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anonymous

  • one year ago

You hear sounds at the following decibel levels: 5 dB, 10 dB, 20 dB, and 40 dB. Which sound is 10 times higher than the lowest pressure humans can hear? A. 5 dB B. 10 dB C. 20 dB D. 40 dB **Not sure how to find this!! :( Thank you!!:)

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  1. Michele_Laino
    • one year ago
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    we have to use this definition: \[\Large N = 10{\log _{10}}\left( {\frac{{{P_1}}}{{{P_0}}}} \right)\] where N is the number of decibels, and P_0 is a reference pressure

  2. anonymous
    • one year ago
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    oh okay! how can we find what to plug in?

  3. Michele_Laino
    • one year ago
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    we have to know how much is the lowest pressure

  4. anonymous
    • one year ago
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    ohhh would the lowest pressure be the 5 dB?

  5. anonymous
    • one year ago
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    oh oops

  6. anonymous
    • one year ago
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    or wait, it is 5 dB? :/

  7. Michele_Laino
    • one year ago
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    no, sorry, we can answer to your problem without know how much is the lowest pressure. Since we can write the lowest pressure as our reference pressure, and we can set P_1 = 10*P_0

  8. anonymous
    • one year ago
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    ohh okay! :)

  9. Michele_Laino
    • one year ago
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    so we have: \[\Large \begin{gathered} {P_1} = 10{P_0} \hfill \\ N = 10{\log _{10}}\left( {\frac{{10{P_0}}}{{{P_0}}}} \right) = ...? \hfill \\ \end{gathered} \]

  10. anonymous
    • one year ago
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    10?

  11. Michele_Laino
    • one year ago
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    ok! 10 dB

  12. anonymous
    • one year ago
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    ohh so that is our solution? 10 dB? :O

  13. Michele_Laino
    • one year ago
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    yes!

  14. anonymous
    • one year ago
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    woo! thank you!!:D

  15. Michele_Laino
    • one year ago
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    thanks! :)

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