What is the sound level for a noise that has an intensity of 7.6 × 10-4 watts/m2?
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Answer:
Answer:The sound level for a noise is 88.9 dB.Step-by-step explanation:Given : Intensity of noise is [tex]7.6\times 10^{-4}Wm^{-2}[/tex]. To find : What is the sound level for a noise?Solution :The range of the sound intensity is the threshold of hearing which is [tex]I_o=1\times 10^{-12}Wm^{-2}[/tex]Intensity of noise is [tex]I=7.6\times 10^{-4}Wm^{-2}[/tex]The intensity level in d
B of a sound of intensity I is defined as:[tex]I_s=(10dB)\log_{10}(\frac{I}{I_o})[/tex]Substitute the values,[tex]I_s=(10dB)\log_{10}(\frac{7.6\times 10^{-4}}{1\times 10^{-12}})[/tex][tex]I_s=(10dB)\log_{10}({7.6\times 10^{8})[/tex][tex]I_s=(10dB)(8.89)[/tex][tex]I_s=88.9dB[/tex]Therefore, The sound level for a noise is 88.9 dB.
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