Spectacles, Focal length and Lens Formula

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SUMMARY

The discussion revolves around the lens formula, specifically 1/f = 1/u + 1/v, applied to short-sightedness and long-sightedness scenarios. For short-sighted individuals unable to focus on objects beyond 2.5 meters, the focal length (f) calculates to -2.5 meters. Conversely, for long-sighted individuals who cannot focus on objects closer than 2.5 meters, the focal length (f) is determined to be 2.5 meters. This demonstrates the application of the lens formula in determining focal lengths for different vision conditions.

PREREQUISITES
  • Understanding of the lens formula: 1/f = 1/u + 1/v
  • Basic knowledge of optics and vision correction
  • Familiarity with concepts of short-sightedness and long-sightedness
  • Ability to perform calculations involving focal lengths
NEXT STEPS
  • Study the implications of negative and positive focal lengths in optics
  • Learn about different types of lenses and their applications in vision correction
  • Explore the effects of varying object distances on lens behavior
  • Investigate advanced optical formulas and their applications in real-world scenarios
USEFUL FOR

This discussion is beneficial for students studying optics, optometrists, and anyone interested in understanding the principles of vision correction through lenses.

ZedCar
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Homework Statement



When using the lens formula: 1/f = 1/u + 1/v

for someone who has short sightedness and cannot focus on objects on objects more than 2.5m away, I get:

1/f = 1/infinity + 1/-2.5
f = -2.5 mIf using the formula for someone who had long sightedness and could not focus on objects closer than 2.5m does this mean the equation would be:

1/f = 1/infinity + 1/2.5
f = 2.5 m

Thanks! :smile:

Homework Equations



1/f = 1/u + 1/v

The Attempt at a Solution

 
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