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A charged particle is fired at an angle ...

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

A

never move parallel to x-axis

B

`tan theta = 1//pi`

C

`sin theta = 1//pi`

D

`tan theta = pi`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Pitch `= (2 pi (m)/(phi B)) v cos theta`
Also mv `sin theta = QBR`
For motion perpendicular to the magnetic field
or, `r = (mv)/(QB) sin theta`
Maximum distance of the particle from the x-axis = 2r
`:. [2pi (m)/(QB)] V cos theta = 2 (mv)/(QB) sin theta`
or `tan theta = pi`
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