There is a magnetic field acting in a plane perpendicular to the sheet of paper downward into the paper as shown in figure, a particle in vacuum moves in the plane of paper from left to right as shown in figure. The path indicated by the arrow could be travelled by

A particle having a charge of $10\mathrm{\mu }C$ and mass $1\mathrm{\mu }g$ moves in a horizontal circle of radius $10 \mathrm{cm}$ under the influence of a magnetic field of $0.1 T.$ When the particle is at a point $P,$ a uniform electric field is switched on so that the particle starts moving along the tangent with uniform velocity. The electric field is

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