The distance moved by a charged particle along the magnetic field (the component of velocity is parallel to the magnetic field) in one rotation is given by ( m - mass of the particle, v - velocity of the particle, q charge of the particle, B - magnetic field)

Step-by-step solution

If the velocity component v _ y is perpendicular to the magnetic field B , the magnetic force acts like a centripetal force qv _ y B . aligned & q v_y B= m_y^2 r & v_y= q B r m & v_y=r & = q B m aligned Time taken for one revolution T = 2 = 2 m qB The distance moved by a changed particle along the magnetic field. aligned & x=V t & = 2 mv q B aligned