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27 May, 07:11

The speaker at the concert has the sound intensity level of 100 dB if we listen from the distance 5 m. How far from the speaker does the intensity level drop to the safe value of 85 dB?

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  1. 27 May, 09:07
    0
    5.42 meters

    Explanation:

    Sound intensity varies inversely with the square of distance:

    I = k / r²

    When r = 5, I = 100.

    100 = k / 5²

    k = 2500

    I = 2500 / r²

    When I = 85:

    85 = 2500 / r²

    r = 5.42
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