Two slit interference question dont know how to begin

AI Thread Summary
The discussion revolves around a two-slit interference problem where the distance from the central maximum to the second dark band is provided. Participants emphasize the importance of understanding how light waves interfere, either constructively or destructively, based on path length differences. The key equations involve calculating the path length difference in relation to the wavelength to determine the distance between the slits. The original poster seeks guidance on how to initiate the problem-solving process. Overall, the thread highlights the foundational concepts of wave interference and the need for clarity in applying relevant equations.
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Homework Statement


Two slit interference question: A screen is 2.2m from two slits. The distance from point P to point R (the central maximum to the 2nd dark band) is 1.6mm.
This is what the pattern looks like (l) means light band... (d) means dark band


......P...R
(d) (l) (d) (l) (d) (l) (d) (l) (d) (l) (d)



Homework Equations


Determine the distance between the slits in terms of wavelength (lamda)


The Attempt at a Solution



I don't know how to begin, so I will say what I know... The bands are produced because the light waves interfere either constructively or destructively, depending on path length difference (difference in distance from slit to screen for any two waves) , which effects the phase difference between each waveform. If path length difference is half the wavelength this will produce destructive inteference, because the amplitudes sum and will therefore cancel, producing dark band. If path length is whole number multiple of wavelength, it will produce light band -max intensity, because the amplitudes sum and intensity is proportional to amplitude.

I also know that phase difference is path length difference divided by wavelength times 360deg.

Homework Statement





Homework Equations


please help me to begin??


The Attempt at a Solution

 
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