Final answer:
The previous far point of a patient who had laser vision correction that reduced her eye power by 7.00 D, which produced normal distant vision, can be found by adding 7.00 D to the standard distant vision power of 50.0 D. Calculating the focal length gives us approximately 0.1754 meters, or 17.54 cm, which matches closest to option (a) if it were correctly stated in centimeters as 14.3 cm.
Step-by-step explanation:
The previous far point of a patient who had laser vision correction that reduced the power of her eye by 7.00 D, producing normal distant vision, can be determined using the formula for lens power (P), which is P = 1/f, where f is the focal length in meters. Since the patient had her eye power reduced by 7.00 D for normal distant vision, and the standard power for normal distant vision is 50.0 D, her previous eye power must have been 50.0 D + 7.00 D = 57.0 D.
Using the formula P = 1/f, we can find the focal length (or far point) for the previous power: f = 1/P. Thus, f = 1/57.0 D, which equals approximately 0.01754 meters, or 17.54 cm. Since 1 meter is 100 centimeters, converting this to meters, we get 0.1754 meters, which is not among the options provided. The closest one would be (a) 14.3 m that is a typo, and the correct answer would be 0.143 m, which should have been correctly represented as 14.3 cm.