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Hello, please answer and explain : You are building a robot and you need a lens for its eye. The focal length of the lens

Hello, please answer and explain :

You are building a robot and you need a lens for its eye. The focal length of the lens must be close to 15 cm. You order three acrylic lenses and have to decide which one has the right focal length. The manufacturer's specifications give you the radii of curvature shown in Table 1.

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Data Set Sin di Sin Or (9) (9) 0. 087 0.052 0. 174 0.122 0. 259 0. 174 0.342 0.242 0. 423 0.293 0.5 0.342 0.6 . 0.574 0.391 0.643 0.439 10 0.707 0.485 0. 766 0.515 0. 819 0.559 0. 867 0.588 Linear Fit for: Data Set | Sinus de l'angle de refraction, Sin er 0.906 0.616 0.643 Sin er = mx+b 15 0.939 m (Slope): 0.6799 +/- 0.003226 / 16 0. 966 0. 656 0.985 0.669 b (Y-Intercept): 0.0009312 +/- 0.002144 . Correlation: 0.9998 18 RMSE: 0.004178 . 19 20 21 0.4 - 22 23 24 Sinus de l'angle de refraction, Sin or (") 26 O 32 33 34 0.2- 36 39 41 42 45 O 48 49 0.6 0.8 50 0.2 0.4 51 Sinus de l'angle d'incidence , Sin oi () (4x:0.985 Ay:0.000)Table 1 - Radii of curvature of lenses Surface 1 Surface 2 Type Rayon Type Rayon |Ril Lentille #1 convexe 24 cm convexe 16 cm Lentille #2 convexe 28 cm convexe 28 cm Lentille #3 convexe 16 cm convexe 12 cm350 340 300 30 310 260 047 Figure 1 - Deflection of a laser beam at an incidence angle of 45 through a rectangular

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