Question

A given frequency of sound is 4.5 MHz, and it has a wavelength of 0.8 mm.

How thick should a manufacturer design the matching layer of a transducer in
this scenario?
a. 0.4 mm
b. 0.16 mm
c. 0.2 mm
d. 0.6 mm

Answer 1

To find the thickness of the matching layer, we use the equation wavelength = speed of sound / frequency. By plugging in the given values, we find that the manufacturer should design the matching layer with a thickness of 0.4 mm.

Step-by-step explanation:

To find the thickness of the matching layer, we can use the equation:

wavelength = speed of sound / frequency

Given:

• Frequency = 4.5 MHz = 4.5 × 106 Hz
• Wavelength = 0.8 mm = 0.8 × 10-3 m

Plugging in the values into the equation:

0.8 × 10-3 m = speed of sound / 4.5 × 106 Hz

Solving for the speed of sound:

Speed of sound = 4.5 × 106 Hz × 0.8 × 10-3 m = 3.6 m/s

Therefore, the manufacturer should design the matching layer with a thickness of 0.4 mm.