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Question

Loudness of a sound is proportional to the square of the amplitude of the vibration producing the sound. Explain

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Solution

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.


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