A farsighted man with eyeglasses problem

  • Thread starter KendrickLamar
  • Start date
In summary, the conversation discussed a farsighted man who uses eyeglasses with a refractive power of 2.20 diopters. He is able to read books held no closer than 0.28 m from his eyes. He is looking for a prescription for contact lenses to serve the same purpose. The conversation also touched on the equation 1/do + 1/di = 1/f and the confusion about the distance in the contact lens prescription. Lastly, a website selling cheap glasses was mentioned.
  • #1
KendrickLamar
27
0

Homework Statement


A farsighted man uses eyeglasses with a refractive power of 2.20 diopters. Wearing the glasses 0.03 m from his eyes, he is able to read books held no closer than 0.28 m from his eyes. He would like a prescription for contact lenses to serve the same purpose. What is the correct contact lens prescription, in diopters?


Homework Equations


1/do + 1/di = 1/f


The Attempt at a Solution


well starting off i figured if the power is +2.20 dipoeters then the fd is going to be -1/2.20
not sure but since with the glasses it would be 1/fd-.03? and then with the contacts what would happen since there no distance? I am just really confused now lol
 
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  • #2
500 views no replies? any ideas?? anyone lol!?
 
  • #3
Find out at what distance d from the eye the image forms with the ordinary eyeglasses when the book is held at 0.28 m from the eye. What should be the focal distance when the lens is on the eye and the distance of the image is equal to d in the same situation?

ehild
 
  • #4
Good glasses

Before long I know a website selling glasses from friend, open to see, found that the glasses in inside are cheap, all discounts, the batch is very low, every specification 12 pcs, can also use paypal, very suitable for our this kind of sell glasses shop. http://www.oho-china-suppliers.com
 
  • #5




Based on the given information, we can use the thin lens equation to find the correct prescription for contact lenses. The thin lens equation is 1/do + 1/di = 1/f, where do is the object distance, di is the image distance, and f is the focal length of the lens. In this case, the object distance is 0.28 m and the image distance is 0.03 m (since the man can read books held no closer than 0.28 m from his eyes with his glasses on). We can rearrange the equation to solve for f, which represents the focal length of the contact lenses:

1/f = 1/do + 1/di
1/f = 1/0.28 + 1/0.03
1/f = 3.57 + 33.33
1/f = 36.90
f = 1/36.90
f = 0.027 m

Now, we can use the formula for refractive power, P = 1/f, to find the correct prescription for the contact lenses. The refractive power is measured in diopters, so we can convert the focal length from meters to diopters by dividing it by 0.01 (since 1 diopter is equal to 1/m):

P = 1/f
P = 1/0.027
P = 37 diopters

Therefore, the correct prescription for the contact lenses is +37 diopters. This will provide the same refractive power as the glasses with a power of +2.20 diopters when the contact lenses are placed at a distance of 0.03 m from the eyes.
 

FAQ: A farsighted man with eyeglasses problem

1. What is a farsighted man with eyeglasses problem?

A farsighted man with eyeglasses problem refers to a condition called hyperopia, where a person has difficulty seeing objects up close due to an irregularly shaped eye. This results in blurry vision and can be corrected with the use of eyeglasses or contact lenses.

2. What are the symptoms of a farsighted man with eyeglasses problem?

The main symptom of hyperopia is difficulty seeing objects up close, as well as eye strain, headaches, and fatigue. Some people may also experience blurry vision at all distances. It is important to get a comprehensive eye exam to properly diagnose and treat hyperopia.

3. How is a farsighted man with eyeglasses problem treated?

A farsighted man with eyeglasses problem can be treated with the use of corrective lenses, such as eyeglasses or contact lenses. In some cases, refractive surgery may be an option to permanently correct the vision problem. It is important to consult with an eye doctor to determine the best treatment plan for each individual.

4. Can a farsighted man with eyeglasses problem be prevented?

Unfortunately, there is no known way to prevent hyperopia. It is a common vision problem that can develop over time or may be present at birth. It is important to get regular eye exams to detect and treat any vision problems early on.

5. Are there any complications associated with a farsighted man with eyeglasses problem?

If left untreated, a farsighted man with eyeglasses problem can lead to eyestrain, headaches, and difficulty performing daily tasks. It can also increase the risk of developing other eye conditions, such as amblyopia (lazy eye) or strabismus (crossed eyes). It is important to address hyperopia to avoid any potential complications.

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