A long straight wire carries a certain current and produces a magnetic field 2 $$ \times $$ 10^$$-$$4 Wb m^$$-$$2 at a perpendicular distance of 5 cm from the wire. An electron situated at 5 cm from the wire moves with a velocity 10⁷ m/s towards the wire along perpendicular to it. The force experienced by the electron will be (charge on electron 1.6 $$ \times $$ 10^$$-$$19 C)

When a proton is released from rest in a room, it starts with an initial acceleration $$a$$₀ towards west. When it is projected towards north with a speed $$v$$₀ it moves with an initial acceleration 3$$a$$₀ towards west. The an initial accelearation 3a₀ towards west. The an initial acceleration 3$$a$$₀ toward west. The electric and magnetic fields in the room are

A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an $$\alpha $$-particle to describe a circle of same radius in the same field?

An alternating electric field, of frequency $$v$$, is applied across the does (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by