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

question 203

Multiple Choice

Solve the problem.
-Use the formula $\beta = 10 \log \left( \mathrm { I } / \mathrm { I } _ { \mathrm { O } } \right)$ , where the loudness of a sound in decibels is determined by $\mathrm { I }$ , the number of Watts/ $/ \mathrm { m } ^ { 2 }$ produced by the sound wave, and $\mathrm { I } _ { \mathrm { O } } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ . What is the intensity in Watts/m² of a noise measured at 37 decibels? (Round to the nearest tenth.)

• A) \(4.0 \times 10^{13} \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• B) \(5.0 \times 10 ^ { - 9 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• C) \(5.0 \times 10 ^ { - 8 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)
• D) \(3.7 \times 10 ^ { - 10 } \mathrm {~W} / \mathrm { m } ^ { 2 }\)

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Definitions:

Social Inequalities

The existence of unequal opportunities or treatment for different societal groups based on class, race, gender, age, or ethnicity.

Rawls

A philosopher known for his theory of justice which argues for the creation of a society where the least advantaged are as well off as possible.

Principles of Social Justice

Foundational guidelines aimed at ensuring equitable treatment, opportunities, and outcomes for all members of society, often addressing issues of inequality and discrimination.

Rawls

A reference to John Rawls, an influential American political philosopher known for his theories of justice and “the original position” in social contract theory.