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. Indicate the type of vision problem she has (Nearsighted of farsighted)?

B. Determine the focal length of eyeglass lenses that will correct her problem?

C. 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 (nearsighted or farsighted)?

D. 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?

EXPLANATIONS PLEASE and THANK YOU!

Explanation / Answer

A)

NEAR SIGHTED

(B)

object is at far point

object distanc e= 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)

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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