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>>Motion of Charged Particle Combined in Magnetic Field and Electric Fields
>> $A charged particle is projected in a pla$

Question

A charged particle is projected in a plane perpendicular to uniform magnetic field. The areal velocity (area swept per unit time) of the particle is :

This question has multiple correct options

A

directly proportional to kinetic energy of particle

B

directly proportional to momentum of the particle

C

inversely proportional to magnetic field strength

D

inversely proportional to charge on particle

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Updated on : 2022-09-05

Solution

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Correct options are A) , B) , C) and D)

$F = q v B$

$r = \frac{m v}{q B}$

areal velocity $= \frac{π r ^{2}}{T}$

$= π (\frac{m v}{q B})^{2} \times \frac{q B}{2 π m}$

$= \frac{m v ^{2}}{2 q B}$

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