Graph of a wave function and how to work out velocity from it.

In summary, the conversation is about understanding the concept of velocity in relation to the wave-function graphically. The person asking the question is struggling with obtaining the value of velocity from the graph and is seeking clarification on how to interpret the graph and its features. The other person suggests redrawing the function at different times to better understand the concept.
  • #1
Rich667
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0

Homework Statement


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Homework Equations





The Attempt at a Solution



Open Answer 2.bmp

I really struggled with this one, my answer is nothing more than an incomplete educated guess.
 

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  • #2
In terms of the wave-function... graphically (or visually) speaking... what does "velocity" mean?
 
  • #3
"Velocity" means the speed the object (or in this case wave) is moving at in a certain direction.

But I don't know how to obtain the value of Velocity from the graph (that I still do not know how to draw).
 
  • #4
At some time t=T, consider a snapshot of the graph. Focus on particular point (a bump, if wish) located at x=X on the graph. So, that feature has height H=g( 0.5X - 3T ). As T increases, what happens to that feature [keeping that height the same (which means keeping constant (0.5X - 3T) ]?

It might help to redraw your function at various times t (as suggested in your assignment).
 

1. What is a wave function?

A wave function is a mathematical representation of a wave, which describes the amplitude and phase of the wave at each point in space and time.

2. How is a wave function graphed?

A wave function can be graphed by plotting the amplitude of the wave on the vertical axis and the position or time on the horizontal axis.

3. What does the shape of a wave function graph indicate?

The shape of a wave function graph indicates the behavior of the wave, such as its amplitude, wavelength, and frequency.

4. How do you calculate velocity from a wave function graph?

To calculate velocity from a wave function graph, you can use the equation v = λf, where v is the velocity, λ is the wavelength, and f is the frequency of the wave. Alternatively, you can calculate the slope of the graph, which represents the velocity of the wave.

5. Can you determine the direction of a wave's motion from its wave function graph?

No, the direction of a wave's motion cannot be determined from its wave function graph alone. However, if the wave function is given as a function of time, the direction of the wave's motion can be determined by looking at the sign of the time variable.

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