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91Ó°ÊÓ

In the following exercises, use a logarithmic model to solve.

What is the decibel level of a whisper with intensity 10-10watts per square inch?

Short Answer

Expert verified

The decibel level of a whisper is20dB.

Step by step solution

01

Step 1. Concept used 

The loudness level, D, measured in decibels, of a sound of intensity, I, measured in watts per square inch isD=10logI10-12

02

Step 2. Substitute the value of I

It is given that the intensity is 10-10watts per square inch. So in the formula D=10logI10-12, substitute 10-10for Iand simplify.

D=10log10-1010-12D=10log10-10-(-12)D=10log102D=10·2D=20

So the decibel level for the normal conversation is 20dB.

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