Cyclotron frequency does not depend upon.

Options

A. Radius
B. Velocity
C. Magnetic induction
D. None of these

Answer

To determine what cyclotron frequency does not depend upon, we can analyze the formula for cyclotron frequency. The cyclotron frequency \( f \) is given by:

\[ f = \frac{qB}{2\pi m} \]

where:
- \( f \) is the cyclotron frequency,
- \( q \) is the charge of the particle,
- \( B \) is the magnetic field strength,
- \( m \) is the mass of the particle.

From the formula, we can see that the cyclotron frequency depends on the charge \( q \), the magnetic field strength \( B \), and the mass \( m \) of the particle.

Now, let’s analyze what it does not depend on:

1. **Radius (r)**: The formula does not include the radius of the circular path. Therefore, the cyclotron frequency does not depend on the radius of the path taken by the charged particle.

2. **Velocity (v)**: The formula also does not include the velocity of the particle. Hence, the cyclotron frequency does not depend on the velocity of the particle.

3. **Magnetic Induction (B)**: The frequency is directly proportional to the magnetic field \( B \), so it does depend on this quantity.

Thus, the correct answer to the question is that the cyclotron frequency does not depend on the radius and the velocity of the particle.

### Final Answer:
Cyclotron frequency does not depend upon:
- Radius of the circular path
- Velocity of the charged particle