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A charged particle moves through a magne...

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

A

both momentum and kinetic energy of the particle are not constant.

B

both momentum and kinetic energy of the particle are constant.

C

kinetic energy changes but the momentum is constant.

D

the momentum changes but the kinetic energy is constant.

Text Solution

Verified by Experts

The correct Answer is:
D
The Lorentz force formula is
`vecF = q ( vecv xx vecB)`
clearly, the direction of velocity (direction of displacement) is perpendicular to the magnetic or lorentz force. Therefore, there will be no work done on the charged particle, hence, kinetic energy will remain constant. However, the direction of its velocity will change because of circular motion. Therefore, momentum will change.
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