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Loudness of sound is proportional to the square of the amplitude of the vibration produced...justify,

Loudness is the measure of response of a sound by a human ear.The loudness of a sound is directly related to the square of its amplitude.

If the sound waves have a small amplitude,then the sound will be faint.On the other hand if the sound waves have a large amplitude,then the sound will be loud.

 

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It has been found that the larger the amplitude,the more is the loudness.in fact,loudness is directly proportional to the square of amplitude.from the above statement,it implies that if the amplitude increases by factor 2,loudness increases by factor 4.

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