Question

State the limitations of dimensional analysis?

Answer 1

Hi , This is the answer of me.


LIMITATION OF DIMENSION ANALYSIS.
1) The value of dimensionless constant cannot be determined by this method.
2) This method cannot be applied to equation involving exponential and trigonometry functions.
3) It cannot be applied to an equation involving more than three physical quantities.
4) It can check only whether a physical relation is dimensionally correct or not. It cannot tell whether the relation is absolutely correct or not.
for eg.....
Applying this technique
s= ut +1/4 at^2 is dimensionally correct whereas the correct relation is
s= ut +1/2 at^2

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.