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What are the sound intensity levels for sound waves of intensity (a) 3.0 * 10-6 W/m2 and (b) 3.0 * 10-2 W/m2 ?

Short Answer

Expert verified

Part a

The sound intensity level for a sound wave of intensity 3.0×10-6W/m2is 65dB.

Part b

The sound intensity level for a sound wave of intensity3.0×10-2W/m2is105dB.

Step by step solution

01

Given information

The intensity of the sound wave isa)3.0×10-6W/m2andb)3.0×10-2W/m2.

02

Part a

The sound intensity level is given byβ=10dBlog10II0.

Substitute the given values

β=10dBlog103.0×10-61.0×10-12β≈65dB

Therefore, the sound intensity level for a sound wave of intensity3.0×10-6W/m2is65dB.

03

Part b

The sound intensity level is given by β=10dBlog10II0.

Substitute the given values

β=10dBlog103.0×10-21.0×10-12β≈105dB

Therefore, the sound intensity level for a sound wave of intensity3.0×10-2W/m2is105dB.

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