Principle of homogeneity of dimensions
Dimensions and dimensional analysis · Physics
Study notes
Which is dimensionally valid? (a) v = u + at (b) v = u + a/t (a) [v]=[LT⁻¹], [u]=[LT⁻¹], [at]=[LT⁻²][T]=[LT⁻¹] ✓ All match. (b) [a/t] = [LT⁻²]/[T] = [LT⁻³] ✗ Doesn't match [LT⁻¹]. So (a) is valid, (b) is not.