Calculating Diopters for Bifocals: What Power Should They Have?

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In summary, the problem involves finding the correct power for bifocals for a person who can see clearly between 49 cm and 1.5 m for distant objects and at 25 cm for closer objects. The equations used are P = 1/f and the answers for the two parts are 204 D and 66.6 D for the upper portions and 400 D for the lower portions. The person asking for help is unsure if their calculations are correct and is seeking assistance.
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DrMcDreamy
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Homework Statement



This is a 2 part problem:

4- A person is to be fitted with bifocals. She can see clearly when the object is between 49 cm and 1.5 m from the eye. The upper portions of the bifocals should be designed to enable her to see distant objects clearly. What power should they have? Answer in units of diopters.

5- The lower portions of the bifocals should en- able her to see objects comfortably at 25 cm. What power should they have? Answer in units of diopters.

Homework Equations



P=[tex]\frac{1}{f}[/tex]

The Attempt at a Solution



4- P = [tex]\frac{1}{0.49 m}[/tex] = 2.04 x 100 = 204 D
or it might be P = [tex]\frac{1}{1.5 m}[/tex] = 0.666 x 100 = 66.6 D

5- P = [tex]\frac{1}{0.25 m}[/tex] = 4 x 100 = 400 D

I know I am doing something wrong can you help me?! TIA
 
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1. What are diopters?

Diopters are a unit of measurement used to describe the refractive power of a lens. It is a unit of measurement of the optical power of a lens, and is equal to the reciprocal of the focal length of the lens in meters.

2. Why is diopter calculation important?

Diopter calculation is important because it helps determine the correct lens prescription for individuals with refractive errors such as nearsightedness, farsightedness, and astigmatism. It is also used in the manufacturing of lenses for glasses and contact lenses.

3. How is diopter calculation done?

To calculate diopters, you need to know the focal length of the lens in meters. The diopters can be calculated by dividing 1 by the focal length in meters. For example, a lens with a focal length of 0.5 meters would have a power of 2 diopters (1/0.5 = 2).

4. Can diopter calculation be done at home?

Diopter calculation can be done at home with the help of a lensometer, which measures the power of lenses. However, it is recommended to consult an eye care professional for an accurate and personalized diopter calculation.

5. How often should diopter calculation be done?

It is recommended to have your diopters calculated by an eye care professional at least once a year or as advised by your doctor. Changes in diopters can indicate changes in your vision and may require a new prescription for glasses or contact lenses.

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