Solve the Problem $3.89 \times 10 ^ { - 4 }$

question 145

Multiple Choice

Solve the problem.
-A certain noise produces $3.89 \times 10 ^ { - 4 }$ Watts $/ \mathrm { m } ^ { 2 }$ of power. What is the decibel level of this noise? The level of sound intensity in decibels $( \mathrm { dB } )$ is $\beta = 10 \log \left( \frac { \mathrm { I } } { \mathrm { I } } \right)$ , where $\beta$ (beta) is the number of decibels, I is the sound intensity in $\mathrm { W } / \mathrm { m } ^ { 2 }$ , and $\mathrm { I } _ { 0 } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ . (Round to the nearest decibel.)

• A) 76 decibels
• B) 198 decibels
• C) 9 decibels
• D) 86 decibels

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