Focusing on Object K: Magnification & Adjustment of Focal Length

Click For Summary
SUMMARY

The discussion centers on calculating the necessary change in focal length to focus on an object K located 1.69 m from the lens of a human eye, which has a far focal length of 40.1 mm. The correct focal length adjustment is determined to be approximately 41.0746 mm, leading to a change of 0.9746 mm. The magnification formula used is M = -f2/f1, where f2 is the adjusted focal length and f1 is the original focal length. The initial calculation error was identified and corrected during the discussion.

PREREQUISITES
  • Understanding of lens equations, specifically 1/di + 1/do = 1/f
  • Knowledge of magnification calculations using M = -f2/f1
  • Familiarity with the concept of focal length in optics
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the principles of lens optics and focal length adjustments
  • Learn about the human eye's optical system and its focal properties
  • Explore advanced magnification techniques in optical systems
  • Practice solving lens equations with various object distances
USEFUL FOR

Students studying optics, physics enthusiasts, and anyone interested in understanding the mechanics of vision and lens adjustments.

haxxorboi
Messages
24
Reaction score
0

Homework Statement


Suppose the lens in a human eye has far focal length equal to f0 = 40.1 mm, for distant objects to be in focus.
A. An object K is 1.69 m from the lens. How much should the focal length change to focus on the object K?

B.What is the magnification ( = image size divided by object size) for the object K?


Homework Equations


1/di+1/do=1/f


The Attempt at a Solution


A. 1/1690+1/x=1/40.1
x=41.0746 mm
Thus, delta f = .9746 mm but that's wrong for some reason... but it's been a long week...

B. -f2/f1=M

Can someone help me out here?
 
Physics news on Phys.org
haxxorboi said:
1/1690+1/x=1/40.1

it's been a long week...

Hi haxxorboi! :smile:

Shouldn't the 1/x be on the other side? :redface:
 
*sigh* Yep, that'd be the issue... need either more sleep or more caffeine I guess...

Problem solved.

Thank you very much... I'm going to go take a nap...
 

Similar threads

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