A charged particle enters a uniform magnetic field with velocity vector making an angle of 30^o with

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4.Moving Charges and Magnetism

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A charged particle enters a uniform magnetic field with velocity vector making an angle of $30^o$ with the magnetic field. The particle describes a helical trajectory of pitch $x$ . The radius of the helix is

A

$\frac{x}{{2\pi }}$

B

$\frac{x}{{2\sqrt 2 \pi }}$

C

$\frac{x}{{2\sqrt 3 \pi }}$

D

$\frac{{\sqrt 3 x}}{{2\pi }}$

Solution

$\mathrm{p}=\frac{2 \pi \mathrm{mv} \cos \theta}{\mathrm{qB}}$

$\mathrm{R}=\frac{\mathrm{mv} \sin \theta}{\mathrm{qB}}=\frac{\mathrm{p}}{2 \pi} \tan \theta$

Standard 12

Physics

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