Understanding the Fundamentals
* Closed Tube: A closed tube has one end closed and the other open.
* Fundamental Frequency: The lowest possible frequency that can resonate in a closed tube.
* Resonance: When a tube vibrates at a frequency that produces a standing wave, it's said to be in resonance. In a closed tube, the closed end is a node (no displacement) and the open end is an antinode (maximum displacement).
Calculating the Wavelength
1. Relationship: For the fundamental frequency in a closed tube, the length of the tube (L) is equal to one-fourth of the wavelength (λ):
L = λ/4
2. Solving for Wavelength:
* Rearrange the equation: λ = 4L
* Substitute the tube length (L = 35 cm = 0.35 m): λ = 4 * 0.35 m
* Calculate: λ = 1.4 m
Therefore, the wavelength of the fundamental resonant frequency in a 35 cm long closed tube is 1.4 meters.
