What is the sound intensity level in decibels of ultrasound of intensity 10^5 W/m2, used to pulverize tissue during surgery
170
To determine the sound intensity level in decibels (dB) for ultrasound with an intensity of 10^5 W/m^2, we can use the following equation:
Sound Intensity Level (dB) = 10 * log10(I/I0)
Where:
I is the intensity of the sound wave (10^5 W/m^2 in this case)
I0 is the reference intensity, which is the threshold of hearing and is equal to 10^(-12) W/m^2.
Using the given values, we can substitute them into the equation:
Sound Intensity Level (dB) = 10 * log10(10^5/10^(-12))
To simplify the calculation, we can rewrite the equation as:
Sound Intensity Level (dB) = 10 * log10(10^17)
Using logarithmic properties, we know that log10(10^17) = 17. Therefore, we can substitute the value:
Sound Intensity Level (dB) = 10 * 17
Sound Intensity Level (dB) = 170 dB
Hence, the sound intensity level of ultrasound with an intensity of 10^5 W/m^2 used in tissue pulverization during surgery is 170 decibels.