The foundations of dimensional analysis were laid down by

The dimension of $\frac{1}{2} \varepsilon_0 E ^2$, where $\varepsilon_0$ is permittivity of free space and $E$ is electric field, is

A physical quantity of the dimensions of length that can be formed out of $c, G$ and $\frac{e^2}{4\pi \varepsilon _0}$  is $[c$ is velocity of light, $G$ is the universal constant of gravitation and $e$ is charge $] $

The dimensions of ${e^2}/4\pi {\varepsilon _0}hc$, where $e,\,{\varepsilon _0},\,h$ and $c$ are electronic charge, electric permittivity, Planck’s constant and velocity of light in vacuum respectively

If $C$ and $R$ represent capacitance and resistance respectively, then the dimensions of $RC$ are

If $x$  and $a$ stand for distance then for what value of $n$ is given equation dimensionally correct the eq. is  $\int {\frac{{dx}}{{\sqrt {{a^2}\, - \,{x^n}} \,}}\, = \,{{\sin }^{ - 1}}\,\frac{x}{a}} $