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Question

If the amplitude of the sound is made 3 times its initial value, then its loudness will become _______________ times its initial value.

A
9
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B
4
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C
16
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D
25
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Solution

The correct option is A 9
If the amplitude of the sound is made 3 times its initial value, then its loudness will become nine times its initial value.
Loudness depends on the square of the amplitude of the wave.
That is, Loudness(Amplitude)2.
Thus, when amplitude of the wave is tripled, the loudness increases nine times.

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