A particle having specific charge $\sigma$ is projected in xy plane with a speed v. There exists a uniform magnetic field in z-direction having a fixed magnitude $B_0$. The field is made to reverse its direction after every interval of $\frac{2\pi }{\sigma B_0}$. Calculate the maximum possible separation (in m) between two positions of the particle during its course of motion.  $(given\frac{v}{\sigma B_0}=2metre)$ (Except magnetic force neglect any other force including gravity throughout the motion)