What equation defines the relationship between frequency and wavelength of sound in soft tissue?

The relationship between frequency and wavelength in sound waves, particularly in soft tissue, is governed by the fundamental principles of wave mechanics. In soft tissue, sound travels at a speed of approximately 1540 meters per second or 1.54 mm/microsecond.

The wavelength can be derived from the wave equation, which is given by the formula:

[ \text{Wavelength} = \frac{\text{Speed of Sound}}{\text{Frequency}} ]

In the context of soft tissue:

1. The speed of sound is 1.54 mm/microsecond.

2. Frequency is expressed in megahertz (MHz), where 1 MHz = 1,000,000 Hz.

This leads to the formulation:

[ \text{Wavelength (mm)} = \frac{1.54 \text{ mm/microsecond}}{\text{Frequency (MHz)}} ]

When rearranged to express wavelength in terms of frequency, we can see it clearly aligns with the correct answer. Therefore, the equation that defines the relationship between frequency and wavelength of sound in soft tissue is:

[ \text{Wavelength (mm)} = 1.54 \text{ mm/microsecond} \div \text