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Engineers need to measure refractive index (RI) either to directly inspect the quality of the final product or to assist in measuring other important analytical

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Engineers need to measure refractive index (RI) either to directly inspect the quality of the final product or to assist in measuring other important analytical variables. The focus of this question is density measurement". The density of a transparent liquid is not constant, and thus there is a need to monitor that variation. By analyzing it via a refractometer, the following two facts have been found: At the lowest density, the liquid refractive index reaches its lowest value: Plow Now At the highest density, the liquid refractive index reaches its highest value: Phigh Nhigh A team of engineers have been asked to design a density measurement system based on Snell's law by assuming that the preceding proportional relation between p and n is linear. One of the suggested designs is shown below. You, as members of that team, are asked to find the correct height of the scale, in mm, that needs to be manufactured by 3D printing. = 15 PL Leer Phi Process Tank liquid density SC Each group is assigned to use the following parameters: Group 1 Group 2 Group 3 ; 60 55 50 x 50 cm 45 cm 35 cm 1.35 1.33 nliquid low 1.34 n liquid.high 1.42 1.40 1.43 Group 4 53 40 cm 1.33 1.39 Group 5 57 55 cm 1.36 1.46

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