Solve the Problem $\beta = 10 \log \left( \mathrm { I } _ { 0 } \right)$

question 155

Multiple Choice

Solve the problem.
-Use the formula $\beta = 10 \log \left( \mathrm { I } _ { 0 } \right)$ , where the loudness of a sound in decibels is determined by I, the number of Watts/ $\mathrm { m } ^ { 2 }$ produced by the sound wave, and $\mathrm { I } _ { 0 } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ . A certain noise measures 101 decibels. If the intensity is multiplied by 100 , how many decibels will the new noise measure? (Round to the nearest unit.)

• A) 10,100 decibels
• B) 121 decibels
• C) 103 decibels
• D) 202 decibels

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