A particle of charge per unit mass $\alpha$ is released from the origin with a velocity $\overrightarrow{v}=v_0\hat{i}$ in a uniform magnetic field $\overrightarrow{B}=-B_0\hat{k}$. If the particle passes through $(0, y, 0)$ then $y$ is equal to

A particle of mass $m$ and charge $q$ moving with velocity $v=\frac{qBI}{2m}$ enters region$-\mathrm{II}$ normal to the boundary as shown in the figure. Region$-\mathrm{II}$ has a uniform magnetic field $B$ perpendicular to the plane of paper. The particle will

A charged particle enters a magnetic field at right angles to the magnetic field. The field exists for a length equal to $1.5$ times the radius of circular path of the particle. The particle will be deviated from its path by