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Practice question

Question

Which of the following equations is dimensionally inconsistent?

Options

Choose one · Correct answer highlighted

Explanation

(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.

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