A tube filled with water has a valve at the bottom to allow the water to flow out of the tube. As the water is emptied from the tube, the length L of the air column changes. A 1036-Hz tuning fork is placed at the opening of the tube. Water is removed from the tube until the n = 5 mode of a sound wave resonates. What is the length of the air column if the temperature of the air in the room is 21.0°C?

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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**Understanding Resonance in a Water-Filled Tube**

**Introduction:**
When a tube filled with water has a valve at the bottom, it allows water to flow out, changing the length of the air column above the water. This setup is used in experiments to explore sound wave resonance.

**Experiment Details:**
- **Objective:** Determine the length of the air column when resonance occurs.
- **Materials Used:** A 1036-Hz tuning fork and a tube with a valve.
- **Procedure:** 
  1. Place the tuning fork at the opening of the tube.
  2. Allow water to flow out slowly from the valve.
  3. Observe when the air column resonates with the tuning fork's frequency.
  
**Resonance Mode:**
- The n = 5 mode of resonance is reached, and this is the point of interest for measurement.

**Conditions:**
- **Temperature:** The room temperature is 21.0°C, which affects the speed of sound and, consequently, the resonance characteristics.

**Objective:**
Determine the exact length of the air column at the n = 5 mode of sound wave resonance.
Transcribed Image Text:**Understanding Resonance in a Water-Filled Tube** **Introduction:** When a tube filled with water has a valve at the bottom, it allows water to flow out, changing the length of the air column above the water. This setup is used in experiments to explore sound wave resonance. **Experiment Details:** - **Objective:** Determine the length of the air column when resonance occurs. - **Materials Used:** A 1036-Hz tuning fork and a tube with a valve. - **Procedure:** 1. Place the tuning fork at the opening of the tube. 2. Allow water to flow out slowly from the valve. 3. Observe when the air column resonates with the tuning fork's frequency. **Resonance Mode:** - The n = 5 mode of resonance is reached, and this is the point of interest for measurement. **Conditions:** - **Temperature:** The room temperature is 21.0°C, which affects the speed of sound and, consequently, the resonance characteristics. **Objective:** Determine the exact length of the air column at the n = 5 mode of sound wave resonance.
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