: Which of the following is proportional to the amplitude of the sound where the frequency remainsconstant?

To determine what is proportional to the amplitude of sound when the frequency remains constant, we first need to understand some basic concepts in sound physics.

1. Amplitude: This is the maximum displacement of points on a wave, which corresponds to its loudness. Higher amplitudes mean louder sounds.
2. Frequency: This is the number of vibrations or cycles per unit time, which determines the pitch of the sound.

When frequency remains constant, the key relationships to consider involve the amplitude in the context of sound energy and pressure. The intensity (or power) of a sound wave, which is a measure of how much energy the sound wave carries, is proportional to the square of the amplitude.

Final Answer

Thus, when the frequency remains constant, the intensity of the sound (which can be related to the loudness) is proportional to the square of the amplitude.

This can be summarized as: $I \propto A^2$ where $I$ is the intensity, and $A$ is the amplitude of the sound wave.