Question

A solenoid, 50 cm long with a diameter of 10 cm, generates a uniform magnetic field for an experiment. Electrons in this magnetic field undergo cyclotron motion with a frequency of 450 MHz. The solenoid consists of 2000 turns of wire.

Which of the following statements about the solenoid is correct?
A. The length of the solenoid is 10 cm.
B. The diameter of the solenoid is 50 cm.
C. The solenoid generates a non-uniform magnetic field.
D. Electrons undergo cyclotron motion with a frequency of 450 MHz in the solenoid.
E. The solenoid has 500 turns of wire.

Answer 1

The correct statement about the solenoid is that electrons undergo cyclotron motion with a frequency of 450 MHz within its uniform magnetic field. Option d is the answer.

Step-by-step explanation:

The correct statement about the solenoid mentioned in the student's question is D. Electrons undergo cyclotron motion with a frequency of 450 MHz in the solenoid.

This indicates that the solenoid generates a uniform magnetic field that allows electrons to move in a circular path at a steady frequency. The solenoid has 2000 turns of wire and its length and diameter are given as 50 cm and 10 cm respectively, which rules out options A, B, and E.

Solenoids typically generate a uniform magnetic field in their interior when they are long relative to their diameter, thus option C is also incorrect.