**Noise Reduction Analysis in an Auditorium****Problem Statement:**With the installation of noise suppression materials, the noise level in an auditorium was reduced from 95 to 81 decibels. The level of sound \( \beta \) (in decibels) with an intensity of \( I \) is given by the formula:\[\beta (I) = 10 \log_{10} \left( \frac{I}{I_0} \right)\]where \( I_0 \) is an intensity of \( 10^{-16} \) watts per square centimeter, corresponding roughly to the faintest sound that can be heard.**Objective:**Use this information to find the percent decrease in the intensity level of the noise as a result of the installation of these materials. (Round your answer to the nearest percent.)**Input Field:**_Enter your answer:_ [ ] %**Helpful Actions:**- **Need Help?** [Read It]**Navigation Buttons:**- [Submit Answer] **Usage Tip:** This exercise helps to understand the decibel scale and how noise reduction materials can effectively decrease sound intensity.

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ASK YOUR TEACHER With the installation of noise suppression materials, the noise level in an auditorium was reduced from 95 to 81 decibels. The level of sound ß (in decibels) with an intensity of I is B(I) = 10 log10 (I/I0), where Io is an intensity of 10-16 watt per square centimeter, corresponding roughly to the faintest sound that can be heard. Use this information to find the percent decrease in the intensity level of the noise as a result of the installation of these materials. (Round your answer to the nearest percent.) % Need Help? Submit Answer Read It PRACTICE ANOTHER

ASK YOUR TEACHER With the installation of noise suppression materials, the noise level in an auditorium was reduced from 95 to 81 decibels. The level of sound ß (in decibels) with an intensity of I is B(I) = 10 log10 (I/I0), where Io is an intensity of 10-16 watt per square centimeter, corresponding roughly to the faintest sound that can be heard. Use this information to find the percent decrease in the intensity level of the noise as a result of the installation of these materials. (Round your answer to the nearest percent.) % Need Help? Submit Answer Read It PRACTICE ANOTHER

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.

Question

**Noise Reduction Analysis in an Auditorium**

**Problem Statement:**
With the installation of noise suppression materials, the noise level in an auditorium was reduced from 95 to 81 decibels. The level of sound \( \beta \) (in decibels) with an intensity of \( I \) is given by the formula:

\[
\beta (I) = 10 \log_{10} \left( \frac{I}{I_0} \right)
\]

where \( I_0 \) is an intensity of \( 10^{-16} \) watts per square centimeter, corresponding roughly to the faintest sound that can be heard.

**Objective:**
Use this information to find the percent decrease in the intensity level of the noise as a result of the installation of these materials. (Round your answer to the nearest percent.)

**Input Field:**
_Enter your answer:_ [ ] %

**Helpful Actions:**
- **Need Help?** [Read It]

**Navigation Buttons:**
- [Submit Answer]

**Usage Tip:** This exercise helps to understand the decibel scale and how noise reduction materials can effectively decrease sound intensity.

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