Contact lenses are placed right on the eyeball, so the distance from the eye to

Question

Contact lenses are placed right on the eyeball, so the distance from the eye to an object (or image) is the same as the distance from the lens to that object. A certain person can see distant objects well, but his near point is 48.0cm from his eyes instead of the usual 25.0cm.Is this person nearsighted or farsighted?What type of lens (converging or diverging) is needed to correct his vision.Partc:If the correcting lenses will be contact lenses, what focal length lens is needed ?partd:What is the power corresponding to the focal length found in part (C) in diopters

Explanation / Answer

Part A)

Farsighted

Part B)

Converging lens (proof below)

Part C)

Apply 1/f = 1/p + 1/q

1/f = 1/25 + 1/-48

f = 52.2 cm (positive focal length proves the lens is converging)

Part D)

D = 1/f (in meters)

D = 1/.522

D = 1.92 diopters

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