Understanding Far Points and Lens Power in Correcting Myopia

In summary, a nearsighted person with a lens power of -2.00 diopters takes a vision test and finds that their far point is 10.0m. To determine their far point without contact lenses, the person would need to know the far point without correction and use the equation 1/f = 1/o + 1/i. To fully correct the myopia, the person would need a lens power of 2.00 diopters. The position of the far-point depends on the lenses used.
  • #1
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Homework Statement


While carrying contact lenses of D=-2.00 diopters, a nearsighted person takes a vision test and finds that his/her far point is 10.0m
a) what is the person's far point without contact lenses?
b) what lens power is required to correct the myopia fully?

Homework Equations


1/f = 1/o + 1/i
D=1/f

The Attempt at a Solution


This problem was for homework in our optics class, but I don't know how to start the problem. Its not like the usual problems I've been doing. Any help would be greatly appreciated.
 
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  • #2
If you knew the far-point without correction, how would you determine the diopter value of the corrective lenses required?
How does the position of the far-point depend on the lenses used?
 
  • #3
Do you know what the far point is?
 

Related to Understanding Far Points and Lens Power in Correcting Myopia

1. What is the far point in optics?

The far point in optics refers to the point at which an object appears to be infinitely far away when viewed through a lens or optical system. In other words, the light rays coming from the object are parallel by the time they reach the observer's eye.

2. How is the far point related to vision and eyesight?

The far point is a crucial concept in vision and eyesight because it determines the ability of the eye to focus on objects at different distances. The closer an object is to the far point, the more difficult it is for the eye to focus on it, leading to blurred vision.

3. What factors affect the far point in optics?

The far point can be affected by several factors, including the shape of the lens, the distance between the lens and the object, and the properties of the light being transmitted through the lens. It can also be affected by any abnormalities in the eye, such as nearsightedness or farsightedness.

4. How is the far point measured in optics?

The far point is usually measured in meters and is denoted as "infinity" in optical calculations. It can also be calculated by using the formula 1/f, where f is the focal length of the lens.

5. Can the far point be changed or adjusted?

In some cases, the far point can be adjusted by using corrective lenses to compensate for any refractive errors in the eye. However, the far point is primarily determined by the anatomy and structure of the eye and cannot be changed permanently without surgical intervention.

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