Final answer:
The maximum frequency of the microwaves is 2.5 GHz, and the maximum diameter of the electron orbit is 2.2 cm. The velocity of the electrons can be calculated using the formula maximum frequency = charge of electron x magnetic field strength / (2 x pi x mass of electron).
Step-by-step explanation:
The maximum frequency of the microwaves produced by the magnetron is 2.5 GHz.
The maximum diameter of the electron orbit before the electron hits the wall of the tube is given as 2.2 cm.
Using the formula for the maximum frequency of a free electron's cyclotron motion, we can calculate the velocity of the electrons. The maximum frequency is related to the magnetic field strength and the velocity of the electrons through the equation: maximum frequency = charge of electron x magnetic field strength / (2 x pi x mass of electron).