Proper Limit Rule

We can check the correctness of formula by using Dimensional Analysis. In physics, there are many types of energies, forces etc, which are dimensionally same but we cannot equate them. For example:- Mass energy relation cannot be equated with non relativistic kinetic and potential energy of a body, electrostatic force of repulsion between two protons cannot be equated with Gravitational force of attraction between them, but they are dimensionally same. Whether two equations of same dimension can be equated or not, can be check by proper limit rule.