Question

State the principle of homogeneity test the dimensional homogeneity of equations.S= ut +1/2 at

Answer 1

Answer:

The principle of homogeneity states that every equation relating physical quantities must be dimensionally homogeneous i.e. the dimensions of each term of a physical equation must be same.

Explanation:

s = ut + 1/2 at^2

The dimensional formulae of the quantities occurring in the given relation are:

distance, s = [L]

velocity, u = [LT^-1]

time, t = [T]

acceleration, a = [LT^-2].

constant 1/2 is dimensionless.

Using these equations we have,

[L] = [LT^-1] [T] + [LT^-2] [T^2]

= [L] + [L]

. ° . The dimensions on the both sides are same. Hence the given equation is dimensionally correct.