What Is the Focal Length of Veronique's Glasses for Clear Vision?

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SUMMARY

Veronique's glasses, which were prescribed for her to see clearly up to 8.00 m, have a focal length of approximately -7.98 cm. This negative value indicates that the glasses are concave, suitable for correcting nearsightedness. To determine the greatest distance an object can be placed for clear vision, the lens formula 1/p - 1/q = 1/f is applied, where p is the object distance and q is the image distance. Given that the glasses are positioned 2.0 cm from her eyes, the calculations must account for this distance to find the maximum object distance.

PREREQUISITES
  • Understanding of lens formulas, specifically 1/p - 1/q = 1/f
  • Knowledge of optics, particularly regarding concave lenses
  • Basic algebra skills for manipulating equations
  • Familiarity with the concept of nearsightedness and corrective lenses
NEXT STEPS
  • Study the properties of concave lenses and their applications in vision correction
  • Learn how to derive object and image distances using the lens formula
  • Explore the effects of lens distance from the eye on focal length calculations
  • Investigate other optical devices that utilize similar lens principles
USEFUL FOR

Students studying optics, optometry professionals, and anyone interested in understanding the physics of vision correction through lenses.

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Homework Statement


Veronique is nearsighted; she cannot see clearly anything more than 6.50 m away without her contacts. One day she doesn't wear her contacts; rather, she wears an old pair of glasses prescribed when she could see clearly up to 8.00 m away. Assume the glasses are 2.0 cm from her eyes.

a. What is the focal length of Veronique's glasses?
b. What is the greatest distance an object can be placed so that she can see it clearly with these glasses?

Homework Equations



1/p-1/q=1/f

The Attempt at a Solution



I literally have no idea where to start. any hints appreciated
 
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so i got -7.98 for the focal length. but i don't know how to do b
 

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