Two waves of the same pitch have amplitudes in the ratio 1 : 3. What will be the ratio of their :
frequencies?

Options

A. 1:9
B. 9:1
C. 1:1
D. no change

Explanation

To solve the problem, we need to understand the relationship between amplitude, frequency, and pitch of sound waves.

### Step-by-Step Solution:

1. **Understanding the Terms**:
- **Amplitude**: This is the height of the wave and is related to the loudness of the sound.
- **Frequency**: This is the number of waves that pass a point in one second and is related to the pitch of the sound.

2. **Given Information**:
- We have two waves with amplitudes in the ratio of 1:3.
- Both waves have the same pitch.

3. **Understanding Pitch**:
- Pitch is determined by the frequency of the sound. If two waves have the same pitch, they must have the same frequency.

4. **Analyzing the Amplitude**:
- The amplitude of a wave does not affect its frequency. Therefore, even though the amplitudes of the two waves are different (1 and 3), this does not influence their frequencies.

5. **Conclusion**:
- Since both waves have the same pitch, their frequencies must also be the same.

6. **Final Answer**:
- The ratio of their frequencies is 1:1.