Of the following quantities, which one has dimensions different from the remaining three? (a) Energy per unit volume (b) Force per unit area (c) Product of voltage and charge per unit volume (d) Angular momentum

Answer: (d). Energy per volume: ML²T⁻²/L³ = ML⁻¹T⁻². Force per area: ML⁻¹T⁻². Voltage × charge = energy, so per volume also ML⁻¹T⁻². Angular momentum: ML²T⁻¹, different. So the answer is (d).

Of the following quantities, which one has dimensions different from… | NEET 1989 (AIPMT)

Q119NEET 1989 · AIPMTEasy

Units & Dimensions

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

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Answer: (d)

Energy per volume: $\mathrm{ML^2T^{-2}}/\mathrm{L^3} = \mathrm{ML^{-1}T^{-2}}$ .
Force per area: $\mathrm{ML^{-1}T^{-2}}$ . Voltage $\times$ charge = energy, so per volume also $\mathrm{ML^{-1}T^{-2}}$ .
Angular momentum: $\mathrm{ML^2T^{-1}}$ , different.
So the answer is (d).

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