A charged particle of mass m and charge q describes circular motion of radius r in a uniform magneti

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4.Moving Charges and Magnetism

easy

A charged particle of mass $m$ and charge $q$ describes circular motion of radius $r$ in a uniform magnetic field of strength $B$. The frequency of revolution is

A

$\frac{{Bq}}{{2\pi m}}$

B

$\frac{{Bq}}{{2\pi rm}}$

C

$\frac{{2\pi m}}{{Bq}}$

D

$\frac{{Bm}}{{2\pi q}}$

Solution

(a) Time period is given by $T = \frac{{2\pi m}}{{qB}}$
$==>$ Frequency $\nu = \frac{1}{T} = \frac{{qB}}{{2\pi m}}$

Standard 12

Physics

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