First slide

Dimensions of physical quantities

Question

The dimension of $\frac{1}{2} ε_{0} E^{2}$ ( $ε_{0}$ : permittivity of free space; E: electric field) is

Easy

A

$M L T^{- 1}$
B

$M L^{2} T^{- 2}$
C

$M L^{- 1} T^{- 2}$
D

$M L^{2} T^{- 1}$

Solution

Energy density $= \frac{E n e r g y}{V o l u m e}$ So it’s dimensions are $\frac{M L^{2} T^{- 2}}{L^{3}} = [M L^{- 1} T^{- 2}]$

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