Question

Mention any two limitations of dimensional analysis.

Answer 1

Dimension-ally correct equation is sometimes incorrect because it doesn’t take into account dimensionless constants like numbers.
For e.g : $v^2+2as$ and $v^2+5as$ have same dimensions but they are physically incorrect.

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.