Question : The loudness of sound is proportional to the ______ of the amplitude of the vibration producing the sound.
Option 1: cube root
Option 2: cube
Option 3: square
Option 4: square root
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Correct Answer: square
Solution : The correct answer is square .
The loudness of sound is proportional to the square of the amplitude of the vibration producing the sound. In other words, the perception of loudness corresponds to the intensity of the sound wave, which is directly related to the square of its amplitude. As the amplitude increases, the energy carried by the sound wave grows exponentially, resulting in a perceived increase in loudness.
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