Which one of the following quantities has dim | vedclass

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Question

(D) $1$. Energy per unit volume: $\frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.$2$. Force per unit area: $\frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$

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Angular momentum per unit mass

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(D) $1$. Energy per unit volume: $\frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.$2$. Force per unit area: $\frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$.$3$. Product of voltage and charge per unit volume: Voltage $	imes$ Charge = Energy. Thus,$\frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.$4$. Angular momentum per unit mass: Angular momentum is $[ML^2T^{-1}]$. Dividing by mass $[M]$ gives $[L^2T^{-1}]$.Since the dimensions of angular momentum per unit mass are $[L^2T^{-1}]$,which is different from $[ML^{-1}T^{-2}]$,the correct option is $D$.

Which one of the following quantities has dimensions different from the remaining three?

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