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I want answer of one question with proper hint and solution.

Question.a charged particle moving in a magnetic field of strength B perpendicular to the direction of field. if q and m denotes the charge and mass of particle respectively the frequency of particle rotating is

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The magnitude of the angular velocity,

Î©c =

|q| B

m

is known as the angular frequency of gyration, and is also called the gyrofrequency,

or cyclotron frequency or Larmor frequency. For an electron

|q| = 1.602 Ã— 10âˆ’19 coulomb and m = 9.109 Ã— 10âˆ’31 kg, so that

Î©c(electron) = 1.76 Ã— 1011B (rad/s) (4.11)

with B in tesla (or, equivalently, weber/m2). Similarly, for a proton

m = 1.673 Ã— 10âˆ’27 kg, so that

Î©c(proton) = 9.58 Ã— 107B (rad/s) (4.12)

The radius of the circular orbit, given by

rc = vâŠ¥

Î©c

= mvâŠ¥

|q| B

(4.13)

is called the radius of gyration, or gyroradius, or cyclotron radius, or

Larmor radius. It is important to note that Î©c is directly proportional

to B. Consequently, as B increases, the gyrofrequency increases and the

radius decreases. Also, the smaller the particle mass the larger will be

its gyrofrequency and the smaller its gyroradius.

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bravo.

Everything is about the physical challenge for meã€‚

Posts: 3

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Joined: Nov 2014

bravo.

Everything about the physical challenge for me