Question

An α-particle and a proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field. Show the trajectories followed by the two particles in the region of the magnetic field. Find the ratio of the radii of the circular paths which the two particles may describe.

Answer 1

Radius of charged particle in magnetic field

\(r=\frac{m\text{v}}{qB}\)

\(r\,\infty\,\frac{m}{q}\) for same v and B.