A proton and an alpha-particle moving with the same velocity enter a uniform magnetic field with their velocities perpendicular to the magnetic field. The ratio of radii of their circular paths is

Step-by-step solution

Radius of charged particle moving on circular path in uniform magnetic field, aligned r & = m v B q r & m q r_p r_ & = m_p m_ q_ q_p = m_p 4 m_p 2 e e = 1 2 aligned r_p: r_ =1: 2