Answer:
0.1111 W/m²
Explanation:
If all other parameters are constant, sound intensity is inversely proportional to the square of the distance of the sound. That 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
The sound intensity at a distance of 28 m from the generator will be "0.1111 W/m²".
According to the question,
Distance, r₁ = 16 m
r₂ = 28 m
Sound intensity, I₁ = 0.25 W/m²
We know the relation,
→ I ∝ ([tex]\frac{1}{r^2}[/tex])
or,
I ∝ [tex]\frac{k}{r^2}[/tex]
Now,
→ I₁ × r₁² = I₂ × r₂²
By substituting the values,
0.25 × (16)² = I₂ × (24)²
I₂ = [tex]\frac{0.25\timers (16)^2}{(24)^2}[/tex]
= 0.1111 W/m²
Thus the above answer is correct.
Find out more information about sound intensity here:
https://brainly.com/question/26672630
