Optics with corrective eyeglasses

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SUMMARY

The discussion focuses on calculating the power of corrective eyeglass lenses for myopia using the lens formula. The specific case involves Uncle Albert, who can see clearly between 24.2 cm and 185 cm without glasses. The solution provided indicates that the required lens power is -4.45 diopters (D), derived from the lens formula 1/do + 1/di = 1/f, where do is the object distance and di is the image distance. The calculation accounts for the distance of the lenses from the eyes, which is 1.66 cm.

PREREQUISITES
  • Understanding of the lens formula: 1/do + 1/di = 1/f
  • Knowledge of diopter measurement for lens power
  • Familiarity with concepts of myopia and corrective lenses
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the application of the lens formula in different optical scenarios
  • Learn about the effects of lens distance on corrective lens power
  • Explore the relationship between object distance, image distance, and focal length
  • Investigate other types of refractive errors and their corrective measures
USEFUL FOR

Optometry students, physics students studying optics, and anyone interested in understanding corrective lenses for myopia.

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Homework Statement


Without glasses, your uncle Albert can see things clearly only if they are between 24.2 cm and 185 cm from his eyes. What power eyeglass lens will correct your uncle's myopia? Assume the lenses will sit 1.66 cm from his eyes.


Homework Equations



1/do + 1/di = 1/f

The Attempt at a Solution



I got the answer right but I'm not sure why it was right. If someone can explain this for me, it would be greatly appreciated. Thanks.
 
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Answer: -4.45 diopters (D) 1/24.2 + 1/185 = 1/f 1/f = 0.010978836 f = 90.6834 1/90.6834 + 1/d = 1/1.66 1/d = 4.45 d = -4.45 D
 

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