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The ultrasound with intensity 10⁵ W/m², used to pulverize tissue during surgery, has the sound intensity level of 170 decibels.
The relation between sound intensity and sound intensity level is given by:
β (dB) = 10 x log(I/Io)
Where:
β = sound intensity level in decibels (dB)
I = sound intensity
Io = reference intensity
In the given problem:
β = 160 dB if I = 10⁴ W/m²
Find the reference intensity:
β = 10 x log(I/Io)
160 = 10 x log (10⁴ /Io)
log (10⁴ /Io) = 16
Io = 10⁻¹²
Use Io = 10⁻¹² to calculate the sound intensity level of 10⁵ W/m² sound intensity.
β = 10 x log(10⁵/10⁻¹²)
β = 10 x log(10¹⁷)
= 170 dB
Hence, the sound intensity level is 170 dB
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