Question

Calculate the intensity in watts per meter squared of a just barely audible 200-Hz sound.

a) 1.0 × 10^(-12) W/m²
b) 1.0 × 10^(-10) W/m²
c) 1.0 × 10^(-8) W/m²
d) 1.0 × 10^(-6) W/m²

Answer 1

The intensity of a just barely audible 200-Hz sound is 1.0 × 10^(-12) W/m².

Step-by-step explanation:

The intensity of a just barely audible sound can be calculated using the formula:

I = I0 × 10^(ß/10)

Where I is the intensity, I0 is the reference intensity, and ß is the decibel level.

For a just barely audible 200-Hz sound, the intensity is:

I = 10^(-12/10) × 10^0

I = 1.0 × 10^(-12) W/m²