A 5-MHz transducer is used to image soft tissue, where the propagation speed is 1,540 m/s. What is the wavelength of the sound in the tissue?
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Answer: B
0.15 mm: This is half the correct value, as if 1.54 mm/µs had been divided by 10 MHz.
0.31 mm: Correct. λ = c / f = 1.54 mm/µs ÷ 5 MHz = 0.308 mm. A handy rule: λ (mm) = 1.54 ÷ f (MHz) in soft tissue.
0.62 mm: This doubles the correct value, as if a 2.5-MHz transducer were used.
3.08 mm: This is a factor-of-10 unit error; at 5 MHz the wavelength in soft tissue is about 0.3 mm.
Wavelength = propagation speed ÷ frequency. In soft tissue λ (mm) = 1.54 / f (MHz), so higher frequency gives a shorter wavelength.