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 first need to understand the formula for cyclotron frequency. The cyclotron frequency (f) is given by:

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

Where:
- \( f \) = cyclotron frequency
- \( q \) = charge of the particle
- \( B \) = magnetic field strength
- \( m \) = mass of the particle

### Step-by-Step Solution:

1. **Identify the formula for cyclotron frequency**:
The cyclotron frequency is defined as:
\[ f = \frac{qB}{2\pi m} \]

2. **Analyze the components of the formula**:
- The frequency \( f \) depends on the charge \( q \) of the particle.
- It also depends on the magnetic field strength \( B \).
- The mass \( m \) of the particle is also a factor in the equation.

3. **Determine what is not included in the formula**:
- The formula does not include the velocity \( v \) of the particle or the radius \( r \) of the circular path.
- Therefore, cyclotron frequency does not depend on the velocity of the particle or the radius of the circular motion.

4. **Conclusion**:
From the analysis, we can conclude that the cyclotron frequency does not depend on the velocity of the particle or the radius of the circular path.

### Final Answer:
Cyclotron frequency does not depend on the velocity of the particle or the radius of the circular motion.