MHB Chapter 36 Problem #9 Diffraction

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The discussion revolves around calculating the distance between the first two diffraction minima for a single slit diffraction pattern. Given a slit width of 1.00 mm and light wavelength of 589 nm, the relevant formula for determining the positions of minima is derived from the diffraction equation. The screen is positioned 3.00 m away from the slit, which factors into the calculations. Participants are encouraged to share the applicable formulas and methods for solving the problem. The focus remains on applying the correct principles of diffraction to find the solution.
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A slit 1.00mm wide is illuminated by light of wavelength 589nm. We see a diffraction pattern on a screen 3.00m away. What is the distance between the first two diffraction minima on the same side of the central diffraction maximum?
 
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Federico said:
A slit 1.00mm wide is illuminated by light of wavelength 589nm. We see a diffraction pattern on a screen 3.00m away. What is the distance between the first two diffraction minima on the same side of the central diffraction maximum?

Hi Federico! Welcome to MHB! :)

Which formula do you have that applies to diffraction patterns?
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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