Sonography Principles & Instrumentation (SPI) Ultrasound Registry Practice Test

What is the wavelength when the propagation speed is 1.5 mm/µs and the transducer frequency is 5.0 MHz?

1.0 mm 0.5 mm 0.3 mm 2.0 mm

Correct Answer:

0.3 mm

Explanation:

To determine the wavelength in ultrasound, the formula used is: \[ \text{Wavelength} = \frac{\text{Propagation Speed}}{\text{Frequency}} \] In this scenario, the propagation speed is given as 1.5 mm/µs and the frequency is 5.0 MHz. First, it's important to convert the units to be consistent. Since 1 MHz is equal to 1,000,000 Hz, the frequency in Hz can be expressed as: \[ 5.0 \, \text{MHz} = 5.0 \times 10^6 \, \text{Hz} \] Now, plugging the values into the wavelength formula: \[ \text{Wavelength} = \frac{1.5 \, \text{mm/µs}}{5.0 \times 10^6 \, \text{Hz}} \] Since 1 µs is \(10^{-6}\) seconds, the propagation speed can also be expressed as: \[ 1.5 \, \text{mm/µs} = 1.5 \, \text{mm} \times 10^6 \, \text{µs/s} =

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