How Does Wavelength Affect Double-Slit Interference Patterns?

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Wavelength significantly impacts the double-slit interference pattern, with shorter wavelengths producing more closely spaced fringes. In the case of a red laser at 632 nm, the interference pattern will have wider spacing between maxima compared to a blue laser at 450 nm. The positions of maxima and minima can be calculated using the interference equations, which relate wavelength to fringe spacing. Understanding these principles is crucial for accurately drawing the interference pattern for different wavelengths. The discussion emphasizes the importance of wavelength in determining the characteristics of interference patterns.
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Homework Statement


In a double-slit interference experiment, the slits are illuminated with a red laser light at 632 nm. The interference pattern seen on the screen is drawn below:
How would I carefully draw, in the same diagram, the pattern that you would see with a blue laser at 450 nm?



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What are the equation giving the positions of the maxima and minima?
 

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