In the cylindrical region of radius `R=2m`, there exists a time varying magnetic field `B` such that `(dB)/(dt)=2"Tesla"//sec`. A charged particle having charge `q=2C` is placed at the point `P` at a distance `d` from its center `O`. Now, the particle is moved in the direction perpendicular to line `OP` by an external agent up to infinity so that there is no gain in kinetic energy of charged particle. Then

In a certain region of space there exists a constant and uniform magnetic field of induction B. The width of the magnetic field is a. A charged particle having charge q is projected perpendicular to B and along the width the field. If deflection produced by the fiel perpendicular to the width is d, then the magnitud of the momentum of the particle is,

There exists a uniform magnetic field perpendicular to the plane of the figure in a cylindrical region of radius a. The magnetic field is increasing at a constant rate of alpha Ts^(-1) . A particle having charge q is at a point P outside the field region. The particle is slowly moved to infinity. Calculate work done by the external agent on the particle if- (a) the particle is moved in radial direction OP. (b) the particle is moved in a direction perpendicular to OP along PQ.

A charged particle of mass m and charge q is accelerated through a potential differences of V volts. It enters of uniform magnetic field B which is directed perpendicular to the direction of motion of the particle. The particle will move on a circular path of radius

A particle of mass 'm' and charge 'Q' is acceleration in cyclotron. If magnetic field is 'B' and radius cyclotron is r then find the kinetic energy of particle.

A charged particle of mass m and charge q is accelerated through a potential difference of V volts. It enters a region of uniform magnetic field which is directed perpendicular to the direction of motion of the particle. Find the radius of circular path moved by the particle in magnetic field.

A long straight wire carries a charge with linear density lamda . A particle of mass m and a charge q is released at a distance r from the the wire. The speed of the particle as it crosses a point distance 2r is

A uniform magnetic field of induction B is confined to a cyclindrical region of radius R . The magnetic field is increasing at a constant rate of dB//dt (tesla // second). A charge q of mass m , placed at the point P on the periphery of the fixed experiences an acceleration :