Y=1.5 **Question:**A sound of Y decibels has how much intensity in watts per square meter? (Show your calculations.) Is that enough to damage your hearing?---**Explanation:**In order to determine the intensity of a sound in watts per square meter given a certain decibel level \( Y \), you can use the following formula:\[ I = 10^{(L_dB - 120) / 10} \]Where:- \( I \) is the intensity in watts per square meter.- \( L_dB \) is the sound level in decibels.### Steps for Calculation:1. **Convert the Decibel Level to Intensity:** - Use the given decibel value \( Y \) in the formula above. - Example: If \( Y = 80 \) decibels, \[ I = 10^{(80 - 120) / 10} = 10^{-4} \] \[ I = 0.0001 \, \text{W/m}^2 \]2. **Assess the Potential for Hearing Damage:** - Typically, intensities above 0.001 W/m² can be harmful with prolonged exposure. - Note that the threshold for pain or immediate danger to hearing is around 1 W/m².By performing these calculations, you can determine if the given sound intensity could potentially cause hearing damage based on scientific thresholds and guidelines for safe exposure levels.

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Answered: [d] A sound of Y decibels has how much…

[d] A sound of Y decibels has how much intensity in watts per square meter? (Show your calculations.) Is that enough to damage your hearing?

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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Concept explainers

Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.

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