Question

Using Principle of Homogeneity of dimensions check the correctness of the three kinematical equations of motion.

Answer 1

Answer:

The principle of homogeneity states that the dimensions of each the terms of a dimensional equation on both sides are the same. Using this principle the given equation will have same dimension on both sides. Thus, the dimension on both sides quantities are same

Answer 2

Answer:

To check the correctness of physical equation, v² = u² + 2as, Where 'u' is the initial velocity, 'v' is the final velocity, 'a' is the acceleration and s is the displacement. From (1) and (2) we have [L.H.S.] = [R.H.S.] Hence by the principle of homogeneity the given equation is dimensionally correct.