A recording engineer is in a soundproof room that is 44 dB quieter than outside. If the sound...


A recording engineer is in a soundproof room that is {eq}44\ \rm{dB} {/eq} quieter than outside. If the sound intensity in the room is {eq}1.2 \times 10^{-10}\ \rm{W/m}^2 {/eq}, what is the intensity outside?


Decibels are an acoustic comparison measure that determines the relationship on the logarithmic scale between the measured intensity and a reference intensity, commonly attributed to the human listening threshold. Mathematically this relationship is presented as,

{eq}\beta_0 = 10log\left( \dfrac{I}{I_0} \right) {/eq}


{eq}I = \text{Intensity}\\ I_0 = \text{Reference Intensity} {/eq}

Answer and Explanation: 1

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The sound Intensity inside the room is

{eq}I_i = 1.2 \times 10^{-10} W/m^2 {/eq}

The sound intensity level inside room can be given by


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Mechanics of Hearing & How the Brain Processes Sound


Chapter 3 / Lesson 3

Understanding the mechanics of hearing and how it works with the individual parts of the human ear. Explore the intricacies of our sense of hearing by uncovering the idea of soundwaves, frequency, loudness, pitch, and how the brain both interprets and processes sound.

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