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>>Motion of Charged Particle Combined in Magnetic Field and Electric Fields
>> $A charged particle of charge Q and mass$

Question

A charged particle of charge $Q$ and mass $m$ moves with velocity $v$ in a circular path due to transverse magnetic field $B$ , then its frequency is

A

$\frac{Q B}{2 π m}$

B

$\frac{Q v B}{2 π m}$

C

$\frac{Q m v B}{2 π}$

D

$\frac{v B}{2 π Q m}$

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Updated on : 2022-09-05

Solution

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Correct option is A)

Magnetic Field $= B$
Centrifugal Force = $\frac{m v ^{2}}{R}$
Magnetic Force $= Q v B$
$\frac{m v ^{2}}{R} = Q v B$
$v = \frac{Q B R}{m}$
frequency = $\frac{v}{2 π R} = \frac{Q B}{2 π m}$

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