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While the decibel scale can be used in many disciplines, we shall restrict our attention to its use in acoustics, specifically its use in measuring

While the decibel scale can be used in many disciplines, we shall restrict our attention to its use in acoustics, specifically its use in measuring the intensity level of sound. The Sound Intensity Level L (measured in decibels) of a sound intensity I (measured in watts per square meter) is given by

L(I) = 10 log I/10^-12.

Like the Richter scale, this scale compares to baseline I : 10^-12W/m^2 is the threshold of human hearing.

  1. Compute L(10^-6).
  2. Damage to your hearing can start with short term exposure to sound levels around 115 decibels. What intensity I is needed to produce this level?
  3. Compute L(1). How does this compare with the threshold of pain which is around 140 decibels?

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