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Which pair does not have equal dimensions?

Asked in CBSE AIPMT 2000 · Pairs with the same dimensions

Answer: (2) force and impulse

Step-by-step solution

Idea: the odd pair is the one whose two members differ by a factor of time.

[force]=[MLT⁻²]

[impulse]=[F t]=[MLT⁻²][T]=[MLT⁻¹]

These differ by [T], so force and impulse are not equal.

Energy and torque are both [ML²T⁻²], angular momentum and h are both [ML²T⁻¹], and elastic modulus and pressure are both [ML⁻¹T⁻²].

Why the other options are wrong

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