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A charged particle moves through a magnetic field perpendicular to its direction. Then:

  1. A
    the momentum changes but the kinetic energy is constant
  2. B
    both momentum and kinetic energy of the particle are not constant
  3. C
    both momentum and kinetic energy of the particle are constant
  4. D
    kinetic energy changes but the momentum is constant

Solution & Step-by-step Explanation

The magnetic force is always perpendicular to the velocity .Since , the work done by the magnetic force is zero .By the Work-Energy Theorem, the kinetic energy remains constant. Consequently, the magnitude of velocity (speed) is constant.However, the force changes the direction of velocity. Since momentum is a vector, a change in direction means the momentum is changing.

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A charged particle moves through a magnetic field perpendicular to its direction. Then:
A
the momentum changes but the kinetic energy is constant
B
both momentum and kinetic energy of the particle are not constant
C
both momentum and kinetic energy of the particle are constant
D
kinetic energy changes but the momentum is constant

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