Near & Far Point of Eye: Power of Lens & Max Distance

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SUMMARY

The discussion focuses on calculating the power of a convex lens required for a person to see objects at a distance of 25 cm, given their near point at 35 cm and far point at 300 cm. The power of the lens is determined to be 1.14 diopters, derived from the formula p = 1/f, where f is the focal length calculated as 0.875 m. Additionally, the maximum distance the person can see with this lens is established to be 300 cm, which corresponds to the far point of the eye.

PREREQUISITES
  • Understanding of lens formulas, specifically f = xd/(x - d)
  • Knowledge of optical power calculations, p = 1/f
  • Familiarity with the concepts of near point and far point of vision
  • Basic principles of virtual images in optics
NEXT STEPS
  • Study the derivation of lens formulas in optics
  • Learn about the characteristics of virtual images formed by convex lenses
  • Explore the relationship between object distance, image distance, and focal length
  • Investigate the effects of different lens powers on vision correction
USEFUL FOR

Optometry students, physics enthusiasts, and anyone interested in understanding the optical principles related to vision and lens power calculations.

prat
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the near point and far point of an eye are 35cm and 300cm respectively.what is power of lens so that the person can see objects at 25cm .with this lens what is the maximum distance he can see.

f=xd/x-d p=1/f in m

i could only solve the first part of the problem.p=1.14d f=35*25/35-25=87.5cm=0.875m=1/f=1/0.875=1.14d

Homework Statement


Homework Equations


The Attempt at a Solution

 
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prat said:
the near point and far point of an eye are 35cm and 300cm respectively.what is power of convex lens for seeing 25cm .with this lens what is the maximum distance he can see.

f=xd/x-d p=1/f in m

i could only solve the first part of the problem.p=1.14d

Welcome to the PF!

Your post is a bit confusing. Could you please post the full text of the question, and show your work on the initial solution?
 
prat said:
the near point and far point of an eye are 35cm and 300cm respectively.what is power of lens so that the person can see objects at 25cm .with this lens what is the maximum distance he can see.

f=xd/x-d p=1/f in m

i could only solve the first part of the problem.p=1.14d f=35*25/35-25=87.5cm=0.875m=1/f=1/0.875=1.14d


The convex lens need to form a virtual image of the object in front of the eye within the range 35 -> 300 cm in order for the eye to see it. Your calculation gives a virtual image forming at 35 cm for an object at 25 cm in front of it.

The furthest distance this virtual image can be from the eye, with the lens, is 300 cm. This is the furthest (negative, since it needs to be virtual) image distance that the eye will be able to focus on. What will the accompanied object distance then be for this particular image distance?
 

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