A woman can produce sharp images on her retina only of objects that are from 150

Question

A woman can produce sharp images on her retina only of objects that are from 150 cm to 25 cm from her eyes. a. Is she farsighted or nearsighted? Explain. [+1] b. Determine the focal length of eyeglass lenses that will correct her problem.|+2] Repeat part A for a man who can produce sharp images on his retina only of objects that are 3.0 m or more from his eyes. Is he farsighted or nearsighted? Explain. [+1] c. He would like to be able to read a book held 30 cm from his eyes. Determine the focal length of eyeglass lenses that will correct his problem.+2] d.

Explanation / Answer

A) Considering given data, we can conclude that she's NEAR SIGHTED.

(B) object is at far point

object distance, s = infinity

focal length = f

image distance, s' = -150 cm

1/s + 1/s' = 1/f

1/infinity - 1/150 = 1/f

f = -150 cm

C) She's farsighted.

D) object distance, s = 0.3 m

image distance, s' = 3m

1/s + 1/s' = 1/f

1/0.3 - 1/3 = 1/f

f = 0.33 m = 33 cm

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