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An audience member experiences sound of intensity I as an orchestra member plays a flute.  If the audience member moves farther back so that the distance from the flute player is doubled, then I would:A.decrease by a factor of 4.B.decrease by a factor of 2.C.remain the same.D.increase by a factor of 2.

Question

An audience member experiences sound of intensity I as an orchestra member plays a flute.  If the audience member moves farther back so that the distance from the flute player is doubled, then I would:A.decrease by a factor of 4.B.decrease by a factor of 2.C.remain the same.D.increase by a factor of 2.

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Solution

The intensity of sound follows the inverse square law, which states that the intensity is inversely proportional to the square of the distance from the source. Therefore, if the distance is doubled, the intensity of the sound would decrease by a factor of 4. So, the correct answer is A. decrease by a factor of 4.

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