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From the chapter: Units, Dimensions and Error Analysis

Which of the following does NOT have the dimensions [M L² T⁻²]?

Show the answer and why

Answer: C.

Power is energy per unit time, so it is [M L² T⁻³] — one extra power of T⁻¹. Torque, work and heat all share [M L² T⁻²]. Note that torque and work having identical dimensions while being physically different (a vector and a scalar) is exactly why dimensional analysis can never prove a formula correct.

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