Intensity= 10log amplitude, right?
so the question is what do you mean by amplitude. I assume by amplitude you mean the distance a matter particle vibrates. But energy is proportional then to amplitude squared, so
and then intensity =10 log amplitude^2
=10 log energy
so if amplitude is quadrupled, energy then is squared, so intentity must be doubled (log a^2=2loga)
If the amplitude of a sound wave is quadrupled, by what factor will the intensity increase?
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