Geometric Optics and Lens Power

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SUMMARY

The discussion centers on calculating the appropriate lens power for a farsighted boy with a near point of 2.3 meters, requiring correction to a maximum near point of 25 cm. The correct lens power is determined to be 3.75 diopters, as corrective lenses are available in increments of 0.25 diopters. The participant initially calculated 3.57 diopters, which is not a valid option, leading to the conclusion that 3.75 diopters is the necessary choice for effective vision correction.

PREREQUISITES
  • Understanding of geometric optics principles
  • Familiarity with lens power calculations
  • Knowledge of the lens maker's equation: 1/s + 1/s' = 1/f
  • Basic grasp of diopters and their increments
NEXT STEPS
  • Study the lens maker's equation in detail
  • Learn about the relationship between focal length and lens power
  • Research the effects of different lens powers on vision correction
  • Explore practical applications of corrective lenses in optical devices
USEFUL FOR

This discussion is beneficial for students studying optics, optometrists, and anyone involved in the design or selection of corrective lenses for vision improvement.

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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