Medical ultrasound uses a frequency of around 20 MHz to diagnose human conditions and ailments.

step 1 Solving part A of this problem, so here F is given as 20 MHZ. So changing the unit, I can write

Medical ultrasound uses a frequency of around 20 MHz to...

Medical ultrasound uses a frequency of around $20 \mathrm{MHz}$ to diagnose human conditions and ailments. (a) If the speed of sound in tissue is $1500 \mathrm{~m} / \mathrm{s},$ what is the smallest detectable object? (b) If the penetration depth is about 200 wavelengths, how deep can this instrument penetrate?

Medical ultrasound uses a frequency of around $20 \mathrm{MHz}$ to diagnose human conditions and ailments.
(a) If the speed of sound in tissue is $1500 \mathrm{~m} / \mathrm{s},$ what is the smallest detectable object? (b) If the penetration depth is about 200 wavelengths, how deep can this instrument penetrate?

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Key Concepts

Imaging Resolution

Imaging resolution is the ability of the ultrasound system to distinguish between two closely spaced structures. It is intrinsically linked to the wavelength; smaller wavelengths provide better resolution, allowing for the detection of finer details in the tissue.

Ultrasound Frequency

Ultrasound frequency defines the number of oscillations per second of the sound waves used in imaging. In medical applications, higher frequencies offer greater resolution by producing shorter wavelengths, but they also tend to have reduced penetration depth in tissue.

Wavelength Determination

The wavelength of a sound wave is calculated by dividing the speed of sound in the medium by the frequency of the ultrasound. This fundamental relationship is crucial in resolving the smallest detectable object, as resolution in imaging is generally proportional to the wavelength.

Penetration Depth

Penetration depth refers to the maximum depth that the ultrasound waves can effectively travel in tissue before their energy becomes too weak to form a clear image. It is often described in terms of the number of wavelengths that can be transmitted, which is governed by both the frequency of the ultrasound and the absorption characteristics of the tissue.

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