Question

Limitation of dimensional analysis

Answer 1

Answer:

It cannot derive relation or formula if a physical quantity depends upon more than three factors having dimensions. It cannot derive a formula containing trigonometric function, exponential function, and logarithmic function. It cannot derive a relation having more than one part in an equation.

Answer 2

$\large\bf\underline\red{Limitations\:of\:Dimensional\:Analysis}$

1. The constant of proportionality cannot be determined by Dimensional Analysis.
2. The method cannot be used to relations which have composite relations having two or more than two terms such relations are derived in parts.
3. The method cannot be used to derive a relation in the cases, where the trigonometric or exponential functions are involved.
4. The method fail when a physical quantity depends upon more than three physical quantities. This is due to the fact that we can get at the most three = ns by comparing the powers of three fundamental units.
5. One should have the round knowledge of the subject.