Change in temperature of the medium changes a) frequency of sound waves b) amplitude of sound waves c) wavelength of sound waves. d) loudness of sound waves

Options

A. frequency of sound waves
B. amplitude of sound waves
C. wavelength of sound waves.
D. loudness of sound waves

Explanation

To determine how a change in temperature of a medium affects sound waves, we need to analyze the relationship between temperature, velocity, frequency, wavelength, and loudness of sound waves.

### Step-by-Step Solution:

1. **Understanding the Relationship**:
The speed of sound in a medium is affected by the temperature of that medium. As the temperature increases, the speed of sound generally increases as well.

2. **Using the Wave Equation**:
The wave equation relates frequency (f), wavelength (λ), and velocity (v) of sound waves:
\[ v = f \cdot \lambda \]
Here, v is the velocity of sound, f is the frequency, and λ is the wavelength.

3. **Effect of Temperature on Velocity**:
When the temperature of the medium changes, it alters the speed of sound (v). For example, in air, the speed of sound increases with an increase in temperature.

4. **Frequency Remains Constant**:
The frequency of a sound wave is determined by the source of the sound and does not change with the temperature of the medium. Therefore, we can say that frequency (f) remains constant.

5. **Calculating the Change in Wavelength**:
Since the frequency is constant and the velocity changes with temperature, we can rearrange the wave equation to find the new wavelength:
\[ \lambda = \frac{v}{f} \]
As the velocity (v) increases with temperature, the wavelength (λ) must also increase to maintain the equality, since f is constant.

6. **Conclusion**:
Therefore, when the temperature of the medium changes, the wavelength of sound waves changes. The correct answer to the question is:
**c) wavelength of sound waves.**