Question

he equation 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). The maximum intensity of a car horn is approximately 0.01 watts/meter2. Based on this information, which value is closest to the maximum sound level, in decibels, of a car horn? 10,000 dB 1,000 dB 100 dB 10 dB

Answer 1

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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