17/28 Correct Question 19 of 20, Step 1 of Given that lo- 10-12 watts/meter2, wh

Question

17/28 Correct Question 19 of 20, Step 1 of Given that lo- 10-12 watts/meter2, what is the decibel level of a sound, for which the sound intensity is 20 watts/meter? Round off your answer to the nearest integer. Decibel ?? In the decibel formula that follows, Jo is the intensity of a just-discernable sound, / is the intensity of the sound being analyzed, and D is its decibel level: How to enter your answer D 10log Decibel levels range from 0 for a barely discernable sound, to 40 for the level of normal conversation, to 80 for heavy traffic, to 120 for a loud rock concert, and finaly (as far as humans are concerned) to around 160, at which point the eardrum is likely to rupture.

Explanation / Answer

Given I0 = 10-12 watts/meter2 and Intensity, I = 20 watts/meter2

Decibel level of sound, D = 10 log(I / I0) = 10 [ log(I) - log(I0)] = 10 [ log(20) - log (10-12)] = 10 [ log(20) - (-12)log(10)]

= 10[log(20) + 12log(10)] = 10[1.301 + 12*1] = 10*(13.301) = 133 (Answer)

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