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# A charged particle is fired at an angle θ to a uniform magnetic field directed along the x-axis. During its motion along a helical path, the particle willnever move perpendicular to the x−directionnever move parallel to the x−axismove parallel to the x−axis once during every rotation for all values of θmove parallel to the x−axis at least once during every rotation if θ=45o

A
never move perpendicular to the xdirection
B
move parallel to the xaxis once during every rotation for all values of θ
C
move parallel to the xaxis at least once during every rotation if θ=45o
D
never move parallel to the xaxis
Solution
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#### The component of velocity v along the direction of B is vcosθ.Since the trajectory will be helical, the trajectory will never be perpendicular to the direction of magnetic field B, it's trajectory will be inclined at a small angle to the direction of the magnetic field. It will also never move parallel to x−axis.

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