Two waves of the same pitch have amplitude in the ratio 1 : 3. What will be the ratio of their loudness:

1:3

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3:1

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1:9

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9:1

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Solution

The correct option is B 1:9
Loudness depends on the square of the amplitude of the wave.

That is, $l o u d n e s s \propto {(a m p l i t u d e)}^{2}$

Thus, when the ratio of amplitudes of the wave is 1:3, the loudness becomes 1:9.

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