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Chapter 2: Q4E (page 497)

15.4. BIO Ultrasound Imaging. Sound having frequencies above the range of human hearing (about 20,000 Hz) is called ultrasound. Waves above this frequency can be used to penetrate the body and to produce images by reflecting from surfaces. In a typical ultrasound scan, the waves travel through body tissue with a speed of 1500 m/s . For a good, detailed image, the wavelength should be no more than 1.0 mm. What frequency sound is required for a good scan?

Short Answer

Expert verified

The frequency of sound wave is 1.5×10-6Hz.

Step by step solution

01

STEP 1:The frequency of sound wave concept.

The quantity of waves passing through a fixed place in a unit of time is referred to as frequency.

The frequency of the wave is given by

λ=vf

Here,λis the wavelength of the wave, v is the speed of sound., f is the frequency of wave.

02

To calculate the frequency of the sound wave

Consider the given data as below.

The velocity, v=1500m/s

The wavelength, λ=1.0mm

The ultrasound waves travel with a speed of 1500 m/s to scan the body with a wavelength of around 1.0mm, Frequency of the sound wave is given by

λ=vf

Substitute 1500m/s for v and 1.0mm for λin the above equation.

f=vλ=1500m/s1.0mm=1500m/s1.0mm10-3m1mm=1.5×10-6Hz

Therefore, the frequency of sound wave is 1.5×10-6Hz.

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