The sound-intensity level at one point exceeds that at another point by 30 dB. If the ratio of the larger intensity to the smaller intensity is N, find N.
Physics · Wave Motion · beat and properties of sound
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Question

The sound-intensity level at one point exceeds that at another point by 30 dB. If the ratio of the larger intensity to the smaller intensity is N, find N.

G1 Physics · Accepted Answer

Sound-intensity level difference is Δβ = 10log₁₀(I₂/I₁). Given, 30 = 10log₁₀N. Therefore, log₁₀N = 3, so N = 10³ = 1000.