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30 January, 01:56

What decibel reading corresponds to a pressure amplitude of 0.2 W/m^2?

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  1. 30 January, 04:58
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    I = pressure amplitude given = 0.2 W/m²

    dB = decibel reading

    decibel reading from the pressure amplitude is given as

    dB = 10 log₁₀ (I/10⁻¹²)

    inserting the values in the above equation

    dB = 10 log₁₀ (0.2/10⁻¹²)

    dB = 10 log₁₀ (2 x 10⁻¹/10⁻¹²)

    dB = 10 log₁₀ (2 x 10⁻¹.10¹²)

    dB = 10 log₁₀ (2 x 10¹²⁻¹)

    dB = 10 log₁₀ (2 x 10¹¹)

    dB = 113.01 db

    hence the decibel reading comes out to be 113.01 db
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