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The Decibel Level D of a Sound Is Related to Its

Question 381

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The decibel level D of a sound is related to its intensity I by D=10log(II0) \mathrm { D } = 10 \log \left( \frac { \mathrm { I } } { \mathrm { I } _ { 0 } } \right) . If I0\mathrm { I } _ { 0 } is 101210 ^ { - 12 } , then what is the intensity of a noise measured at 93 decibels? Express your answer in scientific notation, rounding to three significant digits, if necessary.


A) 9.3×1010watt/m29.3 \times 10 ^ { - 10 } \mathrm { watt } / \mathrm { m } ^ { 2 }
B) 2×103watt/m22 \times 10 ^ { - 3 } \mathrm { watt } / \mathrm { m } ^ { 2 }
C) 1.09×1016watt/m21.09 \times 1016 _ { \mathrm { watt } } / \mathrm { m } ^ { 2 }
D) 2×102watt/m22 \times 10 ^ { - 2 } \mathrm { watt } / \mathrm { m } ^ { 2 }

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