Question

Write down limitations of dimensional analysis ​

Answer 1

Explanation:

1. Dimension-ally correct equation is sometimes incorrect because it doesn’t take into account dimensionless constants like numbers.

• It does not test whether a physical quantity is a scalar or a vector.

• 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

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.