Map University Physics Kesten Tauck presented by Sapling Learning arsighted eye

Question

Map University Physics Kesten Tauck presented by Sapling Learning arsighted 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 point of 95.5 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

let object distance, u = 95.5 cm

image distance, v = -25 cm

let f is the focal length of the lens

use,

1/f = 1/u + 1/v

1/f = 1/95.5 + 1/(-25)

f = -33.86 cm

= -0.3386 m

power of the lens, P = 1/f

= 1/(-0.3386)

= -2.95 diopters <<<<<<-----------------Answer

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