Solve the Problem $\beta = 10 \log \left( \mathrm { I } / \mathrm { I } _ { \mathrm { O } } \right)$

Multiple Choice

Solve the problem.
-Use the formula $\beta = 10 \log \left( \mathrm { I } / \mathrm { I } _ { \mathrm { O } } \right)$ , where the loudness of a sound in decibels is determined by $\mathrm { I }$ , the number of Watts/ $/ \mathrm { m } ^ { 2 }$ produced by the sound wave, and $\mathrm { I } _ { \mathrm { O } } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ . What is the intensity in Watts/m² of a noise measured at 37 decibels? (Round to the nearest tenth.)

A) $4.0 \times 10^{13} \mathrm {~W} / \mathrm { m } ^ { 2 }$
B) $5.0 \times 10 ^ { - 9 } \mathrm {~W} / \mathrm { m } ^ { 2 }$
C) $5.0 \times 10 ^ { - 8 } \mathrm {~W} / \mathrm { m } ^ { 2 }$
D) $3.7 \times 10 ^ { - 10 } \mathrm {~W} / \mathrm { m } ^ { 2 }$