The term on both sides of a dimensional equation should have same dimensions. This is called principle of Homogeneity of dimensions. (or) Every term on both sides of a dimensional equation should have same dimensions. This is called principle of homogeneity of dimensions.
Uses of Dimensional equations :
Dimensional equations are used i) to convert units from one system to another, ii) to check the correctness of the dimensional equations iii) to derive the expressions connecting different physical quantities.
CHECKING THE CORRECTNESS OF PHYSICAL EQUATIONS:
According to the Principle of Homogeneity, if the dimensions of each term on both the sides of equation are same, then the physical quantity will be correct.
The correctness of a physical quantity can be determined by applying dimensions of each quantity
