If $\varepsilon_0$ is the permittivity of free space and $E$ is the electric field, then $\varepsilon_0 E^2$ has the dimensions
$\left[\mathrm{M}^0 \mathrm{~L}^{-2} \mathrm{TA}\right]$
$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$
$\left[\mathrm{M}^{-1} \mathrm{~L}^{-3} \mathrm{~T}^4 \mathrm{~A}^2\right]$
$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}\right]$
Out of the following, the only pair that does not have identical dimensions is
The physical quantity which has the dimensional formula ${M^1}{T^{ - 3}}$ is
The dimension of $P = \frac{{{B^2}{l^2}}}{m}$ is
where $B=$ magnetic field, $l=$ length, $m =$ mass
Which of the following relation cannot be deduced using dimensional analysis? [the symbols have their usual meanings]
In a system of units if force $(F)$, acceleration $(A) $ and time $(T)$ are taken as fundamental units then the dimensional formula of energy is