Find the dimensions of the gas constant $\left(R\right)$. Some of the relations involving the above quantities are:

$p\mathit{=}mv\mathit{,}\mathit{ }\nu \mathit{=}\frac{1}{T}\mathit{,}\mathit{ }P\mathit{=}\frac{F}{A}\mathit{,}\mathit{ }\alpha \mathit{=}\frac{{\omega }_2\mathit{-}{\omega }_1}{t_2\mathit{-}{t}_1}\mathit{,}\mathit{ }r\mathit{=}F\mathit{.}r\mathit{,}\mathit{ }I\mathit{=}m{r}^2\mathit{,}\mathit{ }c\mathit{=}\frac{Q}{m\mathit{.}\theta }$, $\gamma \mathit{=}\frac{V_2\mathit{-}{V}_1}{V_1\mathit{\times }\mathit{(}{\mathit{\theta }}_{\mathit{2}}\mathit{-}{\mathit{\theta }}_{\mathit{1}}\mathit{)}}\mathit{,}\mathit{ }\frac{PV}{T}\mathit{=}R$. The symbols $m\mathit{,}\mathit{ }v\mathit{,}\mathit{ }r\mathit{,}\mathit{ }A\mathit{,}\mathit{ }V\mathit{,}\mathit{ }F\mathit{,}\mathit{ }t\mathit{,}\mathit{ }\theta \mathit{,}\mathit{ }T$  are respectively mass, velocity, distance, area, volume, Force, time, temperature, absolute temperature. 

Find the dimensions of electric field $\left(E\right)$ The relevant equations are:

$\mathrm{F}=\mathrm{qE}$

Find the dimensions of magnetic field $\left(B\right)$, The relevant equations are :

$F\mathit{=}qE\mathit{,}\mathit{ }F\mathit{=}qvB\mathit{,}\mathit{ }B\mathit{=}\frac{{\mu }_{\mathit{0}}I}{2\pi r}\mathit{,}p\mathit{=}q·r\mathit{,}\mathit{ }M\mathit{=}IA$

$F\mathit{=}\frac{q_1{q}_2}{4\pi {\epsilon }_{\mathit{0}}{r}^2}$ 

Where the other symbols $F\mathit{,}\mathit{ }q\mathit{,}\mathit{ }v\mathit{,}\mathit{ }I\mathit{,}\mathit{ }r\mathit{,}\mathit{ }A$ represent force, charge, velocity, current, distance and area.

Find the dimensions of magnetic permeability $\left({\mu }_0\right)$, The relevant equations are :

$F\mathit{=}qE\mathit{,}\mathit{ }F\mathit{=}qvB\mathit{,}\mathit{ }B\mathit{=}\frac{{\mu }_{\mathit{0}}I}{2\pi r}\mathit{,}\mathit{ }p\mathit{=}q\mathit{·}r\mathit{,}\mathit{ }M\mathit{=}IA$, $F\mathit{=}\frac{q_{\mathit{1}}{q}_{\mathit{2}}}{\mathit{4}\pi {\mathit{\in }}_{\mathit{0}}{r}^{\mathit{2}}}$

 Where the other symbols $F\mathit{,}\mathit{ }q\mathit{,}\mathit{ }v\mathit{,}\mathit{ }I\mathit{,}\mathit{ }r\mathit{,}\mathit{ }A$  respectively represent force, charge, velocity, current, distance and area.

Find the dimensions of electric permittivity $\left({ϵ}_0\right)$ The relevant equations are :

$F\mathit{=}qE\mathit{,}\mathit{ }F\mathit{=}qvB\mathit{,}\mathit{ }B\mathit{=}\frac{{\mu }_{\mathit{0}}I}{2\pi r}\mathit{,}p\mathit{=}q\mathit{·}r\mathit{,}\mathit{ }M\mathit{=}IA$, $F\mathit{=}\frac{q_1{q}_2}{4\pi {\epsilon }_{\mathit{0}}{r}^2}$ 

Where the other symbols $F\mathit{,}\mathit{ }q\mathit{,}\mathit{ }v\mathit{,}\mathit{ }I\mathit{,}\mathit{ }r\mathit{,}\mathit{ }A$ respectively represent force, charge, velocity, current, distance and area.

Find the dimensions of electric dipole moment $\left(p\right)$, The relevant equations are : 

$F\mathit{=}qE\mathit{,}\mathit{ }F\mathit{=}qvB\mathit{,}\mathit{ }B\mathit{=}\frac{{\mu }_{\mathit{0}}I}{2\pi r}\mathit{,}\mathit{ }p\mathit{=}q\mathit{·}r\mathit{,}\mathit{ }M\mathit{=}IA$,$F\mathit{=}\frac{q_1{q}_2}{4\pi {\epsilon }_{\mathit{0}}{r}^2}$ 

Where the other symbols $F\mathit{,}\mathit{ }q\mathit{,}\mathit{ }v\mathit{,}\mathit{ }I\mathit{,}\mathit{ }r\mathit{,}\mathit{ }A$  respectively represent force, charge, velocity, current, distance and area.

Find the dimensions of, magnetic dipole moment $\left(M\right)$, The relevant equations are :

$F\mathit{=}qE\mathit{,}\mathit{ }F\mathit{=}qvB\mathit{,}\mathit{ }B\mathit{=}\frac{{\mu }_{\mathit{0}}I}{2\pi r}\mathit{,}\mathit{ }p\mathit{=}q·r\mathit{,}\mathit{ }M\mathit{=}IA$ and 

$F\mathit{=}\frac{q_1{q}_2}{4\pi {\mathit{\in }}_{\mathit{0}}{r}^2}$ 

Where the other symbols $F\mathit{,}\mathit{ }q\mathit{,}\mathit{ }v\mathit{,}\mathit{ }I\mathit{,}\mathit{ }r\mathit{,}\mathit{ }A$ respectively represent force, charge, velocity, current, distance and area.