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

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) $1.26 \times 10 ^ { - 8 } \mathrm { watt } / \mathrm { m } ^ { 2 }$