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Chapter 10: Q. 411 (page 1064)

What is the decibel level of a train whistle with intensity 10-3watts per square inch?

Short Answer

Expert verified

The decibel level of the train whistle is90db.

Step by step solution

01

Step 1. Given and explanation

We know the intensity of the train whistle, i.e., 10-3.

We know that the loudness level, Dof sound of intensity, Iwhich is measured in watt per square inches is D=10log(I10-12).

We also know that (aman)=am-an.

Applying these two formulas, we will calculate the decibel level.

02

Step 2. Substituting the value of I in the formula.

We have D=10log(I10-12).

We know that I=10-3.

Substituting this,

D=10log(10-310-12)
Applying the formula(aman)=am-an, we get
localid="1645085584685" D=10log(10)-3+12D=10log(10)9D=10路9log(10)D=90
We know log10(10)=1, so we get the decibel level as 90db.

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