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25.10.2021 10:53
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If the sound level at a point is 115 dB, what is the intensity of sound at that

If the sound level at a point is 115 dB, what is the intensity of sound at that point?
(Unit=W/m^2)
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brennarfa
brennarfa
4,6(90 marks)

The intensity of the sound is 0.316W/m^2.

Explanation:

The equation for the decibel scale is

dB = 10 \:log(\dfrac{I}{I_n} )

where I is the intensity of sound, and I_n = 1*20^{-12}W/m^2 is the intensity of the least audible sound to the human ear.

Now, we are told that at a certain point the sound level is 115dB; therefore,

115dB = 10 \:log(\dfrac{I}{1*10^{-12}} ),

which we simplify and solve for Ias follows:

11.5 = log(\dfrac{I}{1*10^{-12}} )

10^{11.5} = \dfrac{I}{1*10^{-12}}

I =1*10^{-12}*10^{11.5}

\boxed{I = 0.316W/m^2}

which is the intensity of the sound at the point in question.

haleyblu6351
haleyblu6351
4,9(24 marks)

-79.6  -80 -81.2

Explanation: Just Did The Question

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