Question

A balloon popping has a decibel reading of 125. Given the formula for a

decibel reading, (logarithmic equation)

Answer 1

Answer:

The intensity of the sound is 3.16, approximately

Step-by-step explanation:

The equation that determines decibel levels is

$D=10 log(\frac{I}{10^{-12} } )$

Where $I$ represents the intensity of the sound and the ten power represents the softest sound, that ratio is the comparison to find the decibels.

In this case, we have 125 decibels. So, we need to use this value in the formula to find the intensity

$125=10 log(\frac{I}{10^{-12} } )\\12.5=log(\frac{I}{10^{-12} } )\\10^{12.5}=10^{log(\frac{I}{10^{-12} } )} \\10^{12.5}=\frac{I}{10^{-12} } \\10^{12.5} \times 10^{-12}=I\\I=10^{0.5} \approx 3.16$

Therefore, the intensity of the sound is 3.16, approximately. Which is at the same level as a loud rock concert.