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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 463 (page 1068)

What is the decibel level of a small fan with intensity $10^{- 8}$ watts per square inch?

Short Answer

Expert verified

Decibel level is $40 d B$

Step by step solution

01

Step 1. Given

Intensity is given as $10^{- 8}$

02

Step 2. Calculation

Use formula for decibel,

$D = 10 \log (\frac{I}{10^{- 12}})$

Put the value of intensity in the formula as,

$D = 10 \log (\frac{10^{- 8}}{10^{- 12}}) = 10 \log (10^{- 8 + 12}) = 10 \log (10^{4}) = 10 \times 4 \log (10) = 40$

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