Question

What is the intensity of a sound that has a level 20.00 dB lower than a 8.00×10⁻⁹ W/m² sound?

Answer 1

The intensity of a sound that is 20.00 dB lower than an initial sound of 8.00×10⁻⁹ W/m² is 8.00×10⁻²¹ W/m².

Step-by-step explanation:

To find the intensity of a sound that is 20.00 dB lower than an initial sound of 8.00×10⁻⁹ W/m², we can use the formula:

Intensity2 = Intensity1 × 10^(dB/10)

Plugging in the values, the intensity of the sound would be:

Intensity2 = (8.00×10⁻⁹ W/m²) × 10^(-20/10)

Simplifying the equation, the intensity would be:

Intensity2 = 8.00×10⁻²¹ W/m²