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

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

d (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 \times Q}}{{{\rm{Volume}}}} = \frac{{VIt}}{{{\rm{Volume}}}} = \frac{{{\rm{Power}} \times {\rm{Time}}}}{{{\rm{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.

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

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 per unit mass

AIIMS 1987,AIPMT 1989, Medium

STD 11 Science
JEE
STD 11 - 1. units,dimensions and measurement
Physics

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