The dimensional formula of angular velocity is

Match List $I$ with List $II$

List $I$	List $II$
$A$ Spring constant	$I$ $(T ^{-1})$
$B$ Angular speed	$II$ $(MT ^{-2})$
$C$ Angular momentum	$III$ $(ML ^2)$
$D$ Moment of Inertia	$IV$ $(ML ^2 T ^{-1})$

Choose the correct answer from the options given below

If e is the electronic charge, $c$ is the speed of light in free space and $h$ is Planck's constant, the quantity $\frac{1}{4 \pi \varepsilon_{0}} \frac{| e |^{2}}{h c}$ has dimensions of .......

Which two of the following five physical paramenters have the same dimensions $?$ 
$(1) $ energy density
$(2)$ refractive index
$(3) $ dielectric constant
$(4) $ Young's modulus
$(5)$ magnetic field

Dimensional formula $M{L^{ - 1}}{T^{ - 2}}$ does not represent the physical quantity

The dimensional formula of farad is