Optics: Destructive Interference

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SUMMARY

The discussion centers on the application of the equation dsin(theta) = λ(m) in optics, specifically regarding the calculation of the first minimum or dark fringe in interference patterns. The confusion arises around the use of (m + 1/2) for determining the position of the first dark fringe. It is established that m represents the order of the fringe, where m = 0 corresponds to the first minimum. The correct application of these formulas is crucial for accurately predicting interference patterns in experiments.

PREREQUISITES
  • Understanding of wave optics principles
  • Familiarity with interference patterns and fringe orders
  • Knowledge of the sine function in trigonometric equations
  • Basic grasp of wavelength (λ) and its role in interference
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  • Study the derivation of the interference equations in wave optics
  • Learn about the conditions for constructive and destructive interference
  • Explore practical applications of interference patterns in experiments
  • Investigate the impact of varying wavelength on fringe spacing
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SHAWN JAMES
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Homework Statement
I had a question on where i use (m+1/2), in the equation dsin(theta)=Lambda(m).
Relevant Equations
dsin(theta)=lambda(m)
I thought if the question asks for the first minimum or the first dark fringe you use (m+1/2) but i am not getting the right answer. I was hoping if someone could tell me in what situations the (m+1/2) would apply? Thanks in advance.
 
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SHAWN JAMES said:
Homework Statement:: I had a question on where i use (m+1/2), in the equation dsin(theta)=Lambda(m).
Relevant Equations:: dsin(theta)=lambda(m)

for the first minimum or the first dark fringe you use (m+1/2)
Where m is what?
Please post the whole question and your attempt.
 

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