Respuesta :
Sound intensity of 1 baby, I = 8*10^-8 W/m^2
The sound heard should be higher by:
10*log (n) where for 5 babies, n = 5. Then
10*log (n) = 10*log (5) ≈ 7 dB
Also give is the reference sound, Io = 1.0*10^-12 W/m^2
Therefore,
Sound intensity, L1 = 10*log (I/I1) = 10*log [(8*10^-8)/(1*10^-12)] ≈ 49 dB
Therefore, total intensity for the five babies is:
Total intensity = 49+7 = 56 dB
The sound heard should be higher by:
10*log (n) where for 5 babies, n = 5. Then
10*log (n) = 10*log (5) ≈ 7 dB
Also give is the reference sound, Io = 1.0*10^-12 W/m^2
Therefore,
Sound intensity, L1 = 10*log (I/I1) = 10*log [(8*10^-8)/(1*10^-12)] ≈ 49 dB
Therefore, total intensity for the five babies is:
Total intensity = 49+7 = 56 dB
The intensity level from a set of quintuplets (five babies) : 56 dB
Further explanation
Wave intensity is the power of a wave that is moved through a plane of one unit that is perpendicular to the direction of the wave
Can be formulated
[tex]\rm I=\dfrac{P}{A}[/tex]
I = intensity, W m⁻²
P = power, watt
A = area, m²
The farther the distance from the sound source, the smaller the intensity
[tex]\rm \dfrac{I_2}{I_1}=\dfrac{(r_1)^2}{(r_2)^2}[/tex]
So the intensity is inversely proportional to the square of the distance from the source
[tex]\rm I\approx \dfrac{1}{r^2}[/tex]
Intensity level (LI) can be formulated
[tex]\rm LI=10\:log\dfrac{I}{I_o}[/tex]
Io = 10⁻¹²
For the level of intensity of several sound sources as many as n pieces can be formulated:
LIn = LI1 + 10 log n
The intensity level of 1 baby is
[tex]\rm LI=10\:log\dfrac{8.10^{-8}}{10^{-12}}[/tex]
LI = 10 log 8.10⁴
LI = 49
The intensity level of 5 babies :
LI5 = LI + 10 log n
LI5 = 49 + 10 log 5
LI5 = 49 + 7
LI5 = 56
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