Respuesta :
A)The corresponding decibel level will be 97.4 dB.
B)The sound intensity will be 6.11 × 10⁻⁶ W/m²
C) The decibel level at a distance of 36.0 m is 67.9 dB
What is a sound wave?
A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.
The complete question is;
"A person standing 1.20 m from a portable speaker hears its sound at an intensity of 5.50 ✕ 10−3 W/m2. HINT (a) Find the corresponding decibel level. dB (b) Find the sound intensity (in W/m2) at a distance of 36.0 m, assuming the sound propagates as a spherical wave. W/m2 (c) Find the decibel level at a distance of 36.0 m. dB"
A)
The level of the sound is found as;
[tex]\rm L = 10 log( \frac{I}{I_0} )\\\\ L= 10 log(\frac{5.50 \times 10^{-3}}{10^{-12}} ) \\\\L= 97.4 \ dB[/tex]
B)
The source is a spherical source, hence a result, the square of the distance from the source here determines how loud the sound is.
[tex]\rm \frac{I_2}{I_1} =\frac{r_1^2}{r_1^2} \\\\ \frac{I_2}{5.50 \times 10^{-3}} =\frac{1.20^2}{36^2} \\\\I_2= 6.11 \times 10^{-6} \ W/m^2[/tex]
C)
[tex]\rm L = 10 log( \frac{I}{I_0} )\\\\ L= 10 log(\frac{6.11 \times 10^{-6}}{10^{-12}} ) \\\\L= 67.9 \ dB[/tex]
Hence, the corresponding decibel level, sound intensity, and decibel level at a distance of 36.0 m will be 97.4 dB,6.11 × 10⁻⁶ W/m²and 67.9 dB
To learn more about the sound wave, refer to https://brainly.com/question/11797560.
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