Solve the Problem $\mathrm { D }$ Of a Sound Is Related to Its Intensity I By Of a Sound

question 459

Multiple Choice

Solve the problem.
-The decibel level $\mathrm { D }$ of a sound is related to its intensity I by $\mathrm { D } = 10 \log \left( \frac { \mathrm { I } } { \mathrm { I } _ { 0 } } \right)$ . If $\mathrm { I } _ { 0 }$ is $10 ^ { - 12 }$ , then what is the intensity of a noise measured at 41 decibels? Express your answer in scientific notation, rounding to three significant digits, if necessary.

• A) \(4.1 \times 10 ^ { - 10 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)
• B) \(6.03 \times 10 ^ { 13 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)
• C) \(1.26 \times 10 ^ { - 7 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)
• D) \(1.26 \times 10 ^ { - 8 } \mathrm { watt } / \mathrm { m } ^ { 2 }\)

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Definitions:

Sclera

The white, opaque, fibrous, outer protective layer of the eyeball, extending from the cornea to the optic nerve.

Ciliary Body

A ring-shaped tissue in the eye that connects the iris to the choroid, playing a key role in focusing vision and producing aqueous humor.

Optic Nerve

The cranial nerve that transmits visual information from the retina to the brain.

Hypothalamus

The hypothalamus is a region of the brain responsible for producing hormones that control body temperature, hunger, moods, release of hormones from many glands, especially the pituitary gland.