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.