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 2v, what will be time needed to complete the circular orbit?
(A) √2T
(B) T
(C) T/√2
(D) T/2
The correct option (B) T
Explanation:
T = 2mπ/qB
T is independent of v.