Question

What is Principle of Homogeneity of Dimensions?

Answer

Principle of Homogeneity of Dimensions is: The magnitudes of physicals quantities mat be added together or subtracted from one another only if they have the same dimensions. In other words, we can add or subtract similar physical quantities. Thus, velocity cannot be added to force, or an electric current cannot be subtracted from the thermodynamic temperature. This simple principle called the Principle of Homogeneity of Dimensions in an equation is extremely useful in checking the correctness of an equation. If the dimensions of all the terms are not same, the equation is wrong.