If I₀ = 10−¹² W/m² is the threshold of hearing,a sound with intensity I₁ = 10−¹¹ W/m² will give a certain decibel level.Suppose a new sound has an intensity I₂ = 4I₁²/I₀.What is the new decibel level?

Question

Quizplus · Accepted Answer

We can use the formula for decibel level: L = 10 log10(I/I0) where L is the decibel level, I is the sound intensity, and I0 is the threshold of hearing. For the first sound, we have: L1 = 10 log10(I₁/I₀) For the second sound, we have: L2 = 10 log10(I₂/I₀) Substituting the given values and simplifying, we get: L2 = 10 log10(4) + L1 L2 = 6 + L1 So the new decibel level is 6 dB higher than the decibel level of the first sound. Therefore, the answer is B) 26 dB.

If I0 = 10−12 W/m2 Is the Threshold of Hearing,a

If I₀ = 10−¹² W/m² Is the Threshold of Hearing,a