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

question 27

Multiple Choice

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

• A) \(10 ^ { - 0.5 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• B) \(10 ^ { 0.5 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• C) \(10 ^ { 6 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• D) \(10 ^ { - 6 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)

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Definitions:

Zygote

Diploid cell resulting from the union of a sperm cell and an oocyte.

Identical Twins

Twins that develop from a single zygote splitting early in development, sharing 100% of their DNA.

Dizygotic

Pertaining to twins that develop from two different eggs fertilized by two different sperms, also known as fraternal twins.

Pluripotent

In development, a cell or group of cells that have not yet become fixed or determined as to what specific tissues they are going to become.