Figure 35-56a shows two light rays that are initially in

Chapter , Problem 92

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Figure 35-56a shows two light rays that are initially in phase as they travel upward through a block of plastic, with wavelength 400 nm as measured in air. Light ray r1 exits directly into air. However, before light ray r2 exits into air, it travels through a liquid in a hollow cylinder within the plastic. Initially the height Lliq of the liquid is 40.0 mm, but then the liquid begins to evaporate. Let f be the phase difference between rays r1 and r2 once they both exit into the air. Figure 35-56b shows f versus the liquids height Lliq until the liquid disappears, with f given in terms of wavelength and the horizontal scale set by Ls ! 40.00 mm.What are (a) the index of refraction of the plastic and (b) the index of refraction of the liquid?

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