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12 April, 10:33

The sound intensity at a distance of 16 m from a noisy generator is measured to be 0.25 W/m2. What is the sound intensity at a distance of 28 m from the generator?

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  1. 12 April, 11:41
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    0.1111 W/m²

    Explanation:

    If all other parameters are constant, sound intensity is inversely proportional to the square of the distance of the sound. That is,

    I ∝ (1/r²)

    I = k/r²

    Since k can be the constant of proportionality. k = Ir²

    We can write this relation as

    I₁ * r₁² = I₂ * r₂²

    I₁ = 0.25 W/m²

    r₁ = 16 m

    I₂ = ?

    r₂ = 24 m

    0.25 * 16² = I₂ * 24²

    I₂ = (0.25 * 16²) / 24²

    I₂ = 0.1111 W/m²
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