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Chapter 16: Q. 40 (page 452)

The sound intensity level 5.0 m from a large power saw is 100 dB. At what distance will the sound be a more tolerable 80 dB?

Short Answer

Expert verified

The sound will be more tolerable at50m.

Step by step solution

01

Given information

The sound intensity level from a large power saw is 100dB.

The distance is5.0m

02

The distance at which sound is more tolerable

The intensity of the wave is given by I=Pa=P4蟺谤2.

Here, P=I1a1and P=I2a2.

Now,

r2=a24蟺=PI24蟺=I1a1I24蟺=I1I24蟺谤124蟺=r1I1I2

03

Substitution

Substitute given values into the obtained equation

r2=5.0100=5脳10=50m

Therefore, the sound will be more tolerable at50m.

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