The Relationship Between the Number of Decibels $\beta$ And the Intensity of a Sound I in Watts Per

question 37

Multiple Choice

The relationship between the number of decibels $\beta$ and the intensity of a sound I in watts per square centimeter is given by $\beta = 10 \log _ { 10 } \left( \frac { I } { 10 ^ { - 16 } } \right)$ . Find the rate of change in the number of decibels when the intensity is $10 ^ { - 5 }$ watt per square centimeter. Round your answer to the nearest decibel.

• A)43,429 decibels per watt per square cm
• B)4,342,945 decibels per watt per square cm
• C)434,294 decibels per watt per square cm
• D)4,342,944,819 decibels per watt per square cm
• E)434,296 decibels per watt per square cm

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