A proton and an -particle, moving with the same velocity, enter into a uniform magnetic field, acting normal to the plane of their motion. The ratio of the radii of the circular paths described by the proton and -particle is

Step-by-step solution

While describing circular path, the centripetal and centrifugal forces are balancing each other. m v^2 r =q v B (as the uniform magnetic field is acting normal to the plane) aligned & r= m v q B r_p r_ = m_p v e B 2 e B m_ v = 2 m_p 4 m_p [ as m_ =4 m_p ] & r_p: r_ =1: 2 aligned