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Identify the pair whose dimensions are equal.

Asked in AIEEE 2002 · Pairs with the same dimensions

Answer: (1) Torque and work

Step-by-step solution

Torque is force times perpendicular distance, [MLT⁻²][L]=[ML²T⁻²].

Work is force times displacement, also [ML²T⁻²].

The two match exactly, though they are physically different quantities: work is a scalar while torque is a vector.

None of the other pairs agrees.

Why the other options are wrong

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