What is the ratio of the intensities of two sounds with intensity levels of 70 dB and 40 dB?
A)10:1
B)100:1
C)1000:1
D)10,000:1

Question

Quizplus · Accepted Answer

The intensity level in decibels (dB) is calculated using the formula $L = 10 \log_{10} \left(\frac{I}{I_0}\right)$, where $L$ is the intensity level in dB, $I$ is the intensity of the sound, and $I_0$ is the reference intensity. The difference in dB levels corresponds to a ratio of intensities. A difference of 30 dB (70 dB - 40 dB) corresponds to a ratio of intensities of $10^{30/10} = 10^3 = 1000:1$.

What Is the Ratio of the Intensities of Two Sounds