The image of a soap film, shown above, has been decomposed into its three colors

Question

The image of a soap film, shown above, has been decomposed into its three colors: red, green and blue. These images, shown below, are in black and white to hide their true color. Determine, based on the fringe pattern, which color belongs with each image. (Note: at first glance, the images look about the same, but you can tell the difference if you look carefully and know what feature you are trying to compare among them.)

My thoughts:

I am using the fact that 'the fringes will increase in size (thickness) as the wavelength decreases). I know that the order from smallest to largest wavelength is blue then green, then red. From the pictures shown, I believe that the rightmost image has the largest fringes so it should be blue light. The left and middle ones I can't really tell now that I look at it it looks like the narrowest fringes occur in the middle one, so it should actually be red then the left should be green? Does this sound correct or good reasoning? Thanks!

Explanation / Answer

I think that we must find the number of brighr fringes for them:

left one has 9 bright friges

middle one has 8 bright fringes

right one has 7 bright fringes

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bright frings: 2nt = (m + 1/2)

(t is thikness)

So, the longest must have smallest number of bright fringes

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So, the left one must be for BLUE

the middle one must be for GREEN

the right one must be for RED

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