A charged particpe is in motion having initial v when it enters into a region of uniform magnetic field perpendicular to v. Because of the magnetic force the kinetic energy of the particle will
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The magnetic force acts perpendicular to the velocity of the particle. This causes circular motion. In the magnetic field, the speed and kinetic energy of the particle remains constant, but the direction is altered at each instant by the perpendicular magnetic force.
Hence the kinetic energy remains constant
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