[Solved] Double Slit Experiment Problem Question #1  

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In an experiment, a beam of coherent light of wavelength 450 nm is incident perpendicular onto a pair of slits. The distance between the center of the slits is 1.6*10^-5 m. The screen is 2.5 meters away from the slits. What is the distance between two dark fringes?

That one guy that's always on

 
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Here is my answer. I will post one of these a week, each progressively getting harder.

That one guy that's always on

 
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Thanks for the question and continued support on the site Lucas. My answer attached below is much simpler and takes advantage of the fact that it is a double slit experiment. I'm not sure if you've studied it, but as supposed to the diffraction grating where you must use the formula dsinθ = nλ. The formula below relates the fringe separation (w) to the slit separation (s) and the wavelength of light, and the distance to the screen. It is much more simple!

My solution is attached below, and as you can see it took me half a minute!

PlanckTime - Amin

 
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We came up with the same answer, so it doesn't really matter. I have never heard of the simpler equation, but I did the hard labor of the original equation that I've heard of. I'm not sure, but the next one (I'll probably post it today), the "original" equation will most likely need to be used.

That one guy that's always on

 
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Lucas I'm not criticizing your method, don't worry. I was just saying in the future it could save you a lot of time to use the equation discussed above. 🙂

PlanckTime - Amin

 
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