For a wave propagating in medium, identify the property that is independent of the others.

Options

A. velocity
B. wavelength
C. frequency
D. all these depend on each other.

Explanation

To solve the question, we need to analyze the properties of a wave propagating in a medium: velocity, wavelength, and frequency. We will determine which property is independent of the others.

### Step-by-Step Solution:

1. **Understanding Wave Properties**:
- A wave has three fundamental properties: velocity (v), wavelength (λ), and frequency (f).
- These properties are related by the equation:
\[ v = f \cdot \lambda \]
- Here, \(v\) is the velocity of the wave, \(f\) is the frequency, and \(λ\) is the wavelength.

2. **Effect of Medium on Wave Properties**:
- When a wave travels from one medium to another, its velocity changes due to the different properties of the mediums (like density and elasticity).
- As the velocity changes, the wavelength also adjusts according to the equation \(v = f \cdot \lambda\).

3. **Frequency Independence**:
- The frequency of a wave is determined by the source of the wave and remains constant when the wave enters a different medium.
- Therefore, while velocity and wavelength can change when a wave enters a new medium, the frequency does not change.

4. **Conclusion**:
- From the analysis, we conclude that the frequency is independent of the other properties (velocity and wavelength) when a wave propagates through different media.
- Thus, the answer to the question is that the frequency is the property that is independent of the others.

### Final Answer:
The property that is independent of the others for a wave propagating in a medium is **frequency (f)**.

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