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

In summary: For an object at 25 cm in front of the lens with a power of 1.14, the accompanying object distance will be 14 cm.
  • #1
prat
14
0
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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  • #2
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?
 
  • #3
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?
 

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

1. What is the near point of the eye?

The near point of the eye is the closest distance at which an object can be seen clearly without strain. This distance varies from person to person, but on average it is around 10-25 centimeters.

2. What is the far point of the eye?

The far point of the eye is the farthest distance at which an object can be seen clearly without strain. For a person with normal vision, this distance is infinity.

3. What is the power of a lens?

The power of a lens is a measure of its ability to bend light. It is measured in diopters (D) and is represented by the reciprocal of the focal length of the lens in meters. A lens with a higher power (higher diopter value) is able to bend light more and is thus able to correct for stronger refractive errors in the eye.

4. How is the power of a lens related to the near and far point of the eye?

The power of a lens is directly related to the near and far point of the eye. As the power of a lens increases, the near point of the eye moves closer to the eye, and the far point moves farther away. This is because a stronger lens is able to bend light more, allowing it to focus on objects closer or farther away.

5. What is the maximum distance at which a person with normal vision can see an object clearly?

The maximum distance at which a person with normal vision can see an object clearly is infinity. This is because the far point of the eye for a person with normal vision is at infinity, and thus they are able to see objects at any distance without strain.

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