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We aim a red (620 nm) laser onto a small screen that has two slits that...

We aim a red (620 nm) laser onto a small screen that has two slits that are 0.1 mm apart. Each slit has a width of 0.03 mm. The light coming out of the two slits is projected onto a big screen a distance X from the slits. In the photo on the right you can see the pattern that’s visible on the big screen. Using a ruler, we determine that the distance between two adjacent bright spots is equal to 12 mm.

When we aim the 620-nm laser on a special piece of glass, we find that none of the light is being reflected! That’s because the glass has been coated with a very thin layer of MgF2 which has a refractive index of 1.37, while the glass itself has a refractive index of 1.52.

  1. [5 points] Determine the minimum thickness of the MgF2 layer. Give your answer in nanometers.
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