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The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound level goes up by 38.0 dB?

  • physics -

    ΔL= L₁ - L₂ =
    =10 log₁₀(I₁/I₀) – 10log₁₀(I₂/I₀) =
    =10 log₁₀(I₁/I₂)
    ΔL/10 = log₁₀(I₁/I₂)
    I∼A²
    A₁/A₂=sqrt{ I₁/I }=sqrt{10^( ΔL/10)} =
    =sqrt{10^( 38/10)} =79.4

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