How Do You Calculate Image Size and Location with a Diverging Lens?

  • Thread starter Thread starter Robin_oto
  • Start date Start date
  • Tags Tags
    Lens
Click For Summary
SUMMARY

The calculation of image size and location for a diverging lens involves using the lens formula and magnification equations. For an object 3 cm tall placed 16 cm in front of a diverging lens with a focal length of -24 cm, the image distance (di) is calculated as -48 cm, indicating the image is virtual and located on the same side as the object. The image height (hi) is determined to be -9 cm, confirming that the image is smaller than the object and inverted. This aligns with the properties of diverging lenses, which always produce virtual, upright, and reduced images.

PREREQUISITES
  • Understanding of the lens formula: 1/f = 1/di + 1/do
  • Knowledge of magnification formula: hi/ho = di/do
  • Familiarity with the characteristics of diverging lenses
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the properties of diverging lenses in optics
  • Learn about real vs. virtual images in lens systems
  • Explore the impact of varying object distances on image formation
  • Practice solving lens problems with different focal lengths and object heights
USEFUL FOR

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

Robin_oto
Messages
1
Reaction score
0
okay the problem reads
-an object 3 cm tall is placed 16 cm in front of a diverging lens with a focal length of 24cm. Find the location and size of the image. What kind of image is it?



1/f = 1/di+1/do

hi/ho = di/do


I'm not to sure how to solve this i used the equation; 1/f = 1/di+1/do and solved for di, getting -48cm. then pluged it into the equation hi/ho = di/do, and got -9cm. It doesn't seem right to me because when i draw out the problem it shows the image as smaller then the actual size, not bigger. please help!
 
Physics news on Phys.org
The focal length of a diverging lens should be taken negative: f=-24 cm

ehild
 

Similar threads

Find the location and length of the final image
  • · Replies 2 ·
Replies
2
Views
1K
Focal length of the eyepiece lens in a compound microscope
  • · Replies 7 ·
Replies
7
Views
2K
Optics Problem with a Double Lens System
  • · Replies 1 ·
Replies
1
Views
2K
Analyzing this 2-lens optical system
  • · Replies 5 ·
Replies
5
Views
2K
Compound Microscope: Calculating Image Location with Two Lenses
  • · Replies 4 ·
Replies
4
Views
2K
Converging lens solve for all variables given f, Hi, and Ho
  • · Replies 3 ·
Replies
3
Views
2K
What is the power of the lens in diopters?
  • · Replies 3 ·
Replies
3
Views
4K
Finding Image Distance with a Converging Lens: Magnifying Glass Problem
  • · Replies 12 ·
Replies
12
Views
9K
How Do You Calculate the Final Image Position in a Three-Lens System?
  • · Replies 8 ·
Replies
8
Views
6K
Microscope converging lens problem
  • · Replies 3 ·
Replies
3
Views
3K