A proton of mass ' \(m\) ' moving with a speed \(v(<<c\), velocity of light in vacuum) completes a circular orbit in time ' \(T\) ' in a uniform magnetic field. If the speed of the proton is increased to \(\sqrt{2} \mathrm{v}\), what will be time needed to complete the circular orbit?
(A) \(\sqrt{2} \mathrm{~T}\)
(B) \(\mathrm{T}\)
(C) \(\frac{T}{\sqrt{2}}\)
(D) \(\frac{\mathrm{T}}{2}\)
