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Loudness of sound is proportional to the ______ of the amplitude of the vibration producing the sound.
cube root
Cube
Square
square root
- Option 1: Cube Root
- Loudness increasing with the cube root of amplitude means it would rise very slowly.
- Not commonly seen in physical phenomena for sound loudness.
- Option 2: Cube
- If loudness were proportional to the cube of amplitude, it would increase very rapidly.
- Uncommon in the context of sound perception.
- Option 3: Square
- Correct Answer: Loudness is proportional to the square of the amplitude.
- This is because sound intensity, which relates to loudness, is proportional to amplitude squared.
- Option 4: Square Root
- Loudness increasing with the square root implies a slower growth.
- Not aligned with how sound loudness works.
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