Find the object location with ray optics

Click For Summary
SUMMARY

The discussion centers on determining the image location and orientation for a 1.0-cm-tall object placed 4.0 cm from a diverging lens with a focal length of 6.0 cm. Using the thin lens formula, the image distance (si) is calculated to be -2.40 cm, indicating a virtual image. The user also attempted ray tracing but encountered discrepancies in measurement, specifically measuring 0.4 cm instead of the calculated value. The solution emphasizes the importance of accurately drawing rays, particularly the horizontal ray that refracts through the focal point.

PREREQUISITES
  • Understanding of thin lens formula: -1/f = 1/so + 1/si
  • Knowledge of ray optics and ray tracing techniques
  • Familiarity with the concept of virtual images in optics
  • Basic skills in measurement and diagram drawing
NEXT STEPS
  • Study the principles of ray optics and their applications in lens systems
  • Practice ray tracing with various lens types, focusing on diverging lenses
  • Explore the implications of virtual images in optical systems
  • Learn about the significance of focal points in lens behavior
USEFUL FOR

Students studying optics, physics educators, and anyone seeking to understand the behavior of light through lenses, particularly in the context of diverging lenses and image formation.

Workout
Messages
38
Reaction score
0

Homework Statement



A 1.0-cm-tall object is placed 4.0cm from a diverging lens of focal length 6.0cm. Using both ray tracing and the thin lens formula, find the location and orientation of the image.

Homework Equations


-1/f = 1/so + 1/si
m = -si/so = hi/ho


The Attempt at a Solution


-1/6cm = 1/4cm + 1/si
si = -2.40 cm

Okay so attached my ray tracing diagram.. (sorry for the crappy camera quality), but the point where the Si crosses the ho is supposed to be where the object distance is.. and i measured with my ruler that it is 0.4cm, not 2.4cm. What am I doing wrong in the drawing?
 

Attachments

  • 2012-11-26 21.37.35.jpg
    2012-11-26 21.37.35.jpg
    13.8 KB · Views: 563
Physics news on Phys.org
You haven't correctly drawn the ray that travels horizontally toward the lens. Hint: for this ray you'll need to use one of the focal points.
 
Rays traveling parallel to the principal axis are refracted through the focal point of the lens.
 

Similar threads

Analyzing this 2-lens optical system
  • · Replies 5 ·
Replies
5
Views
2K
Are Real Images Always Inverted and Virtual Always Erect in Ray Optics?
  • · Replies 9 ·
Replies
9
Views
8K
Find the location and length of the final image
  • · Replies 2 ·
Replies
2
Views
1K
Inserting thick lenses into a thin lens system and deducing values
  • · Replies 1 ·
Replies
1
Views
2K
Multiple Lens System(Objectless and Parallel Rays)
  • · Replies 2 ·
Replies
2
Views
2K
How does the sign convention work in ray optics?
  • · Replies 6 ·
Replies
6
Views
4K
Optics Problem with a Double Lens System
  • · Replies 1 ·
Replies
1
Views
2K
Find pupil locations w/ paraxial ray tracing (thick lens, Geary CH 5)
  • · Replies 7 ·
Replies
7
Views
2K
Geometric optics: Thin lense equation
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Paraxial ray tracing: fixing image/height w/o knowing stop location
  • · Replies 3 ·
Replies
3
Views
3K