The diameters of fine fibers can be accurately measured

Chapter , Problem 25

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The diameters of fine fibers can be accurately measured using interference patterns. Two optically flat pieces of glass that each have a length are arranged with the fiber between them, as shown in Figure 33-40. The setup is illuminated by monochromatic light, and the resulting interference fringes are observed. Suppose that is and that yellow sodium light is used for illumination. If 19 bright fringes are seen along this distance, what are the limits on the diameter of the fiber? Hint: The nineteenth fringe might not be right at the end, but you do not see a twentieth fringe at all.

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