What Should Be the Focal Length of Kat's Corrective Contact Lenses?

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SUMMARY

The focal length of Kat's corrective contact lenses is determined to be -70.0 cm based on the lens formula 1/f = 1/p + 1/q. In this scenario, p is considered as infinity for distant objects, and q is -70.0 cm, representing the distance at which Kat can see clearly without lenses. The calculation confirms that the focal length required for her lenses is indeed -70.0 cm, indicating that they are diverging lenses suitable for her vision correction needs.

PREREQUISITES
  • Understanding of the lens formula (1/f = 1/p + 1/q)
  • Knowledge of optical concepts such as focal length and image distance
  • Familiarity with corrective lenses and their types (converging vs. diverging)
  • Basic principles of optics related to vision correction
NEXT STEPS
  • Research the properties and applications of diverging lenses in vision correction
  • Learn about the impact of lens curvature on focal length
  • Explore the differences between contact lenses and glasses in terms of optical performance
  • Investigate the physiological aspects of vision and how corrective lenses improve sight
USEFUL FOR

Optometry students, vision care professionals, and anyone interested in understanding the principles of corrective lenses and their application in vision correction.

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Homework Statement


Without her contact lenses, Kat cannot clearly see an object more than 70.0cm away. What should be the focal length of her corrective contact lenses?

Homework Equations


1/f = 1/p + 1/q

The Attempt at a Solution


1/f = 1/infinity + 1/-70.0cm = -0.0143cm
f = -70.0 cm

Would anyone be able to please check this answer? Thank you!
 
Last edited:
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Your answer is correct.
 

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