What is the intensity level of a sound with intensity of 5.0 x 10^-10 W/m²? (I₀ = 10^-12W/m²) A)74 dB B)54 dB C)2.7 dB D)27 dB

Question

Quizplus · Accepted Answer

Use the equation for decibel level:
IL = 10 log(I/I₀)
where I₀ = 10^(-12) W/m^2 is the reference intensity level.

Plug in the given values:
IL = 10 log[(5.0 x 10^-10) / (10^-12)]
IL = 10 log(5.0 x 10^2)
IL = 10 x 2.7
IL = 27 dB

Therefore, the intensity level of the sound is 27 dB, which is answer choice D.

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