Grpah of l versus 1/f (sound wave)

In summary, the graph of l versus 1/f is used to visually represent the relationship between wavelength and frequency in a sound wave. The slope of the graph represents the speed of sound, with a steeper slope indicating a higher speed. The intersection point with the y-axis represents the fundamental wavelength of a sound wave. If the speed of sound changes, the graph will also change. And finally, the graph can be used to estimate the pitch of a sound by finding the corresponding point on the x-axis.
  • #1
somecelxis
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Homework Statement



to determine the c(end correction ) of sound wave of single end closed tube, the equtaion l +c= (lambda/4 ) is used , i don't understand the gradient is v/4 , then how does the author come up with the speed of sound in air is v=4 ?

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  • #2
somecelxis said:
how does the author come up with the speed of sound in air is v=4 ?

No, the text means the speed, v, is 4*(gradient of graph).
 

1. What is the purpose of a graph of l versus 1/f in relation to sound waves?

The graph of l (wavelength) versus 1/f (frequency) is used to visually represent the relationship between these two variables in a sound wave. It helps to illustrate how the wavelength and frequency of a sound wave are inversely proportional to each other.

2. How do you interpret the slope of a graph of l versus 1/f?

The slope of the graph represents the speed of sound. A steeper slope indicates a higher speed of sound, while a flatter slope indicates a lower speed of sound. This is because the wavelength and frequency are inversely proportional, so a higher frequency corresponds to a shorter wavelength and vice versa.

3. What is the significance of the intersection point of the l versus 1/f graph with the y-axis?

The intersection point of the graph with the y-axis represents the wavelength of a sound wave when its frequency is zero. This is known as the fundamental wavelength and is the longest wavelength that a sound wave can have.

4. How does the graph of l versus 1/f change when the speed of sound changes?

If the speed of sound changes, the slope of the graph will also change. This is because the speed of sound is directly proportional to the frequency and inversely proportional to the wavelength. So, a change in speed will result in a change in both the frequency and wavelength, altering the overall shape of the graph.

5. How can a graph of l versus 1/f be used to determine the pitch of a sound?

The pitch of a sound is determined by its frequency. By looking at the graph, the frequency can be estimated by finding the point on the x-axis that corresponds to the given wavelength. The higher the frequency, the higher the pitch of the sound will be.

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