Of the following properties of a wave, the one that is independent of the others is its :

Options

A. Velocity
B. Frequency
C. Amplitude
D. Wavelength

Explanation

To solve the question of which property of a wave is independent of the others, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Properties of a Wave**:
The common properties of a wave include velocity (v), frequency (f), wavelength (λ), and amplitude (A).

2. **Understand the Relationships**:
- The relationship between velocity, frequency, and wavelength is given by the equation:
\[ v = f \cdot \lambda \]
This indicates that velocity is dependent on both frequency and wavelength.

3. **Analyze Each Property**:
- **Velocity (v)**: Depends on frequency and wavelength.
- **Frequency (f)**: Depends on the source of the wave and affects wavelength and velocity.
- **Wavelength (λ)**: Determined by the frequency and velocity of the wave.
- **Amplitude (A)**: Represents the maximum displacement of the wave and does not depend on frequency, wavelength, or velocity.

4. **Conclusion**:
Since amplitude is not influenced by the other three properties (velocity, frequency, and wavelength), it is the only property that is independent of the others.

5. **Final Answer**:
The property of a wave that is independent of the others is **Amplitude (A)**.