
As thunder travels away from a lightning channel, the amplitude (loudness) of the sound ____ by ____ as the distance from the channel doubles.
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The sentence can be completed as follows: "As thunder travels away from a lightning channel, the amplitude (loudness) of the sound DECREASES by A FACTOR 4 as the distance from the channel doubles." In fact, the intensity of a sound wave follows an inverse square law: it means it is inversely proportional to the square of the distance, , where r is the distance from the source. We see from the formula that, if we double the distance, the intensity gets a factor , which means that the intensity decreases by a factor 4.