A charge q, moving with velocity `upsilon`, enters a uniform magnetic field. The charge keeps on revolving along a closed circular path in the magnetic field. The frequency of revolution does not depend upon

Options

A. mass of the charge particle
B. velocity of the charge particle
C. magnitude of charge particle
D. intensity of the magnetic field

Answer

To solve the problem, we need to analyze the motion of a charged particle in a magnetic field and determine the factors that affect the frequency of its revolution.

### Step-by-Step Solution:

1. **Understanding the Motion of a Charged Particle in a Magnetic Field**:
- When a charged particle with charge \( q \) moves with a velocity \( v \) in a uniform magnetic field \( B \), it experiences a magnetic force that acts as a centripetal force, causing it to move in a circular path.

2. **Expression for the Radius of the Circular Path**:
- The radius \( R \) of the circular path can be expressed using the formula:
\[ R = \frac{mv}{qB} \]
- Here, \( m \) is the mass of the charged particle, \( v \) is its velocity, \( q \) is the charge, and \( B \) is the magnetic field strength.

3. **Calculating the Time Period of Revolution**:
- The time period \( T \) for one complete revolution can be calculated as the circumference of the circular path divided by the velocity:
\[ T = \frac{2\pi R}{v} \]
- Substituting the expression for \( R \):
\[ T = \frac{2\pi \left(\frac{mv}{qB}\right)}{v} = \frac{2\pi m}{qB} \]

4. **Finding the Frequency of Revolution**:
- The frequency \( f \) is the reciprocal of the time period:
\[ f = \frac{1}{T} = \frac{qB}{2\pi m} \]

5. **Analyzing the Dependence of Frequency**:
- From the expression \( f = \frac{qB}{2\pi m} \), we can see that the frequency of revolution depends on:
- The charge \( q \) of the particle
- The magnetic field strength \( B \)
- The mass \( m \) of the particle
- However, it does not depend on the velocity \( v \) of the charged particle.

6. **Conclusion**:
- Therefore, the frequency of revolution does not depend on the velocity of the charged particle.

### Final Answer:
The frequency of revolution does not depend on the velocity of the charged particle.