Phase difference and Standing waves vs Progressive waves

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Homework Help Overview

The discussion revolves around the concepts of phase difference in stationary waves versus progressive waves, particularly in the context of A-level physics. The original poster expresses confusion regarding the phase differences indicated in their textbook and the conditions under which stationary waves are formed.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the phase differences between nodes and antinodes, questioning the original poster's understanding of the textbook's phase difference values. There are discussions about how to determine the position of points in the wave and the implications of counting antinodes.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the original poster's statements and exploring the implications of phase differences in the context of stationary waves. There is no explicit consensus yet, as participants are still questioning and interpreting the information presented.

Contextual Notes

Participants are navigating through potential misunderstandings regarding the definitions of nodes and antinodes, as well as the conditions necessary for the formation of stationary waves. The original poster's reference to textbook values and the specific conditions for wave formation are under scrutiny.

Lamar Ngolo
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1495121023587-154927012.jpg
and

Homework Statement


Ok, so I am doing As physics at the moment and have been left confused by stationary waves.
I have read that between adjacent nodes/ even numbers the phase difference is always 0 and between numbers of does it is pi radians. So in the attatched image why is my textbook giving answers of 180, 225 and 0 degrees: this is what would be the case on a progressive wave, right?
Also, do stationary waves only form where 2 progressive waves in opposite directions have the same frequency, wavelength and constant phase difference, or only a few of the named conditions needed?

Thanks everyone

Homework Equations


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The Attempt at a Solution

 
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Lamar Ngolo said:
between adjacent nodes/ even numbers the phase difference is always 0 and between numbers of does it is pi radians.
That is rather garbled. Please clarify.

With regard to the question, I do not understand how you are supposed to know exactly where B is.
 
haruspex said:
That is rather garbled. Please clarify.

With regard to the question, I do not understand how you are supposed to know exactly where B is.
I was meant to put between odd numbers of nodes is the phase difference pi radians?
 
Lamar Ngolo said:
I was meant to put between odd numbers of nodes is the phase difference pi radians?
Ok.
In this question, O, A and C are antinodes, but the same method applies.
Counting from O, how many antinodes away is A? Is that an even or odd number?
How about from O to C?
 
haruspex said:
That is rather garbled. Please clarify.

With regard to the question, I do not understand how you are supposed to know exactly where B is.
haruspex said:
Ok.
In this question, O, A and C are antinodes, but the same method applies.
Counting from O, how many antinodes away is A? Is that an even or odd number?
How about from O to C?
Would it not just be Pi rad for A and B and 0 for C?
 
Lamar Ngolo said:
Would it not just be Pi rad for A and B and 0 for C?
π For A and 0 for C, but B is not at a node or antinode. As I wrote, from the information given, I don't know how you are supposed to know exactly where B is.
 

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