In a certain region of space, there exists a uniform and constant electric field of strength E along x-axis and uniform constant magnetic field of induction B along z-axis. A charge particle having charge q and mass m is projected with speed v parallel to x-axis from a point (a, b, 0). When the particle reaches a point 2a, `b//2`, 0 its speed becomes 2v. Find the value of electric field strength in term of m, v and co-ordinates.

In a certain region of space, there exists a uniform and constant electric field of strength E along x-axis and uniform constant magnetic field of induction B along z-axis. A charge particle having charge q and mass m is projected with speed v parallel to x-axis from a point (a, b, 0). When the particle reaches a point 2a, b//2 , 0 its speed becomes 2v. Find the value of electric field strength of m, v and co-ordinates.

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. z-coordinate of the particle as a function of time after the magnetic field is switched on is

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. x-coordinate of the particle as a function of time after the magnetic field is switched on is

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. Velocity of the particle just before the magnetic field is switched on is

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,

A uniform magnetic field B=B_(0)hatj exists in space. A particle of mass m and charge q is projected towards X-axis with speed v from a point (a,0, 0). The maximum value of v for which the particle does not hit the Y-Z plane is

Electric field E = – bx + a exists in a region parallel to the X direction (a and b are positive constants). A charge particle having charge q and mass m is released from the origin X = 0. Find the acceleration of the particle at the instant its speed becomes zero for the first time after release.

A plane electromagnetic wave travels in free space along x-axis. At a particular point in space, the electric field along y-axis is 9.3 V m^(–1) . The magnetic induction (B) along z-axis is

There exist uniform magnetic and electric fields of manitudes 1T and 1Vm^-1 respectively, along positive y-axis. A charged particle of mass 1kg and charge 1C is having velocity 1ms^-1 along x-axis and is at origin at t=0. Then, the coordinates of the particle at time pis will be