The wavelength in a material having a propagation speed of 1.5 mm/μs with a transducer frequency of 5.0 MHz is:

• A. 0.3 mm
• B. 0.3 cm
• C. 0.6 mm
• D. 3.0 mm

Answer: (A)

To find the wavelength in a material, you can use the relationship between speed, frequency, and wavelength, which is expressed by the formula:

[

\text{Wavelength} = \frac{\text{Speed}}{\text{Frequency}}

]

In this case, the speed of sound in the material is given as 1.5 mm/μs. First, we need to convert the frequency from megahertz (MHz) to hertz (Hz):

[

5.0 \text{ MHz} = 5.0 \times 10^6 \text{ Hz}

]

Next, apply the values into the formula:

[

\text{Wavelength} = \frac{1.5 \text{ mm/μs}}{5.0 \times 10^6 \text{ Hz}}

]

To maintain consistent units, it's helpful to recognize that 1 μs is equal to (1 \times 10^{-6}) seconds. Therefore, we can convert the speed into mm/s by realizing that:

[

1.5 \text{ mm/μs} = 1.5 \text{ mm} \times 1 \times 10^6 \text