Two sounds, waves, having sinusoidal wave from but different wavelengths and different amplitudes are said to have

Options

A. the same quality but different intensity
B. different quality but same intensity
C. same quality and same intensity
D. different quality and different intensity.

Answer

To solve the question, we need to analyze the properties of the two sound waves described. Here’s a step-by-step solution:

### Step 1: Understand the Properties of Sound Waves
Sound waves can be characterized by several properties, including wavelength, amplitude, frequency, intensity, and quality (timbre).

### Step 2: Identify the Given Conditions
The question states that we have two sound waves that are:
- Sinusoidal in form
- Have different wavelengths
- Have different amplitudes

### Step 3: Analyze the Effect of Wavelength and Amplitude
1. **Wavelength**: Different wavelengths imply that the frequencies of the sound waves are also different (since frequency is inversely proportional to wavelength). This can affect the quality of the sound.
2. **Amplitude**: Different amplitudes mean that the intensity of the sound waves will also differ. Intensity is directly proportional to the square of the amplitude.

### Step 4: Determine the Quality and Intensity
- **Quality (Timbre)**: The quality of sound is determined by the harmonic content of the sound wave. Since the question does not specify any information about the harmonic content, we cannot conclude that the qualities are the same. Thus, we can say that the quality could be different.
- **Intensity**: Since the amplitudes are different, the intensities of the two sound waves will also be different.

### Step 5: Conclusion
Based on the analysis:
- The two sound waves have **different qualities** (due to different wavelengths affecting harmonic content) and **different intensities** (due to different amplitudes).

Thus, the correct answer is: **different quality and different intensity**.

### Final Answer
The two sound waves are said to have **different quality and different intensity**.

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