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Suppose you read that 210-dB ultrasound is being used to pulverize cancerous tumors. You calculate the intensity in watts per centimeter squared and find it is unreasonably high (10^5 W/cm^2). What is a possible explanation?

a) Incorrect dB measurement
b) Faulty intensity calculation
c) Overestimation of frequency
d) Instrument calibration error

1 Answer

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Final answer:

The unreasonably high intensity of 10^5 W/cm^2 from a reported 210 dB ultrasound could be due to misinterpretation of sound pressure level as sound intensity level, incorrect measurement, or calculation errors. In medical settings, it's common to see a 60-70 dB difference between these two scales.

Step-by-step explanation:

When you calculate an intensity of 105 W/cm2 based on a decibel level of 210 dB for ultrasound, this figure is unreasonably high for medical applications. A possible explanation for this miscalculation could be related to the fact that decibel levels in biomedical contexts can sometimes refer to sound pressure levels rather than sound intensity levels. The sound pressure level is known to be approximately 60 to 70 dB higher than the sound intensity level. Therefore, a sound pressure level of 210 dB may actually refer to a sound intensity level that is 60 to 70 dB lower, which would significantly reduce the calculated intensity. Additionally, an incorrect dB measurement, faulty intensity calculation, overestimation of frequency, or an instrument calibration error could be at play when encountering such a high number.

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