Of the following quantities, which one has di | vedclass

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

Vedclass · Accepted Answer

Angular momentum per unit mass

Vedclass · Answer

(d) Energy per unit volume = $\frac{{[M{L^2}{T^{ - 2}}]}}{{[{L^3}]}} = [M{L^{ - 1}}{T^{ - 2}}]$
Force per unit area = $\frac{{[ML{T^{ - 2}}]}}{{[{L^2}]}} = [M{L^{ - 1}}{T^{ - 2}}]$
Product of voltage and charge per unit volume $ = \frac{{V 	imes Q}}{{{m{Volume}}}} = \frac{{VIt}}{{{m{Volume}}}} = \frac{{{m{Power}} 	imes {m{Time}}}}{{{m{Volume}}}}$
$ \Rightarrow $ $\frac{{[M{L^2}{T^{ - 3}}]\,[T]}}{{[{L^3}]}} = [M{L^{ - 1}}{T^{ - 2}}]$
Angular momentum per unit mass = $\frac{{[M{L^2}{T^{ - 1}}]}}{{[M]}} = [{L^2}{T^{ - 1}}]$
So angular momentum per unit mass has different dimension.

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

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