i want answer of one question with solution

[pratiksha budhwant]

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

[srsethu99]

The magnitude of the angular velocity,
Ωc =
|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 × 10−19 coulomb and m = 9.109 × 10−31 kg, so that
Ωc(electron) = 1.76 × 1011B (rad/s) (4.11)
with B in tesla (or, equivalently, weber/m2). Similarly, for a proton
m = 1.673 × 10−27 kg, so that
Ωc(proton) = 9.58 × 107B (rad/s) (4.12)
The radius of the circular orbit, given by
rc = v⊥
Ωc
= mv⊥
|q| B
(4.13)
is called the radius of gyration, or gyroradius, or cyclotron radius, or
Larmor radius. It is important to note that Ωc 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.

[mesinne]

bravo.
Everything is about the physical challenge for me。

[mesinne]

bravo.
Everything about the physical challenge for me