Choose the one alternative that best completes the statement or answers the question.
-Use the formula $\mathrm { D } = 10.0 \log \left( \mathrm { S } / \mathrm { S } _ { 0 } \right)$, where the loudness of a sound in decibels is determined by $\mathrm { S }$, the number of watt $/ \mathrm { m } ^ { 2 }$ produced by the soundwave, and $\mathrm { S } _ { 0 } = 1.00 \times 10 ^ { - 12 }$ watt $/ \mathrm { m } ^ { 2 }$. A certain noise produces $8.34 \times 10 ^ { - 5 } \mathrm { watt } / \mathrm { m } ^ { 2 }$ of power. What is the decibel level of this noise? (Round to the nearest unit.)
A) 69 decibels
B) 79 decibels
C) 182 decibels
D) 8 decibels

Question

Quizplus · Accepted Answer

Using the formula $ \mathrm{D} = 10.0 \log \left( \mathrm{S} / \mathrm{S}_0 \right) $, substitute $ \mathrm{S} = 8.34 \times 10^{-5} $ and $ \mathrm{S}_0 = 1.00 \times 10^{-12} $. Calculate $ \mathrm{D} = 10.0 \log \left( \frac{8.34 \times 10^{-5}}{1.00 \times 10^{-12}} \right) \approx 79 $ decibels.

Choose the One Alternative That Best Completes the Statement or Answers