A periodic wave is produced on a stretched string. Which one of the following properties is not related to the speed of the wave?

Options

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

Answer

To determine which property is not related to the speed of a periodic wave produced on a stretched string, we can analyze the relationship between wave speed, frequency, wavelength, and amplitude.

### Step-by-Step Solution:

1. **Understand the Wave Speed Formula**:
The speed of a wave (v) on a string is given by the formula:
\[ v = f \cdot \lambda \]
where \( f \) is the frequency of the wave and \( \lambda \) is the wavelength.

2. **Identify Related Properties**:
- **Frequency (f)**: This is directly related to the speed of the wave, as seen in the formula above.
- **Wavelength (λ)**: This is also directly related to the speed of the wave, since increasing the wavelength while keeping frequency constant will increase the speed.
- **Time Period (T)**: The time period is the reciprocal of frequency (\( T = \frac{1}{f} \)). Therefore, it is indirectly related to wave speed through frequency.

3. **Consider Amplitude**:
- **Amplitude (A)**: The amplitude of a wave refers to the maximum displacement of points on a wave from the rest position. Importantly, the amplitude does not affect the speed of the wave. The speed remains constant regardless of how large or small the amplitude is.

4. **Conclusion**:
Based on the analysis, the property that is not related to the speed of the wave is the **Amplitude**.

### Final Answer:
The property that is not related to the speed of the wave is **Amplitude**.

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