A charged particle oscillates about its mean equilibrium position with a frequency of `10^(9)` Hz. The frequency of electromagnetic waves produced by the oscillator is

Options

A. `10^(6)Hz`
B. `10^(7)Hz`
C. `10^(8)Hz`
D. `10^(9)Hz`

Explanation

To solve the problem, we need to understand the relationship between the oscillation of a charged particle and the electromagnetic waves it produces.

### Step-by-Step Solution:

1. **Identify the Frequency of Oscillation**:
The problem states that a charged particle oscillates about its mean equilibrium position with a frequency of \(10^9\) Hz.

2. **Understand the Nature of the Oscillation**:
When a charged particle oscillates, it creates a changing electric field around it. According to electromagnetic theory, a changing electric field generates a magnetic field, and together they propagate as electromagnetic waves.

3. **Relate Oscillation Frequency to Electromagnetic Waves**:
The frequency of the electromagnetic waves produced by the oscillating charged particle is equal to the frequency of the oscillation of the particle itself. This is because the oscillation of the charge leads to the generation of electromagnetic radiation at the same frequency.

4. **Conclusion**:
Therefore, the frequency of the electromagnetic waves produced by the oscillator is also \(10^9\) Hz.

### Final Answer:
The frequency of electromagnetic waves produced by the oscillator is \(10^9\) Hz.

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