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(D) The relative permittivity $\varepsilon_r$ (also known as the dielectric constant $K$) is defined as the ratio of the permittivity of a medium $\va

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Dimensionless

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(D) The relative permittivity $\varepsilon_r$ (also known as the dielectric constant $K$) is defined as the ratio of the permittivity of a medium $\varepsilon$ to the permittivity of free space $\varepsilon_0$.Mathematically,$\varepsilon_r = \frac{\varepsilon}{\varepsilon_0}$.Since both $\varepsilon$ and $\varepsilon_0$ have the same dimensions,their ratio is a dimensionless quantity.Therefore,$\varepsilon_r$ has no dimensions,i.e.,$[M^0 L^0 T^0 A^0]$.

List-$I$	List-$II$
$A$. Coefficient of viscosity	$I$. $[ML^{-1}T^{-2}]$
$B$. Surface tension	$II$. $[ML^2T^{-2}]$
$C$. Pressure	$III$. $[ML^0T^{-2}]$
$D$. Surface energy	$IV$. $[ML^{-1}T^{-1}]$

The dimensional formula of $\varepsilon_r$ is .......

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Match List-$I$ with List-$II$.
List-$I$ List-$II$
$A$. Coefficient of viscosity $I$. $[ML^{-1}T^{-2}]$
$B$. Surface tension $II$. $[ML^2T^{-2}]$
$C$. Pressure $III$. $[ML^0T^{-2}]$
$D$. Surface energy $IV$. $[ML^{-1}T^{-1}]$

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