By how many decibels does the intensity level of a sound increase when you triple the intensity of a source of sound?
A)9.5 dB
B)4.8 dB
C)6.0 dB
D)3.0 dB
E)12 dB

Question

Quizplus · Accepted Answer

The intensity level in decibels (dB) can be calculated using the formula $10 \log_{10}(\frac{I}{I_0})$, where $I$ is the intensity of the sound and $I_0$ is the reference intensity. When you triple the intensity ($I = 3I_0$), the increase in decibels is $10 \log_{10}(3)$, which is approximately 4.8 dB.

By How Many Decibels Does the Intensity Level of a Sound