Interference/diffraction pattern formed by 2 slits

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The discussion focuses on calculating the interference and diffraction pattern created by two slits for light with a wavelength of 600 nm, positioned 2.0 m from a wall. Key equations include d sin(theta) = mλ and a sin(theta) = mλ, with the ratio of slit separation to width given as d/a = 5. The user has identified that the dark spot is located 0.0045 m from the center point and seeks assistance in solving for theta. The conversation highlights the importance of visual aids in understanding the problem, as one participant notes the challenge of not having access to the referenced figure. The thread emphasizes the application of mathematical relationships in determining the parameters of the interference pattern.
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Homework Statement



interference/diffraction pattern formed by two slits for light with λ=600nm on a wall L=2.0m from the slits. find a (width) and d (separtation of slits.

Homework Equations



looking at the figure given d/a=5
dsin(theta)=mλ
asin(theta)=mλ

The Attempt at a Solution



so dsin(theta)=5(lambda) and asin(theta)=1λ
also looking at the figure the dark spot appears .0045m from the center point.
How do I solve for theta?
 
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uwbadger17 said:

Homework Statement



interference/diffraction pattern formed by two slits for light with λ=600nm on a wall L=2.0m from the slits. find a (width) and d (separtation of slits.

Homework Equations



looking at the figure given d/a=5
dsin(theta)=mλ
asin(theta)=mλ

The Attempt at a Solution



so dsin(theta)=5(lambda) and asin(theta)=1λ
also looking at the figure the dark spot appears .0045m from the center point.
How do I solve for theta?

Unfortunately we don't have the luxury of being able to "look at the figure given".
 
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