Solve the Problem $\mathrm { D }$ Of a Sound Is Related to Its Intensity I By Of a Sound

question 459

Multiple Choice

Solve the problem.
-The decibel level $\mathrm { D }$ of a sound is related to its intensity I by $\mathrm { D } = 10 \log \left( \frac { \mathrm { I } } { \mathrm { I } _ { 0 } } \right)$ . If $\mathrm { I } _ { 0 }$ is $10 ^ { - 12 }$ , then what is the intensity of a noise measured at 41 decibels? Express your answer in scientific notation, rounding to three significant digits, if necessary.

• A) \(4.1 \times 10 ^ { - 10 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)
• B) \(6.03 \times 10 ^ { 13 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)
• C) \(1.26 \times 10 ^ { - 7 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)
• D) \(1.26 \times 10 ^ { - 8 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)

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Definitions:

Transverse

Referring to a direction or plane that divides the body into upper and lower parts.

Anterior

Located towards the front of the body or an organ.

Posterior

Referring to the back or rear part of the body or structure.

Superior

Placed above or higher than another; often used to describe anatomical positioning.