QJEEM22Phd7e2: JEE Main 2022 Physics - Class 12 JEEM22Phd7e2 Solution: Which of the following physical quantities have the same…

Electric displacement $(\overrightarrow D ) = {\varepsilon _0}\overrightarrow E$

$\Rightarrow [\overline D ] = [{\varepsilon _0}][\overline E ]$

$= [{M^{ - 1}}{L^{ - 3}}{T^4}{A^2}][{M^1}{L^1}{A^{ - 1}}{T^{ - 3}}]$

$[\overline D ] = [{L^{ - 2}}{T^1}{A^1}]$

[Surface charge density] $= {{[Q]} \over {[A]}}$

$[\sigma ] = [AT{L^{ - 2}}]$

$\Rightarrow \overrightarrow D$ and $[\sigma ]$ have same dimensions