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

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 the wire with a speed vo 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 x from the wire. The value of x is [0 is vacuum permeability]  

                                                                  (JEE-2025)