What are the limitations of dimensional analysis?

1.	What are the limitations of dimensional analysis?
Answer» Limitations of Dimensional analysis 1. This method gives no information about the dimensionless constants in the formula like 1, 2, ….. π, e, etc. 2. This method cannot decide whether the given quantity is a vector or a scalar. 3. This method is not suitable to derive relations involving trigonometric,exponential and logarithmic functions. 4. It cannot be applied to an equation involving more than three physical quantities. 5. It can only check on whether a physical relation is dimensionally correct but not the correctness of the relation. For example, using dimensional analysis, s = ut + \(\frac{1}{3}\)at² is dimensionally correct whereas the correct relation is s = ut + \(\frac{1}{2}\)at²

Answer»

Limitations of Dimensional analysis

1. This method gives no information about the dimensionless constants in the formula like 1, 2, ….. π, e, etc.

2. This method cannot decide whether the given quantity is a vector or a scalar.

3. This method is not suitable to derive relations involving trigonometric,exponential and logarithmic functions.

4. It cannot be applied to an equation involving more than three physical quantities.

5. It can only check on whether a physical relation is dimensionally correct but not the correctness of the relation.

For example,

using dimensional analysis, s = ut + \(\frac{1}{3}\)at² is dimensionally correct whereas the correct relation is s = ut + \(\frac{1}{2}\)at²

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