Dimensional Formulae and Equations

The dimension of $\frac{1}{2}{\epsilon }_0{E}^2$, where  ${\epsilon }_0$ is permittivity of free space and E is electric field, is:

Dimensional formula for linear momentum is

Candela is used to express electric field intensity.

Name one dimensional constant.
(Joule's constant/ Universal gas constant)

Dimensional formula for linear momentum is

If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities then the dimensions of length will be

$\mathrm{M}\mathrm{a}\mathrm{t}\mathrm{c}\mathrm{h}$ the units in $\mathrm{C}\mathrm{o}\mathrm{l}\mathrm{u}\mathrm{m}\mathrm{n}\mathrm{ }\mathrm{I}$ with their corresponding dimensional formula in $\mathrm{C}\mathrm{o}\mathrm{l}\mathrm{u}\mathrm{m}\mathrm{n}\mathrm{ }\mathrm{I}\mathrm{I}$ .

Which of the following sets have different dimensions?

If $P\mathit{,}\mathit{ }Q\mathit{,}\mathit{ }R$ are three physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?

The dimensional formula of ${\mu }_0$${\epsilon }_0$ is 

Select the dimensional formula of $\frac{B^2}{2{\mu }_0}$. Here $B$ is the magnetic field and ${\mu }_0$ is the permeability of the free space.

The dimensional formula of capacitance is _____. Take Q as the dimension formula of charge.

Match the following.
 

The dimensional formula for inductance is

Which of the following equation is dimensionally incorrect?

The dimensional formula of action $=(\mathrm{energy}\times \mathrm{time})$ is