How many nodal lines for two point sources at 2.5 lamda separation?

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SUMMARY

The discussion centers on calculating the number of nodal lines created by two point sources emitting identical waves at a wavelength (λ) and separated by a distance of 2.5λ. According to the formula provided, the number of nodal lines is determined by the equation N = ⌊2(d/λ)⌋, where d is the separation distance. The initial calculation yielded 5 nodal lines, but upon further consideration, the correct total is 10 nodal lines, accounting for both sides of the line connecting the sources.

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  • Familiarity with coherent wave sources
  • Knowledge of wavelength (λ) and its significance in wave physics
  • Ability to apply mathematical floor functions in physics equations
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  • Learn about the derivation and application of the nodal line formula
  • Explore the effects of varying distances between coherent sources on interference patterns
  • Investigate real-world applications of nodal lines in optics and acoustics
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MaryCate22
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Homework Statement


How many nodal lines are created by two point sources emitting at the same wavelength that are separated by a distance equal to 2.5 lamda?

Homework Equations


My textbook says, "If two coherent sources located a distance d apart emit identical waves of wavelength lamda, then the number of nodal lines on either side of a straight line running through the centers of the sources is the greatest integer smaller than or equal to 2(d/lamda)."

The Attempt at a Solution


Using the formula from the textbook I get 5 nodal lines. But this answer is incorrect. I've also tried 3 based on the fact that nodal lines occur in places where the path difference from the sources are some 0.5 lamda, 1.5 lamda, 2.5 lamda,... etc. I'm thinking based on the quote from the textbook that I need to double my answer of five since the answer is just for one side of a line running through the center of the sources. I really don't want to lose anymore credit however. Any hints?
 
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Never mind you guys, I solved it. N=10 was in fact the correct answer. Sorry y'all.
 

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