A rectangular region $A B C D$ contains a uniform magnetic field $B_0$ directed perpendicular to the plane of the rectangle. A narrow stream of charged particles moving perpendicularly to the side $AB$ enters this region and is ejected through the adjacent side $B C$ suffering a deflection through $30^{\circ}$. In order to increase this deflection to $60^{\circ}$, the magnetic field has to be

A particle of specific charge $(q/m)$ is projected from the origin of coordinates with initial velocity $[ui – vj]$. Uniform electric magnetic fields exist in the region along the $+y$ direction, of magnitude $E$ and $B.$ The particle will definitely return to the origin once if

An electron enters a chamber in which an uniform magnetic field is present as shown in figure. Ignore gravity. During its motion inside the chamber 

A beam of electrons is moving with constant velocity in a region having electric and magnetic fields of strength $20\;V{m^{ – 1}}$ and $0.5 T$ at right angles to the direction of motion of the electrons. What is the velocity of the electrons………… $m{s^{ – 1}}$

A charge moving with velocity $v$ in $X$-direction is subjected to a field of magnetic induction in the negative $X$-direction. As a result, the charge will