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If the amplitude of sound is doubled and the frequency is reduced to one fourth, the intensity of sound at the same point will be

1. increasing by a factor of 2
2. decreasing by a factor of 2
3. decreasing by a factor of 4
4. unchanged

Correct answer: increasing by a factor of 2

Solution

The intensity of sound is proportional to the square of the amplitude and independent of frequency. Doubling the amplitude increases the intensity by a factor of 4, while the frequency change has no effect. Thus, the intensity increases by a factor of 2.

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