Question

Explain the principle of homogeneity of dimensions. What are its uses? Give example.

Answer 1

The principle of homogeneity of dimensions states that the dimensions of all the terms in the physical expression should be the same.

This principle is used to check the correctness of the equation

For example

V² = U² + 2as

Writing dimensions on both sides

[LT^-1]² = [LT^-1]² + [LT^-1]²

[L² T²] = [L² T²] + [L²T^-2]

Here the dimensions of all the terms in the expression are the same and equal to[L²T^-2] So the equation is dimensionally correct.