Consider a long thin conducting wire carrying a uniform current I. A particle having mass " M " and charge " q " is released at a distance " a " from…

Consider a long thin conducting wire carrying a uniform current I . A particle having mass " M " and charge " q " is released at a distance " $\displaystyle a$ " from the wire with a speed $\displaystyle \mathrm{v}_{\mathrm{o}}$ along the direction of current in the wire. The particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance $\displaystyle x$ from the wire. The value of $\displaystyle x$ is [ $\displaystyle \mu_0$ is vacuum permeability]