Necessary power for reading glasses

In summary, the person needs reading glasses with a power of 6.673 D in order to read at a normal near point of 25 cm, assuming the glasses are placed 2.0 cm from the eye. The calculations were based on the lens equation and the equation for the power of a lens.
  • #1
grouper
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Homework Statement



A person struggles to read by holding a book at arm's length, a distance of 45 cm away (near point). What power of reading glasses should be prescribed for him, assuming they will be placed 2.0 cm from the eye and he wants to read at the normal near point of 25 cm?

Homework Equations



P=1/f (where f is in meters)

1/f=1/do+1/di where do=distance to object and di=distance to image

The Attempt at a Solution



This seemed simple so I must be missing a detail. We want the object 25 cm away from the eye, which is 23 cm away from the lens because the lens is 2 cm in front of the lens, so do=23 cm. We want the image to be at the near point, which is 45 cm from the eye (43 cm from the lens), so di=43 cm. Using the lens equation above, that makes f=14.98 cm and using the equation for the power of the lens (with f in meters), the power is 6.673 D. This is incorrect, though, and I can't find the error in my process.
 
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  • #2
I figured this one out; don't worry about it.
 

1. What is the necessary power for reading glasses?

The necessary power for reading glasses varies depending on the individual's eyesight. It is typically measured in units called "diopters," with powers ranging from +1.00 to +4.00. It is important to get an eye exam to determine the exact power needed for your reading glasses.

2. How do I know what power reading glasses I need?

The best way to determine the necessary power for your reading glasses is to get an eye exam. An optometrist or ophthalmologist can measure your eyesight and prescribe the appropriate power for your glasses. They may also perform a test called a "near vision test" to determine the power needed for your reading glasses.

3. Can I use the same power for reading glasses as my regular glasses?

No, the power for reading glasses is usually different from the power for regular glasses. Reading glasses are designed to correct near vision, while regular glasses correct for distance vision. It is important to get a separate prescription for reading glasses to ensure proper vision correction.

4. How often do I need to change the power of my reading glasses?

The power of reading glasses may need to be changed as your eyesight changes. It is recommended to get an eye exam every 1-2 years to check for any changes in your vision and adjust the power of your glasses accordingly. If you notice any changes in your vision, it is important to get your eyes checked as soon as possible.

5. Are there any alternatives to reading glasses for correcting near vision?

Yes, there are other options for correcting near vision, such as multifocal glasses, contact lenses, or surgery. However, reading glasses are typically the most affordable and convenient option for those who only need correction for near vision. It is best to consult with an eye doctor to determine the best option for your specific needs.

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