Given the speed of sound in rat tissues, what is the closest wavelength of a 2.3 MHz ultrasound wave?

• A. 34.5 mm
• B. 6.5 mm
• C. 1.5 mm
• D. 0.65 mm

Answer: (D)

To determine the wavelength of a 2.3 MHz ultrasound wave in rat tissues, it’s important to apply the relationship between the speed of sound, frequency, and wavelength, which is given by the formula:

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

In typical biological tissues, the speed of sound is approximately 1540 m/s, although this can vary slightly depending on the specific type of tissue. To use the formula, the frequency needs to be converted into standard units if necessary.

For 2.3 MHz, this converts to:

[ 2.3 \text{ MHz} = 2.3 \times 10^6 \text{ Hz} ]

Using the formula:

1. Calculate the wavelength:

[

\text{Wavelength} = \frac{1540 \text{ m/s}}{2.3 \times 10^6 \text{ Hz}}

]

[

\text{Wavelength} \approx 0.00066956 \text{ m} = 0.66956 \text{ mm}

]

So when rounding appropriately, the closest