A proton of charge and mass enters a region where a uniform magnetic field of is…

PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A proton of charge

+e

and mass

1.67\times10^{-27}\,\text{kg}

enters a region where a uniform magnetic field of

0.15\,\text{T}

is directed along the positive

z

-axis. The proton’s velocity makes an angle of

30^{\circ}

with the field direction and has a magnitude of

3.0\times10^{6}\,\text{m\,s}^{-1}

. Determine: (i) the radius of the helical path (ii) the pitch (axial distance moved in one full turn) of the helix