The magnetic field vector of an electromagnetic wave is given by \( \vec{B} = B_0 \frac{\hat{i} + \hat{j}}{\sqrt{2}} \cos(kz - \omega t) \); where \(\hat{i}, \hat{j}\) represents unit vector along x and y-axis respectively. At \(t = 0\) s, two electric charges \(q_1\) of \(4\pi\) coulomb and \(q_2\) of \(2\pi\) coulomb located at \((0, 0, \frac{\pi}{k})\) and \((0, 0, \frac{3\pi}{k})\), respectively, have the same velocity of \(0.5\,c\,\hat{i}\), (where c is the velocity of light). The ratio of the force acting on charge \(q_1\) to \(q_2\) is :