Physics Lens Problem: Find Object Distance

Click For Summary
SUMMARY

The Physics Lens Problem involves calculating the object distance given a lens with a 55-cm focal length and a real image located 2.4 m away. The equation used is 1/s + 1/s' = 1/f, where s is the object distance and s' is the image distance. The correct values for the object distance, calculated using the quadratic formula, are approximately 3.07 m and 0.43 m. The solution was confirmed by correctly applying the relationship s - (-s') = 2.4 m.

PREREQUISITES
  • Understanding of lens equations in optics
  • Familiarity with the quadratic formula
  • Knowledge of focal length concepts
  • Basic principles of real images in lens systems
NEXT STEPS
  • Study the derivation of the lens formula 1/s + 1/s' = 1/f
  • Explore the implications of focal length on image formation
  • Learn about different types of lenses and their properties
  • Practice solving lens problems using various object and image distances
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding lens behavior and image formation in optical systems.

meermeeronthewall
Messages
1
Reaction score
0

Homework Statement


An object and its lens-produced real image are 2.4 m apart.

Part A
If the lens has 55-cm focal length, what are the possible values for the object distance?
Express your answer using two significant figures.

Homework Equations


1/s+1/s'=1/f
s-s'=2.4m

The Attempt at a Solution


1/s+1/(s-2.4)=1/.55
2s-2.4/s^2-2.4s=1/.55
s^2-3.5s+1.32=0
I then used the quadratic formula and found:
s=3.07 and s=.4299

I tried this answer, but it is wrong. I also tried substituting s'=2.4+s. But the answers I got for that were wrong as well.

Nevermind, I solved it. I had to use s-(-s')=2.4.
 
Last edited:
Physics news on Phys.org
Hello m2, :welcome: nevertheless.

Maybe it helped that you had to order your thoughts to come up with a good first post in PF :wink:
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K