An electric field E and a magnetic field B applied on a proton which moves with velocity
v, it goes undeflected through the region if :

A proton, deutron and α-particle are accelerated by same potential, enters in uniform
magnetic field perpendicularly. Ratio of radii of circular path respectively :

An electron \left(mass = 9.1\times 10^{-31}kg; Charge=-1.6\times 10^{-19}C \right) experiences no deflection if subjected to an electric field of \[3.2\times 10^{5} V/m\] and a magnetic field of 2.0 × 10-³ Wb/m² . Both the fields are normal to the path of electron and to each other . If the electric field is removed, then the electron will revolve in an orbit of radius:

A particle having charge of 1 C, mass 1 kg and speed 1 m/s enters a uniform magnetic field, having magnetic induction of 1 T, at an angle θ = 30° between velocity vector and magnetic induction. The pitch of its helical path is (in meters)

An electron moves in the plane of the page through two regions of space along the
dotted-line trajectory shown in the figure. There is a uniform electric field in Region-I directed
into the plane of the page (as shown). There is no electric field in Region-II. What is a
necessary direction of the magnetic field in regions I and II ? Ignore gravitational forces.

Two particles X and Y having equal charges, after being accelerated through the same potential
difference, enter a region of uniform magnetic field and describe circular paths of radii R1 and
R2 respectively. The ratio of masses of X and Y is :-

A beam of electrons is projected horizontally to the right. A straight conductor carrying a current is supported parallel to the electron beam and above it. If the current in the conductor is from left to right, what will be the effect on the electron beam ?

A uniform electric field and a uniform magnetic field are produced, pointed in the same direction. An electron is projected with its velocity pointed in the same direction :-

An electron moving with a speed u along the positive x-axis at y = 0 enters in a region of
uniform magnetic field \[\overrightarrow{B}=-B_{0}\hat{k}\] which exists to
the right of y-axis. The electron exits from the region after some time with speed v at coordinate
y, then :-

When a charged particle moving with velocity \[\overrightarrow{v}\] is subjected to a magnetic field of induction \[\overrightarrow{B}\] , the force on it is non-zero. This implies the :