Solve the Problem $1.49 \times 10 ^ { - 5 } \mathrm { Watts } / \mathrm { m } ^ { 2 }$

question 346

Multiple Choice

Solve the problem.
-A certain noise produces $1.49 \times 10 ^ { - 5 } \mathrm { Watts } / \mathrm { m } ^ { 2 }$ of power. What is the decibel level of this noise? The level of sound intensity in decibels $( \mathrm { dB } )$ is $\beta = 10 \log \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)$ , where $\beta$ (beta) is the number of decibels, I is the sound intensity in $\mathrm { W } / \mathrm { m } ^ { 2 }$ , and $\mathrm { I } _ { 0 } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ . (Round to the nearest decibel.)

• A) 165 decibels
• B) 62 decibels
• C) 72 decibels
• D) 7 decibels

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Definitions:

Broken Window Fallacy

The misconception that destruction and the subsequent spending to repair the damage stimulate economic growth.

Economic Activity

The activities related to the creation, dissemination, and utilization of products and services within an economy.

Upward-sloping

A term often used in economics to describe a line on a graph that shows an increase in a variable as another variable increases, such as supply or demand curves in relation to price.

Downward-sloping

A downward-sloping curve illustrates a negative relationship between two variables, commonly seen in demand curves where price and quantity demanded are inversely related.