A particle with mass \(m\), speed \(v\), and positive charge \(q\) enters a uniform magnetic field \(B\) directed perpendicular to its velocity, causing it to travel in a circular path of radius \(r_1\). A second particle with the same mass \(m\) and speed \(v\), but with charge \(2q\), enters the same magnetic field perpendicular to its velocity and travels in a circular path of radius \(r_2\). What is the ratio \(\dfrac{r_2}{r_1}\)?