Answer:
The new intensity = 3.38 × 10⁻⁵ W/m²
Explanation:
Intensity of sound wave:
The intensity of sound is the rate of flow of flow of energy, per unit area, perpendicular to the direction of the sound wave.
Intensity (I) ∝ A²
where I = intensity, A = Amplitude.
∴ I₁/I₂ = A₁²/A²₂............................... equation 1
From the question, the amplitude increase by 30% of the initial
∴ A₂ = A₁ + 0.3A₁ = 1.3A₁, I₁ = 2.00×10⁻⁵ W/m²
∴ (2.00×10⁻⁵)/I₂ = A₁²/(1.3A₁)²
(2.00×10⁻⁵)/I₂ = 1/1.3²
making I₂ the subject of the equation
I₂ = (2.00 × 10⁻⁵)×1.3² = 3.38 × 10⁻⁵ W/m₂
The new intensity = 3.38 × 10⁻⁵ W/m²
