Question

Give limitations of dimensional analysis

Answer 1

Followings are the limitations of Dimensional analysis:-
(i) If a physical quantity depends upon more than three different base quantities, the formula cannot be derived with the help of dimensional analysis.
(ii) Dimensional analysis may not give the formula with true physical relationship, e.g., according to dimensional analysis.
s = ut + 1/2 at2 is the correct relationship.
(iii) Dimensionless constants like 1,2,3,...., e, π are not available in the formula derived with the help of dimensional analysis.
(iv) Formula containing trigonometric, exponential functions cannot be derived with the help of dimensional analysis.
(v) This method does not inform about the nature of the derived physical quantity, i.e., whether it is scalar or vector.

hope dis helps u..

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.