Question

what is the principal of homogeneity

Answer 1

The principle of homogeneity is that the dimensions of each the terms of a dimensiional equation on both sides are the same . Any equation or formula involving dimensions (like mass, length, time , temperature electricity) have the terms with same dimensions.

Answer 2

An equation is dimensionally correct if the dimensions of the various terms on either side of the equation are the same. This is called the principle of homogeneity of dimensions. This principle is based on the fact that two quantities of the same dimension only can be added up, the resulting quantity also possessing the same dimension.

The equation A + B = C is valid only if the dimensions of A. B and C are the same.