Calculate the focal length of the spectacle lens

Click For Summary

Homework Help Overview

The problem involves calculating the focal length of a spectacle lens needed to correct hyperopia for a person with a near point of 1.10 m, compared to the normal near point of 25.0 cm.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the lens formula and question the positioning of the image relative to the lens. There is an exploration of whether the image should be on the same side as the object and how this affects the calculation of q.

Discussion Status

Participants are actively engaging with the problem, raising questions about the correct interpretation of the lens formula and the signs associated with image distance. Some guidance is suggested regarding the drawing of a diagram to visualize the setup.

Contextual Notes

There is a noted discrepancy between the original poster's calculated focal length and the provided answer, prompting further investigation into the assumptions made regarding image placement.

gungo
Messages
27
Reaction score
1

Homework Statement


A hyperopic eye has a near point of 1.10 m. Calculate the focal length of the spectacle lens required to correct the hyperopia (assume that the near point of the normal eye is 25.0 cm.)

Homework Equations


1/f=1/p+1/q

The Attempt at a Solution


I just used .25 m as p and 1.1 m as q and inverted it to solve for f, which gave me 0.20 m, but the answer given is 0.324 m.
 
Physics news on Phys.org
In order for the person to be able to clearly see an object placed 25 cm away, where should the image of the object formed by the lens be located? Should the image be on the same side of the lens as the object?
 
TSny said:
In order for the person to be able to clearly see an object placed 25 cm away, where should the image of the object formed by the lens be located? Should the image be on the same side of the lens as the object?
It should be on the opposite side, so q is negative,right? That would give the right answer.
 
gungo said:
It should be on the opposite side, so q is negative,right? That would give the right answer.
q is negative when the image is on the same side as the object.

Try to draw a diagram showing the location of the person’s head, the lens, the object, and the image. You don’t have to post the diagram, but drawing it might help.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
1
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
4
Views
3K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K