Topic is on Sound

Question

You hear a sound with an intensity level of 76.5 dB. What is the sound's intensity? Later, you hear a sound with an intensity of 3.71×10^-7 W/m² What is the corresponding intensity level?

Answer 1

1) β =10log₁₀(I/I₀); I₀ = 1·10^-12W/m²); β = 76.5 dB; I = 10^7.65·10^-12 = 10^-4.35W/m² = 4.47·10^-5 W/m²

2) I = 3.71·10^-7 W/m²; β = 10log₁₀(3.71·10^-7/10^-12) = 55.7 dB