Calculating Focal Length of Human Eye When Focusing Closely

In summary, the focal length of a relaxed human eye is approximately 1.78 cm, but when we focus closely, the refractive power of the eye can change by about 16 diopters. To calculate the focal length in this scenario, we can use the equation 1/di+1/do=1/f, with 16 diopters being equivalent to 1/16 meters. This will help determine if the value of 1/f will get larger or smaller when focusing on a close-up object.
  • #1
gadawg90
18
0
The focal length of a relaxed human eye is approximately 1.78 cm. When we focus our eyes on a close-up object, we can change the refractive power of the eye by about 16 diopters. Calculate the focal length of the eye when we focus closely.



1/di+1/do=1/f



im not really sure what to do with the diopters. please help me start the problem.
 
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  • #2
A diopter is 1/f measured in meters. So 16 diopters would be 1/16 meters.
 
  • #3
alright so the 1.78 cm needs to be changed to .0178 m. do i need to incorporate that equation somehow or is this a really simple problem?
 
  • #4
someone please help. this homework is due tonight and i don't know where to go from here
 
  • #5
Hope this isn't too late.

A 16 diopter change means the following:
The value of 1/f is changed by 16/m or 16 m-1
You just need to figure out if 1/f would get larger or smaller, given that the eye is focusing on something close up.
 

1. What is the focal length of the human eye when focusing closely?

The focal length of the human eye when focusing closely can vary between 17-19 mm. This means that when the eye is focusing on objects that are close, the distance between the lens and the retina is around 17-19 mm.

2. How is the focal length of the human eye calculated?

The focal length of the human eye can be calculated by dividing the distance between the lens and the retina by the power of the lens. The power of the lens is measured in diopters.

3. Does the focal length of the human eye change with age?

Yes, the focal length of the human eye can change with age. As we get older, the lens of the eye becomes less flexible, which can affect the focal length and lead to presbyopia, a condition where it becomes difficult to focus on close objects.

4. Can the focal length of the human eye be affected by external factors?

Yes, the focal length of the human eye can be affected by external factors such as the shape of the cornea, the thickness of the lens, and the condition of the eye muscles.

5. Why is knowing the focal length of the human eye important?

Knowing the focal length of the human eye is important for understanding how the eye focuses on objects at different distances. It can also help in diagnosing and treating vision problems, such as nearsightedness or farsightedness.

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