A charged particle is moving with a speed (v) perpendicular to a uniform magnetic field. A second identical charged particle is moving with speed (2v) perpendicular to the same magnetic field. the frequency of revolution of the first particle is f. The frequency of revolution of the second particle is:
A. f
B. 2f
C. 4f
D. f/2

Respuesta :

Answer:

The frequency of revolution of the second particle is f

Explanation:

When an object is moving under the magnetic field on a circular [path, the centripetal force is balanced by the magnetic force as :

[tex]\dfrac{mv^2}{r}=qvB[/tex]

Since,

[tex]v=r\omega[/tex]

and

[tex]\omega=2\pi f[/tex]

On rearranging the above equation, the formula for the frequency pf revolution is given by :

[tex]f=\dfrac{qB}{2\pi m}[/tex]

It is clear that the frequency is independent of the velocity. So, the frequency of revolution of the second particle remains the same i.e. f