# Geometric optics (near point problem)

• Augustine Duran
In summary, a person with a near point of 100 cm and excellent distant vision, normally wears corrective glasses but has lost them while traveling. Fortunately, they have their old pair as a spare with lenses having a power of +2.55 diopters. When these glasses rest 2.00 cm in front of the eye, the near point is calculated to be 98 cm.
Augustine Duran

## Homework Statement

A person with a near point of 100 cm , but excellent distant vision, normally wears corrective glasses. But he loses them while traveling. Fortunately, he has his old pair as a spare. If the lenses of the old pair have a power of +2.55 diopters , what is his near point (measured from his eye) when he is wearing the old glasses if they rest 2.00 cm in front of his eye?

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

## The Attempt at a Solution

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im having trouble figuring out what's the image distance and object distance. I am assuming his original near point (100cm) is the image distance. If i plug in -98cm (subtracting the 2.0 cm from his eye) and 39.2 as the focal length that means ill be solving for S, which is confusing me since s is for object distance yet there's no object? wouldn't his new near point also be an image distance?

The near point is the closest distance (measured from the eye) that an object can be placed and still be seen clearly.

## What is the near point problem in geometric optics?

The near point problem in geometric optics refers to the difficulty in accurately focusing light rays from a distant object onto the retina of the eye, resulting in blurred vision for objects that are too close to the observer.

## What causes the near point problem?

The near point problem is caused by the inability of the eye's lens to adjust its shape and curvature enough to refract light rays from near objects onto the retina. This is due to the natural aging process and can also be influenced by certain medical conditions.

## How is the near point problem corrected?

The near point problem can be corrected through the use of corrective lenses, such as glasses or contact lenses, which help to adjust the incoming light rays so that they can be properly focused onto the retina. In some cases, surgery may also be an option.

## What is the difference between the near point and the far point of vision?

The near point of vision refers to the closest distance at which the eye can focus on an object without it appearing blurred, while the far point of vision refers to the farthest distance at which the eye can focus on an object without it appearing blurred. They are essentially opposite ends of the same visual spectrum.

## Can the near point problem be prevented?

The near point problem cannot be prevented, as it is a natural part of the aging process. However, maintaining good eye health and getting regular eye exams can help to identify and correct any vision problems, including the near point problem, early on.

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