1. A woman can read the large print in a newspaper only when it is at a distance of 57 cm or more from her eyes. (a) Is she nearsighted (myopic) or farsighted (hyperopic), and what kind of lens is used in her glasses to correct her eyesight? (b) What should be the refractive power (in diopters) of her glasses (worn 2.6 cm from the eyes), so she can read the newspaper at a distance of 24 cm from the eyes?
2. An object is 25 cm in front of a diverging lens that has a focal length of -17 cm. How far in front of the lens should the object be placed so that the size of its image is reduced by a factor of 2.3?
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