physical relation is dimensionally correct but not the correctness of the relation
For example using dimensioinal analysis, `s=ut+1//3at^(2)` is dimensionally correct whereas the correct relation is `s=ut+1//2at^(2)`.