Calculating Smallest Path Length Difference for Overlapping Waves at Nodal Point

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Homework Help Overview

The problem involves two point sources, S1 and S2, producing waves with a given wavelength of 2.5 m, and the discussion centers around calculating the smallest path length difference at a nodal point where the waves overlap.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about how to start the problem and what equations might be relevant. There are questions regarding the definitions of sources, nodal points, and the paths from the sources to the nodal line.

Discussion Status

Some participants have provided guidance on the relationship between path length difference and wavelength, while others are still seeking clarity on the concepts involved. Multiple interpretations of the problem are being explored, and there is no explicit consensus yet.

Contextual Notes

Participants are grappling with the definitions and relationships relevant to the problem, indicating a need for further exploration of the concepts of path length difference and nodal points.

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Homework Statement


Two point sources, S1 and S2, are vibrating in phase and produce waves with a wavelength of 2.5 m. The two waves overlap at a nodal point. Calculate the smallest corresponding difference in path length for this point.

Homework Equations

The Attempt at a Solution


I really don't know how to start this question. How can I find the length when I am only given the wavelength
 
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What relevant equations do you think you would need?
 
rpthomps said:
What relevant equations do you think you would need?
sinθn= (n-1/2) (λ/d) , honestly I really don't understand what this question is asking
 
Last edited:
Do you know what sources are, nodal points and the paths from the sources to the point on the nodal line?
 
rpthomps said:
Do you know what sources are, nodal points and the paths from the sources to the point on the nodal line?
yes
 
There is a relationship which shows that the length of a line from a point on nodal line n, to source 1 and the length of another line from the same point on nodal line n, to source 2, when subtracted have a value dependent on the wavelength of the sources. Do you remember learning about path length difference?
 

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