An ultrasound probe recorded the echo data shown in the figure above, representing the time required for the ultrasound signal to travel through the body and reflect back to the probe. The ultrasound signal passed through subcutaneous fat, muscle, and liver, resulting in echoes at 30 μs and 60 μs from the tissue interfaces. What is the thickness of the muscle tissue that the ultrasound wave traveled through? (Note: Use 1.54 mm/μs for the speed of sound in the body.)A.23 mmB.30 mmC.46 mmD.60 mm
Question
An ultrasound probe recorded the echo data shown in the figure above, representing the time required for the ultrasound signal to travel through the body and reflect back to the probe. The ultrasound signal passed through subcutaneous fat, muscle, and liver, resulting in echoes at 30 μs and 60 μs from the tissue interfaces. What is the thickness of the muscle tissue that the ultrasound wave traveled through? (Note: Use 1.54 mm/μs for the speed of sound in the body.)A.23 mmB.30 mmC.46 mmD.60 mm
Solution
The thickness of the muscle tissue can be calculated using the speed of sound in the body and the time it takes for the ultrasound signal to travel through the muscle tissue and reflect back.
First, we need to determine the total time the ultrasound signal spent in the muscle tissue. This can be found by subtracting the time at the first echo (at the fat-muscle interface) from the time at the second echo (at the muscle-liver interface). So, 60 μs - 30 μs = 30 μs.
Next, we use the speed of sound in the body to find the total distance the ultrasound signal traveled in the muscle tissue. The speed of sound in the body is given as 1.54 mm/μs, so the total distance is 30 μs * 1.54 mm/μs = 46.2 mm.
However, this is the total distance traveled by the ultrasound signal, which includes the trip to the muscle-liver interface and the trip back. To find the thickness of the muscle tissue, we need to divide this distance by 2. So, 46.2 mm / 2 = 23.1 mm.
Therefore, the thickness of the muscle tissue that the ultrasound wave traveled through is approximately 23 mm, so the answer is A. 23 mm.
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