🔖 Topics

  • Systems of two ideal lenses

🎯 Objectives

  • Calculate the properties of images formed by a system of two or more lenses

📋 Sequence

  • Review of sign conventions for images
  • Two converging lenses
  • Two diverging lenses
  • One converging and one diverging lens

🖥️ Animations, Simulations, Activities

N/A

📝 Practice Problems

  1. An object is placed 12 cm in front of a lens with a focal length of 5.0 cm. Another lens of focal length 4.0 cm is placed 2.0 cm past the first lens.
    • Where is the final image located?
    • Is it real or virtual?
    • What is its overall magnification?
  2. An object is located 16 cm in front of a converging lens with a focal length of 12 cm. To the right of the converging lens, separated by a distance of 20 cm, is a diverging lens of focal length -10 cm. Find the location of the final image.

✅ Partial Solutions

  1. 2.5 cm past the 4.0 cm lens, Real, -0.27
  2. 15.6 cm to the left of the diverging lens

📘 Connected Resources

  • Giambattista, Alan, et al. College Physics With an Integrated Approach to Forces and Kinematics. 5th ed., McGraw-Hill Education, 2020.
  • Tipler, Paul A., and Gene Mosca. Physics for Scientists and Engineers: With Modern Physics. 6th ed., W. H. Freeman, 2008.