Question

The loudness of the sound depends on the amplitude of vibrations of the source. Explain why?

Answer 1

1. Definition of amplitude: Amplitude is the maximum extent of a vibration or oscillation, measured from the position of equilibrium
2. Explanation:
   1. Loudness means whether the sound seems loud or soft to the listener.
   2. The loudness of sound is determined by the intensity of the sound waves. The intensity of sound is measured by the amount of energy in sound waves.
   3. The intensity of sound depends on two factors: Amplitude of sound waves and distance from the sound waves.
   4. The loudness of sound is directly proportional to the square of the amplitude of a sound.
   5. More is the amplitude of sound more will be the loudness of sound.
3. Mathematical expression: $loudness\propto {\left(amplitude\right)}^2$
4. Diagrammatic representation:

Hence, the loudness of the sound depends on the amplitude because it is directly proportional to the square of the amplitude.