A particle with rest mass \(m\) and positive charge \(q\) travels at constant speed \(v\) in a circular orbit perpendicular to a uniform magnetic field of magnitude \(B\).

The magnitude of the particle's relativistic momentum is given by \(p = \gamma m v\), where \(\gamma = \dfrac{1}{\sqrt{1 - \dfrac{v^2}{c^2}}}\) and \(c\) is the speed of light, resulting in a centripetal force of magnitude \(F_c = \dfrac{\gamma m v^2}{R}\), where \(R\) is the orbital radius.

Which of the following is a correct expression for the orbital period \(T\) of the particle?