A proton of charge +e and mass 1.67×10−27kg enters a region where a uniform magnetic field of 0.15T is directed along the positive z-axis. The proton’s velocity makes an angle of 30∘ with the field direction and has a magnitude of 3.0×106ms−1. Determine:
a. (i) the radius of the helical path
b. (ii) the pitch (axial distance moved in one full turn) of the helix