Question

Mention any three advantages and three limitations of using dimensional analysis.​

Answer 1

There are following uses or advantages of dimensional analysis.

1. To check the correctness of a given relation.

2. To derive the relationship between various physical quantities.

3. To determine the dimensions of unknown quantities.

4. Conversion of one system of units into the other system of units.

Limitations of dimensionless analysis:

This method does not tell us how to determine the proportionality constant value.

The method cannot be considered to derive composite relations. Examples s = ut + 1/2 at2 and 2as = v2 – u2.

A formula containing trigonometric function, exponential function, and logarithmic function can not derive from it.

The method cannot be used to derive the relationship between more than three quantities.