The value is closest to the maximum sound level, in decibels, of a car horn is 100 dB
The equation that relates the sound level in decibels (dB), of a noise with an intensity of I to the smallest sound intensity that can be heard by the human ear, (approximately watts/meter2) is
β = 10㏒(I/I₀) where
- I = maximum intensity of a car horn = 0.01 W/m² = 10⁻² W/m² and
- I₀ = smallest sound intensity that can be heard by the human ear = 10⁻¹² W/m²
So, substituting the values of the variables into the equation, we have
β = 10㏒(I/I₀)
β = 10㏒(I10⁻² W/m² ÷ 10⁻¹² W/m²)
β = 10㏒10¹⁰
β = 10 × 10㏒10
β = 100 × 1
β = 100 dB
So, the value is closest to the maximum sound level, in decibels, of a car horn is 100 dB
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