The loudness of sound is to be increased to 4 times the initial value. By what factor must the amplitude be increased?

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Solution

The correct option is B
2

Loudness is proportional to the square of the amplitude. Hence, the amplitude has to be increased to twice the initial value to increase the loudness to four times its initial value. Hence, the required factor is 2.

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The loudness of sound is to be increased to 4 times the initial value. By what factor must the amplitude be increased?

The correct option is B 2 Loudness is proportional to the square of the amplitude. Hence, the amplitude has to be increased to twice the initial value to increase the loudness to four times its initial value. Hence, the required factor is 2.

The correct option is B
2

Loudness is proportional to the square of the amplitude. Hence, the amplitude has to be increased to twice the initial value to increase the loudness to four times its initial value. Hence, the required factor is 2.