Final answer:
The correct statement about the wavelength of a sound wave is that shorter wavelengths are preferred for better image resolution. Frequency and wavelength can change in different media, but frequency remains constant when the sound travels through the same medium.
Step-by-step explanation:
The correct statement regarding the wavelength of a sound wave is: C) Shorter wavelengths are preferred for better image resolution. This is because shorter wavelengths correspond to higher frequencies, which can provide more detailed images in applications such as medical ultrasound. In relation to sound waves produced by pulsed wave and continuous wave transducers, the wavelength is determined by the speed of sound and the frequency of the wave (v=fλ). There isn't a direct correlation that states pulsed wave transducers produce longer or shorter wavelengths than continuous wave transducers; it depends on the operating frequency of each.
Frequency and wavelength can change as sound travels through different media due to changes in the speed of sound; however, the frequency remains constant when sound travels through the same medium because it is determined by the original source. Therefore, statement B) is incorrect because although frequency remains constant, wavelength can change as a result of attenuation and variation in speed through different tissues.