8) Ultrasound with a frequency of 4.25 MHz can be used to take pictures in the body. If the speed of sound in a human body is 1500 m/s, what is the full wavelength of the ultrasound in the body?
8) Ultrasound with a frequency of 4.25 MHz can be used to take pictures in the body. If the speed of sound in a human body is 1500 m/s, what is the full wavelength of the ultrasound in the body?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Speed of Sound and Ultrasound Technology
**Problem Statement:**
- **Given:** The wavelength [not fully visible].
- **Question:** If the wavelength of sound in a metal is 5.83 m, what is the speed of sound in that metal?
**Problem 8:**
- **Topic:** Ultrasound Imaging
- **Description:** Ultrasound with a frequency of 4.25 MHz can be used to take pictures in the body. If the speed of sound in a human body is 1500 m/s, what is the full wavelength of the ultrasound in the body?
**Solution Explanation:**
To find the wavelength of the ultrasound in the body, we can use the wave equation which relates the speed of sound, its frequency, and its wavelength:
\[ \lambda = \frac{v}{f} \]
Where:
- \( \lambda \) = Wavelength (meters)
- \( v \) = Speed of sound in the medium (meters/second)
- \( f \) = Frequency of the sound wave (Hz)
Given:
- Frequency (\( f \)) = 4.25 MHz = 4.25 \times 10^6 Hz
- Speed of sound in the human body (\( v \)) = 1500 m/s
Plugging in the values:
\[ \lambda = \frac{1500 \, \text{m/s}}{4.25 \times 10^6 \, \text{Hz}} \]
\[ \lambda \approx 3.53 \times 10^{-4} \, \text{m} \]
\[ \lambda = 0.353 \, \text{mm} \]
Therefore, the wavelength of the ultrasound in the human body is approximately 0.353 millimeters.
---
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Transcribed Image Text:---
### Speed of Sound and Ultrasound Technology
**Problem Statement:**
- **Given:** The wavelength [not fully visible].
- **Question:** If the wavelength of sound in a metal is 5.83 m, what is the speed of sound in that metal?
**Problem 8:**
- **Topic:** Ultrasound Imaging
- **Description:** Ultrasound with a frequency of 4.25 MHz can be used to take pictures in the body. If the speed of sound in a human body is 1500 m/s, what is the full wavelength of the ultrasound in the body?
**Solution Explanation:**
To find the wavelength of the ultrasound in the body, we can use the wave equation which relates the speed of sound, its frequency, and its wavelength:
\[ \lambda = \frac{v}{f} \]
Where:
- \( \lambda \) = Wavelength (meters)
- \( v \) = Speed of sound in the medium (meters/second)
- \( f \) = Frequency of the sound wave (Hz)
Given:
- Frequency (\( f \)) = 4.25 MHz = 4.25 \times 10^6 Hz
- Speed of sound in the human body (\( v \)) = 1500 m/s
Plugging in the values:
\[ \lambda = \frac{1500 \, \text{m/s}}{4.25 \times 10^6 \, \text{Hz}} \]
\[ \lambda \approx 3.53 \times 10^{-4} \, \text{m} \]
\[ \lambda = 0.353 \, \text{mm} \]
Therefore, the wavelength of the ultrasound in the human body is approximately 0.353 millimeters.
---
**Note:** The document appears to include additional questions and details that are not fully visible. You may need to refer to the complete document for a full understanding of the context and the additional problems it contains.
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