Problem 1: In the ray diagram shown below (angles not to scale), the ray is incident a the critical angle on the interface between materials 2 and 3. Angle o = 60.0, and two of the indexes of refraction are nj = 1.70 and n2 = 1.60. (a). What is the index of refraction n3? (b). What is the angle 0? (c). If 0 decreased, does light refract into material 3? 12 Problem 2: For a patient, a doctor prescribes glasses with a converging lens having a power of 4.0 D. (a). Is the patient nearsighted or farsighted? (b). If the patient is nearsighted, what is the location of her eye's far point? If they are farsighted, what is the location of their near point? Problem 3: A combination of two identical lenses shown in the figure below. A 2.0-cm-tall object is placed 36 cm away from the first lens. (a). What is the position of the the final image? (b). What is the size of the final image? (c). What is the orientation of the final image? f = 9.0 cm 2.0 cm 14 36 cm 15 cm