Which of the following equations is dimensionally inconsistent?
(a) [v] = [L T^{-1], [u + a t] = [L T^{-1] + [L T^{-2] [T] = [L T^{-1], consistent. (b) [s] = [L], [v t + a t] = [L] + [L T^{-1], inconsistent. (c) [F] = [M L T^{-2], [m v² / r] = [M L² T^{-2] / [L] = [M L T^{-2], consistent. (d) [E] = [M L² T^{-2], [F r] = [M L T^{-2] [L] = [M L² T^{-2], consistent.
Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Units and Measurements and Physical World, Topic: Dimensional analysis and fundamental principles.