Question

A charged particle is projected at a very high speed perpendicular to a uniform magnetic field. The particle will

(a) move along a circle
(b) move along a curve with increasing radius of curvature
(c) move along a curve with decreasing radius of curvature
(d) move along a straight line

Answer 1

(a) move along a circle.

If a charged particle is projected at a very high speed perpendicular to a uniform magnetic field, its mass will increase from m_o to$m=\frac{m_o}{\sqrt{1-{\displaystyle \frac{v^2}{c^2}}}}$ and its radius will increase from