Nodal Lines from Two Point Sources: Solving for d/lambda

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The discussion revolves around the calculation of nodal lines created by two point sources emitting waves at the same wavelength, specifically when the sources are separated by a distance of 4.5 times the wavelength.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the number of nodal lines based on the distance between sources and the wavelength, with some questioning the correctness of the original poster's calculation.

Discussion Status

There is an ongoing exploration of the number of nodal lines, with various interpretations being discussed. Some participants suggest that the original calculation may be incorrect, while others provide reasoning for differing counts of nodal lines based on the arrangement of the sources.

Contextual Notes

Participants note that the distance given is an odd number of half wavelengths, which raises questions about the practical implications of the scenario and the assumptions involved in the calculations.

Barry Melby
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How many nodal lines are created by two point sources emitting at the same wavelength that are separated by a distance equal to 4.5*lambda?

I used the equation 2(d/lambda) which in this case equals 9, but I've been told this is incorrect. Where have I gone wrong?
 
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Did you draw a sketch?
 
yes, i drew a sketch and 9 nodal lines seems correct.
 
Hmm... 9 looks correct if the two point sources emit in phase.
 
There are 10 nodal lines, because the one in the middle is an anti-nodal line. So there are 7 anti - nodal lines. Because the wavelength difference is 4.5, doesn't make sense to have one less nodal line.
 
Last edited:
Mgl003 said:
There are 10 nodal lines, because the one in the middle is an anti-nodal line.
It is an even number, yes, but the question is unreasonable in that the given distance is itself an odd number of half wavelengths. There is no way it would be exactly so in practice, and the answer changes according to whether it is just slightly more or slightly less.
 

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