chapter 15 multiple choice question 53
1 part | -- of 1 point
which pairing of terms is incorrectly related?
○ quality of a sound: frequency of the sound
○ frequency of sound waves: number of wavelengths
○ amplitude of a sound: intensity of the sound
○ frequency of sound waves: loudness of the sound

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Accepted Answer

# Brief Explanations:
To solve this, we analyze each pairing:
- **Quality of a sound**: Related to the complexity of sound waves (timbre), not frequency (frequency relates to pitch).
- **Frequency of sound waves**: Defined as the number of wavelengths per unit time (so this pairing is correct).
- **Amplitude of a sound**: Relates to the intensity (energy) of the sound (correct pairing).
- **Frequency of sound waves**: Relates to pitch, while loudness is related to amplitude. So "frequency of sound waves: loudness of the sound" is incorrect? Wait, no—wait, the first option: "quality of a sound: frequency of the sound" is incorrect because quality (timbre) is about wave complexity, frequency is pitch. Wait, let's re - check:

1. Quality (timbre) of sound: Depends on the harmonic content, not frequency. Frequency determines pitch. So "quality of a sound: frequency of the sound" is an incorrect pairing.

2. Frequency of sound waves: Is the number of cycles (wavelengths) per unit time, so "frequency of sound waves: number of wavelengths" (per unit time, implied) is correct.

3. Amplitude of a sound: Relates to the intensity (power per unit area) of the sound, so that pairing is correct.

4. Frequency of sound waves: Determines pitch, while loudness is related to amplitude. But wait, the first option is about "quality" and frequency. So the incorrect pairing is "quality of a sound: frequency of the sound". Wait, but let's check the last option: "frequency of sound waves: loudness of the sound"—loudness is related to amplitude, not frequency. Wait, there's a mistake in my initial analysis. Let's recall:

- Pitch ↔ Frequency (higher frequency = higher pitch)
- Loudness ↔ Amplitude (higher amplitude = louder)
- Quality (timbre) ↔ Waveform (harmonic content)
- Intensity ↔ Amplitude (intensity is proportional to amplitude squared)

So:

- "quality of a sound: frequency of the sound": Incorrect (quality is timbre, not frequency)
- "frequency of sound waves: number of wavelengths" (per unit time): Correct (frequency = number of cycles/wavelengths per second)
- "amplitude of a sound: intensity of the sound": Correct (intensity ∝ amplitude²)
- "frequency of sound waves: loudness of the sound": Incorrect? Wait, no—loudness is related to amplitude, frequency is pitch. But the first option: "quality" and frequency. Wait, maybe the question has a typo, but based on definitions:

Quality (timbre) is about the unique sound of a source (e.g., a piano vs a violin), which is due to the combination of fundamental frequency and overtones (harmonics). Frequency alone doesn't determine quality. So "quality of a sound: frequency of the sound" is incorrect. But also, "frequency of sound waves: loudness of the sound" is incorrect because loudness is amplitude - related. Wait, this is confusing. Wait, let's check each option again:

Option 1: quality of a sound: frequency of the sound. Quality (timbre) ≠ frequency (pitch). Incorrect.

Option 2: frequency of sound waves: number of wavelengths. Frequency is the number of wavelengths (cycles) per unit time. So if we consider "number of wavelengths" per second, this is correct.

Option 3: amplitude of a sound: intensity of the sound. Intensity is proportional to the square of the amplitude, so they are related. Correct.

Option 4: frequency of sound waves: loudness of the sound. Loudness is related to amplitude, not frequency. So this is also incorrect? Wait, no—maybe the question has one incorrect. Wait, maybe I made a mistake. Let's go back to the basics:

- Pitch: frequency (how high/low)
- Loudness: amplitude (how loud/soft)
- Timbre (quality): the complex wave - form (overtones)
- Intensity: related to amplitude (power per unit area)

So:

- "quality of a sound: frequency of the sound": Incorrect (quality is timbre, not frequency)
- "frequency of sound waves: number of wavelengths": Correct (frequency = f = 1/T = number of cycles (wavelengths) per second)
- "amplitude of a sound: intensity of the sound": Correct (I ∝ A²)
- "frequency of sound waves: loudness of the sound": Incorrect (loudness is amplitude - related)

But the question is "which pairing is incorrectly related". There must be one correct answer. Wait, maybe the first option: "quality of a sound: frequency of the sound" is incorrect. Alternatively, the last option. Wait, maybe the question has a mistake, but based on standard definitions, "quality of a sound" (timbre) is not related to frequency (pitch). So the incorrect pairing is "quality of a sound: frequency of the sound". Wait, but let's check the options again. The first option is "quality of a sound: frequency of the sound"—this is incorrect.

# Answer:
The incorrect pairing is "quality of a sound: frequency of the sound" (the first option in the list of choices). If we assume the options are labeled as follows (from top to bottom):

A. quality of a sound: frequency of the sound

B. frequency of sound waves: number of wavelengths

C. amplitude of a sound: intensity of the sound

D. frequency of sound waves: loudness of the sound

Then the answer is A. quality of a sound: frequency of the sound

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