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# interference

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7. Sunlight incident on a screen containing two long narrow slits 0.2mm apart casts a pattern on a white sheet of paper 2m beyond. What is the distance (in mm) separating the violet (lambda = 400nm) in the first-order band from the red (lambda = 600nm) in the second order?

8. A soap film has an index of refraction of 1.334. How thick (in nm) is the film if one-half of a wavelength of red light (with a vacuum wavelength of 700nm)extends from one surface across the film to the other surface?

9. A think film of ethyl alcohol (n = 1.36) spread on a at glass plate and illuminated with white light shows a lovely color pattern in reflection. If a region of the film reflects only green light (500nm) strongly, what is its minimum thickness (in nm)?

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Interference
7. Sunlight incident on a screen containing two long narrow slits 0.2 mm apart casts a pattern on a white sheet of paper 2 m beyond. What is the distance (in mm) separating the violet (lambda = 400nm) in the first-order band from the red (lambda = 600nm) in the second order?
For this double-slit interference, d = 0.2 mm, L = 2 m
The distance between the first order band of violet and the center is

The distance between the second order band of red and the center is

So the distance separating the two bands is
x = 12 - 4 = 8 mm.

8. A soap ...

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