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' ============================== Begin Main Program ============================== dirsC = %00010101 do high LED readadc Vdiv, ADCval pause 500 low LED Vin = ADCval * 100 / 51 bintoascii Vin, b4, b3, b2, b1, b0 sertxd (b2,"", b1, b0," volts",cr,lf) pause 500 loop

4noil 555 nm (4)(145)

4. A container could throw an exception in this case; however, that may be an expensive way to detect the condition.

Are the units correct The answer is in nm, which is correct for thickness Is the magnitude realistic The minimum thickness is smaller than one wavelength, which is what it should be

5 In the situation in Example Problem 2, what would be the thinnest film that would create a reflected red ( 635 nm) band 6 A glass lens has a nonreflective coating placed on it If a film of magnesium fluoride, n 138, is placed on the glass, n 152, how thick should the layer be to keep yellowgreen light from being reflected 7 A silicon solar cell has a nonreflective coating placed on it If a film of sodium monoxide, n 145, is placed on the silicon, n 35, how thick should the layer be to keep yellowgreen light ( 555 nm) from being reflected 8 You can observe thin-film interference by dipping a bubble wand into some bubble solution and holding the wand in the air What is the thickness of the thinnest soap film at which you would see a black stripe if the light illuminating the film has a wavelength of 521 nm Use n 133 9 What is the thinnest soap film (n 133) for which light of wavelength 521 nm will constructively interfere with itself

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Figure 19-7 The Morpho butterfly has a blue color that shimmers iridescently (a) An electron microscope is used to view a cross section of the wing looking down the length of the ridges (b) The ridges are steplike structures Matched pairs of light rays from a single step and from multiple steps can interfere (c)

Thin-film interference also occurs naturally on the wings of the Morpho butterfly, shown in Figure 19-7a The shimmering blue of the butterfly is caused by ridges that project up from the ground scales of the wings, as shown in Figure 19-7b Light is reflected from and refracted through a series of steplike structures, as diagrammed in Figure 19-7c, forming a blue interference pattern that appears to shimmer to those who see the butterfly

10 Film Thickness Lucien is blowing bubbles and holds the bubble wand up so that a soap film is suspended vertically in the air What is the second thinnest width of the soap film at which he could expect to see a bright stripe if the light illuminating the film has a wavelength of 575 nm Assume the soap solution has an index of refraction of 133 11 Bright and Dark Patterns Two very narrow slits are cut close to each other in a large piece of cardboard They are illuminated by monochromatic red light A sheet of white paper is placed far from the slits, and a pattern of bright and dark bands is seen on the paper Describe how a wave behaves when it encounters a slit, and explain why some regions are bright while others are dark 12 Interference Patterns Sketch the pattern described in problem 11

Let s take a look at the changes we need to make in the program First of all, Vin needs to be declared as a word variable, not a byte variable we ll soon see why that s necessary The rest of the changes are contained in the three statements immediately following the low LED statement:

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