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Central fringe of blue light 
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#1
Nov1610, 10:48 PM

P: 126

1. The problem statement, all variables and given/known data
Hi It is I again! Can someone please tell me where I went wrong? My answer is all over the place! A narrow beam of light is directed normally at a single slit. The diffracted light forms a pattern on a white screen. A blue filter is placed in the path of the beam before it reaches the slit. The distance across five fringes including the central fringe is 18mm. Calculate the width of the central fringe 2. Relevant equations Using W= (2 x wavelength x D)/a 3. The attempt at a solution Solution: Wavelength = 475nm (450495 range) D = 18mm a= 5 (?) I got 3.32nm! Anybody??? 


#2
Nov1710, 01:39 AM

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P: 1,915

[Edit: the 18 mm value is the distance spanning the central fringe plus 4 other fringes. You do need that for this problem. My original point is that the variable D is the distance from the slit to the screen, which is not necessary to know for this problem.] Keep in mind the problem statement is asking for the width of the central fringe, not the width of the slit! The problem gives you with width of the central fringe plus four other fringes. Your job is to calculate the width of the central fringe, without the four other fringes. The solution is pretty easy if you know basic characteristics of what the diffraction pattern looks like. (Hint: the trick is to realize that the central fringe is special compared to the other fringes. ) 


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