Loudness of a sound is proportional to the square of the amplitude of the vibration producing the sound. Explain
The loudness of sound depends on the amplitude of vibration of the vibrating object. Greater the amplitude of vibration, louder the sound will be.
When a Sitar string is plucked lightly, then it vibrates with a small amplitude and produces a faint sound or feeble sound. When a sitar string is plucked hard, then it vibrates with a large amplitude and produces a very loud sound.
The loudness of sound is directly proportional to the square of the amplitude of vibration.
If the amplitude of vibration is doubled, then the loudness will become 4 times.
If the amplitude of vibration is halved, then the loudness will become one-fourth.
The loudness of sound is expressed in the units called the Decibel. The symbol of the decibel is Db.
At a loudness of above 80 Db, the sound become physically painful. And at about 140 Db level, the sound hurts too much.