0.1111 W/m² is the sound intensity at a distance of 27 m from the generator.
The amount of energy travelling through a unit area in a unit of time perpendicular to the direction of the sound waves is known as the sound intensity. Sound intensity is inversely related to the square of the sound's distance when all other factors are held constant. This is,
I ∝ (1/r²)
I = k/r²
Since k can be the constant of proportionality. k = Ir²
We can write this relation as
I₁ × r₁² = I₂ × r₂²
I₁ = 0.25 W/m²
r₁ = 16 m
I₂ = ?
r₂ = 24 m
0.25 × 16² = I₂ × 24²
I₂ = (0.25 × 16²)/24²
I₂ = 0.1111 W/m²
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