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Please show all work and formulas Problem 4: The crystalline lens of the human eye is a double-convex lens made of material having an index

Please show all work and formulas

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Problem 4: The crystalline lens of the human eye is a double-convex lens made of material having an index of refraction of n. = 1.41 (although this varies). Its focal length in air is about fair:8.0- mm which also varies. We shall assume that the radii of curvature of its two surfaces have the same magnitude (careful with the sign). (a) Find the radii of curvature of this lens. (b) If an object hot, :=16.0. cm tall is placed doby = 30.0 . cm from the eye lens, where would the lens focus it and how tall would the image be? Is this image real or virtual? Is it erect or inverted? (Note: The results obtained here are not strictly accurate because the lens is embedded in fluids having refractive indexes different from that of air.) Hint use the lens makers equation. (a) R-7 mm (b) d.=8.2 mm May=-2.7 - 10-2 himg =-1.4 mm

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