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

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} =