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Solve the Problem L=10log(II0)L = 10 \log \left( \frac { I } { I _ { 0 } } \right)

Question 254

Multiple Choice

Solve the problem.
-The formula L=10log(II0) L = 10 \log \left( \frac { I } { I _ { 0 } } \right) gives the loudness of sound LL (in dB\mathrm { dB } ) based on the intensity of the sound (in W/m2\mathrm { W } / \mathrm { m } ^ { 2 } ) . The value I0=1012 W/m2I _ { 0 } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 } is the minimal threshold for hearing for mid-frequency sounds. Hearing impairment is often measured according to the minimal sound level (in dB\mathrm { dB } ) detected by an individual for sounds of various frequencies. If the minimum loudness of sound detected by an individual is 60 dB60 \mathrm {~dB} , determine the corresponding intensity of sound.


A) 100.5 W/m210 ^ { - 0.5 } \mathrm {~W} / \mathrm { m } ^ { 2 }
B) 100.5 W/m210 ^ { 0.5 } \mathrm {~W} / \mathrm { m } ^ { 2 }
C) 106 W/m210 ^ { 6 } \mathrm {~W} / \mathrm { m } ^ { 2 }
D) 106 W/m210 ^ { - 6 } \mathrm {~W} / \mathrm { m } ^ { 2 }

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