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During takeoff, the sound intensity level of a jet engine is 140 dB at a distance of 30 m. What is the sound intensity level at a distance of 1.0 km?

Short Answer

Expert verified

The sound intensity level at a distance of1.0kmis110dB.

Step by step solution

01

Given information

Intensity level of a jet engine is β=140dB

Distance1.0km=1000m

02

Sound intensity at 1.0 km

The sound intensity at 1.0kmis

I'=30m1000mII'=3100I

03

Sound intensity level at 1.0 km

The sound intensity level is given by β=10dBlog10I'I0.

Substitute the given values

β'=10dBlog1031002II0β'=10dBlog1031002+10dBlog10II0β'=-30db+140dBβ'=110dB

Therefore, the sound intensity level at a distance of1.0kmis110dB.

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