UNIVERSITY PHYSICS Philip R. Kesten David L. Tauck Sapling leaming A farsighted

Question

UNIVERSITY PHYSICS Philip R. Kesten David L. Tauck Sapling leaming A farsighted eye is corrected by placing a converging lens in front of the eye. The lens will create a virtual image that is located at the near point (the closest an object can be and still be in focus) of the viewer when the object is held at a comfortable distance (usually taken to be 25.0 cm). If a person has a near oint of 37.5 cm, what power reading glasses should be prescribed to treat this hyperopia? Assume that the distance from the eye to the lens is negligible. Number diopters

Explanation / Answer

For this problem,

object distane, do =25 cm

and image will be formed at near point,

di = - 37.5 cm   (minus sign because image is virtual)

using lens equation,

1/f = 1/di + 1/do

1/f = 1/(-37.5) + 1/25

f = 75 cm = 0.75 m

P = 1/f = 1.333 D

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