The quantum hall resistance $R_H$ is a fundamental constant with dimensions of resistance. If $h$ is Planck's constant and $e$ is the electron charge, then the dimension of $R_H$ is the same as
$\frac{e^2}{h}$
$\frac{h}{e^2}$
$\frac{h^2}{e}$
$\frac{e}{h^2}$
The dimensions of $K$ in the equation $W = \frac{1}{2}\,\,K{x^2}$ is
Inductance $L$ can be dimensionally represented as
Plane angle and solid angle have :
Let $[{\varepsilon _0}]$ denotes the dimensional formula of the permittivity of the vacuum and $[{\mu _0}]$ that of the permeability of the vacuum. If $M = {\rm{mass}}$, $L = {\rm{length}}$, $T = {\rm{Time}}$ and $I = {\rm{electric current}}$, then
Identify the pair of physical quantities which have different dimensions