The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation (ob) – 101001 6.)
is the intensity of a given sound and lo is the threshold of hearing intensity. What is the intensity, in decibels, Il(dB)], when
1 = 10% (0.)?
8
19
80​

Answer :

Answer:

80

Step-by-step explanation:

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The intensity of the sound when I =10^8(I₀) is 80 dB.

Equation for intensity of sound

The equation for the intensity of sound is given as I(dB)=10log[I/I₀],

where;

  • I is the intensity of a given sound  
  • I₀ is the threshold of a hearing intensity

The intensity when  I =10^8(I₀) is calculated as follows;

[tex]I(dB) = 10log[\frac{I}{I_o} ][/tex]

when I = 10^8(I₀)

[tex]I(dB) = 10log [\frac{10^8 \times I_o}{I_o} ]\\\\I(dB) = 10 log[10^8]\\\\I(dB) = (10 \times 8) log10\\\\I(dB) = 80[/tex]

Thus, the intensity of the sound when I =10^8(I₀) is 80 dB.

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