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Chapter 16: Q. 11 (page 450)

One physics professor talking produces a sound intensity level of 52 dB. It’s a frightening idea, but what would be the sound intensity level of 100 physics professors talking simultaneously?

Short Answer

Expert verified

The intensity level of 100 professors talking simultaneously is 70dB

Step by step solution

01

Step 1. Write the given information.

A professor is talking

The intensity of the sound is β= 52dB

100 professors talk simultaneously.

02

Step 2. To determine the intensity of sound produced by 100 professors

The intensity of the sound is given by

I=Io×10β/10dB

Here, Io is the threshold hearing of humans. The average value is 1X10-12 W/m2.

Substitute the known values in the above expression

localid="1649072838046" I=(1×10-12)×1052dB/10dBI=1.5×10-7W/m2

When 100 professors talk simultaneously, the intensity of the sound would become
I=100×1.5×10-7W/m2I=1.5×10-5W/m2

The intensity level is given by
β=10dBlog10IIo
substitute the known values
β=10dBlog101.5×10-51×10-12β=70dB

Therefore, the intensity level produced by 100 professors is 70 dB

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