(6)
Now look at the diagram. In the top diagram [1] you can see 2 rays coming
through adjacent openings between threads. They hit the far wall at the
brightest center dot position.
In these diagrams,
D is the distance from the cloth to the wall
d is the distance on the wall between 2 adjacent bright dots
spacing is the thread spacing in the cloth
lambda is the wavelength of the laser pointer
In the second drawing [2] 2 rays constructively interfere to make
the next dot on the wall. The triangle is tipped down, and the gap that opens
up on the top left is one wavelength (lambda) wide.
We can now draw 2 skinny similar triangles [3]. Triangle (A) has
short side d and long sides D. Small triangle (B) has small side
lambda and long sides spacing.
We can now write lambda/spacing = d/D, and therefore
lambda = d×spacing/D
Filling in the numbers, I get lambda=568 nm.
On the laser's label it says 532±10 nm, so I was off by
only 7%. Good enough for a quick kitchen measurement!
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