An electron in a magnetic field has a cyclotron frequency of 3.0x 10^12 Hz What is the magnetic fleld strength? (The mass of an electron is 9.1 x 10^-31 kg and the charge of an electron is 16x 10^-19C) A) 0.0093 T B) 110 T C) 12T D) 0.084 T

Respuesta :

Answer:

The magnetic field strength, B = 110 T

Explanation:

It is given that,

Cyclotron frequency, [tex]\nu=3\times 10^{12}\ Hz[/tex]

We need to find the magnetic field strength. The formula for cyclotron frequency is given by :

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

B is the magnetic field strength

q and m are the charge and mass of electron.

[tex]B=\dfrac{2\pi m\nu}{q}[/tex]

[tex]B=\dfrac{2\pi\times 9.1\times 10^{-31}\ kg\times 3\times 10^{12}\ Hz}{1.6\times 10^{-19}\ C}[/tex]          

B = 107.20 T

or

B = 110 T (approx)

So, the magnetic field strength of the electron is 110 T. Hence, this is the required solution.