Question

A charged particle is fired at an angle to a uniform magnetic field directed along the x-axis. During its motion along a helical path, the particle will

This question has multiple correct options
A

never move parallel to the axis

B

move parallel to the axis once during every rotation for all values of

C

move parallel to the axis at least once during every rotation if

D

never move perpendicular to the direction

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Updated on : 2022-09-05
Solution
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Correct options are A) and D)

The component of velocity along the direction of is .
Since the trajectory will be helical, the trajectory will never be perpendicular to the direction of magnetic field , it's trajectory will be inclined at a small angle to the direction of the magnetic field.
It will also never move parallel to axis.

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