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Of the following quantities, which one has dimensions different from the remaining three?

Asked in CBSE AIPMT 1989 · Pairs with the same dimensions

Answer: (4) angular momentum

Step-by-step solution

Idea: work out the first three and see that they agree, then check the fourth.

(energy)/(volume)=([ML²T⁻²])/([L³])=[ML⁻¹T⁻²]

(force)/(area)=([MLT⁻²])/([L²])=[ML⁻¹T⁻²]

(Vq)/(volume)=([ML²T⁻²])/([L³])=[ML⁻¹T⁻²]

L=mvr=[ML²T⁻¹]

Angular momentum is the odd one out.

Why the other options are wrong

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