Geometric Optics and Lens Power

AI Thread Summary
A farsighted boy needs corrective lenses to bring his near point from 2.3 m to within 25 cm. The calculations indicate a required lens power of 3.57 diopters, but the available options are in increments of 0.25 diopters, making 3.75 the correct choice. The discussion emphasizes the importance of selecting the nearest available lens power that meets the vision correction requirement. Participants clarify that the lens power must be chosen based on the closest increment to the calculated value. Ultimately, the correct lens power for the boy's eyeglasses is 3.75 diopters.
CCR5
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Homework Statement


A farsighted boy has a near point at 2.3 m and requires eyeglasses to correct his vision.

Corrective lenses are available in increments in power of 0.25 diopters. The eyeglasses

should have lenses of the lowest power for which the near point is no further than 25

cm. The correct choice of lens power for eyeglasses, in diopters, is:

Homework Equations


1/s + 1/s' = 1/f
1/f = P

The Attempt at a Solution


I keep getting a value of 3.57 diopters, however, the correct answer is 3.75.
 
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CCR5 said:
Corrective lenses are available in increments in power of 0.25 diopters.
3.57 diopters does not exist as a choice. :rolleyes:
 
kuruman said:
3.57 diopters does not exist as a choice. :rolleyes:
Wonderful... Can you shed some light on the increment and its relation to the correct answer of 3.75?
 
CCR5 said:
Can you shed some light on the increment ...
You already answered this by yourself!
CCR5 said:
Corrective lenses are available in increments in power of 0.25 diopters.
... and its relation to the correct answer of 3.75
Ergo: you have to chose between 3.5 and 3.75. Now you have to calculate which distance at diopters of 3.5 or 3.75 fulfills the requirement "near point no further than ..."
 
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fresh_42 said:
You already answered this by yourself!Ergo: you have to chose between 3.5 and 3.75. Now you have to calculate which distance at diopters of 3.5 or 3.75 fulfills the requirement "near point no further than ..."

Errm. So based off the given answers, which ever is closest to to my value an estimated value of 0.25 increment? Gotcha! Thank you for your response.
 
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