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.

An infinte wire having linear charge density lambda is arranged as shown in fig. A charge particle of mass m and charge q is released charged q is released from point P. Find the initial acceleration of the particle just after the particle is released.

An infinte wire having linear charge density lambda is arranged as shown in fig. A charge particle of mass m and charge q is released charged q is released from point P. Find the initial acceleration of the particle just after the particle is released.

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 region of space a uniform magnetic field exist in positive z direction and there also exists a uniform electric field along positive y direction. A particle having charge + q and mass m is released from rest at the origin. The particle moves on a curve known as cycloid. If a wheel of radius R were to roll on the X axis, a fixed point on the circumference of the wheel would generate this cycloid. Find the radius R. It is given that strength of magnetic and electric fields are B0 and E0 respectively.

A charged particle of mass m and charge e is released from rest in an electric field E. If kinetic energy of particle after time t is E_k and linear momentum is p, then

A charged particle of mass m and charge q is released from rest in an electric field of constant magnitude E . The kinetic energy of the particle after time t is

A charged particle of mass m and charge q is released from rest in an electric field of constant magnitude E . The kinetic energy of the particle after time t is

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.

A charged particle of mass m and charge q is released from rest in a uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after t second is