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Question

If the amplitude of a sound is tripled, What will be the effect on its loudness?

A
Increases four times
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B
Decreases four times
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C
Increases six times
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D
Decreases six times
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Solution

The correct option is C Increases six times
The loudness of sound depends on its amplitude. Loudness is proportional to the square of its amplitude.
So, loudness (amplitude)2

Here amplitude of sound is tripled,

loudness (3×amplitude)2
loudness (3)2×(amplitude)2
loudness 6×(amplitude)2

Hence, if the amplitude of a sound is tripled, loudness increases six times.

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