A non-conducting uniform rod of length  $l=\frac{6}{5}\mathrm{m}$ and mass  $m$, is uniformly charged with charge  $q$ and released from rest when it is horizontal. A uniform magnetic field $B_0\widehat{k}$ is existing in space perpendicular to the plane of motion of the rod. If hinge reaction at the instant, when rod is vertical is  $2mg$, then the value of  $\frac{mg}{B_{0}ql}$ (in SI unit) is $\left(g=10m/s^2\right)$