The sound level of a dog's bark is 50 dB.The intensity of a rock concert is 10,000 times that of the dog's bark.What is the sound level of the rock concert?
A)10,050 dB
B)500,000 dB
C)90 dB
D)2000 dB
E)54 dB

Question

Quizplus · Accepted Answer

The sound level in decibels (dB) can be calculated using the formula: $L = 10 \log_{10} \left(\frac{I}{I_0}\right)$, where $L$ is the sound level in dB, $I$ is the intensity of the sound, and $I_0$ is the reference intensity. A tenfold increase in intensity (10 times) results in an increase of 10 dB. Since the rock concert is 10,000 times the intensity of the dog's bark, this corresponds to a 40 dB increase (because $10 \log_{10}(10,000) = 40$). Adding this to the original 50 dB of the dog's bark gives us 90 dB.

The Sound Level of a Dog's Bark Is 50 DB