The sound level produced by one singer is 76.7 dB. What would be the sound level produced by a chorus of 41 such singers (all singing at the

Question

The sound level produced by one singer is 76.7 dB. What would be the sound level produced by a chorus of 41 such singers (all singing at the same intensity at approximately the same distance as the original singer)? Answer in units of dB.

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Delwyn 3 years 2021-08-18T20:34:21+00:00 1 Answers 19 views 0

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  1. Thunguyet
    0
    2021-08-18T20:35:55+00:00
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    Answer:

    In dB intensity will be equal to 159.74 dB

    Explanation:

    We have given intensity of sound produced by one singer is 76.7 dB

    Sound intensity is calculated as I(dB)=10log\frac{I}{10^{-12}}

    76.7=10log\frac{I}{10^{-12}}

    10^{7.67}=\frac{I}{10^{-12}}

    I=4.677\times 10^{-5} W/m^2

    Now it is given that 41 singers are singing in chorus

    So total intensity = I=41\times 4.677\times 10^{-5}=191.757\times 10^{-5}W/m^2

    Now in dB intensity will be

    I(dB)=10log\frac{191.757\times 10^{-5}}{10^{-12}}=159.74dB

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