Which statements are correct about the decibel scale and distance dependence of sound intensity?
Select all that apply

Question

Which statements are correct about the decibel scale and distance dependence of sound intensity?

G1 Physics · Accepted Answer

Sound-intensity level is β = 10log₁₀(I/I₀). A factor 10 in intensity gives 10 dB. A factor 2 gives 10log₁₀2 ≈ 3.01 dB. For a point source, I ∝ 1/r². Halving r increases I by a factor 4, giving 10log₁₀4 ≈ 6.02 dB. Therefore all four statements are correct.