A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed a one end. What is the fundamental frequency fi if the tube is 0.200 m long, by taking air temperature to be 37.0 °C? What would this frequency become if the person's breathing passage were filled with hydrogen instead of air? Assume the same temperature dependence for hydrogen as for air. ZH fı,hydrogen %3D Question Credit: OpenStax College Physics
A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed a one end. What is the fundamental frequency fi if the tube is 0.200 m long, by taking air temperature to be 37.0 °C? What would this frequency become if the person's breathing passage were filled with hydrogen instead of air? Assume the same temperature dependence for hydrogen as for air. ZH fı,hydrogen %3D Question Credit: OpenStax College Physics
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![**Title: Understanding Fundamental Frequency in Breathing Passages**
**Text:**
A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. What is the fundamental frequency \( f_1 \) if the tube is 0.200 m long, by taking air temperature to be 37.0°C?
\[ f_1 = \] _____ Hz
What would this frequency become if the person's breathing passage were filled with hydrogen instead of air? Assume the same temperature dependence for hydrogen as for air.
\[ f_{1,\text{hydrogen}} = \] _____ Hz
**Note:** This educational exercise is based on a question from OpenStax College Physics.
**Explanation:**
- The question prompts readers to calculate the fundamental frequency of a resonating tube, analogous to human breathing passages filled with air, at a temperature of 37.0°C.
- An additional calculation is requested if the breathing passages were filled with hydrogen instead of air.
- This exercise helps illustrate concepts of resonance, frequency, and the behavior of sound in different gases.
Feel free to explore further resources to understand how varying the medium inside a resonator affects its frequency.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F568ff014-20eb-4de5-8e14-1d7fe4707f89%2F546c5786-5f8d-4096-b800-939d4167afb7%2Fbjddtwl.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Fundamental Frequency in Breathing Passages**
**Text:**
A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. What is the fundamental frequency \( f_1 \) if the tube is 0.200 m long, by taking air temperature to be 37.0°C?
\[ f_1 = \] _____ Hz
What would this frequency become if the person's breathing passage were filled with hydrogen instead of air? Assume the same temperature dependence for hydrogen as for air.
\[ f_{1,\text{hydrogen}} = \] _____ Hz
**Note:** This educational exercise is based on a question from OpenStax College Physics.
**Explanation:**
- The question prompts readers to calculate the fundamental frequency of a resonating tube, analogous to human breathing passages filled with air, at a temperature of 37.0°C.
- An additional calculation is requested if the breathing passages were filled with hydrogen instead of air.
- This exercise helps illustrate concepts of resonance, frequency, and the behavior of sound in different gases.
Feel free to explore further resources to understand how varying the medium inside a resonator affects its frequency.
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