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Practice question

Question

Which of the following equations is dimensionally inconsistent?

Options

Choose one · Correct answer highlighted

Explanation

(a) [s] = [L], [u t] = [L T^{-1] [T] = [L], consistent. (b) [v] = [L T^{-1], [a t] = [L T^{-2] [T] = [L T^{-1], consistent. (c) [F] = [M L T^{-2], [m v / t] = [M L T^{-1] / [T] = [M L T^{-2], consistent. (d) [E] = [M L² T^{-2], [m v t] = [M L T^{-1] [T] = [M L T⁰], inconsistent.

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