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Image Formation in Physics

Every image in this topic is found the same way, by tracing a few well-chosen rays and then checking the answer against one equation. A mirror and a thin lens obey exactly the same relation between object distance, image distance and focal length, which is why the two topics read almost identically. What changes is the sign, since a curved mirror can turn a parallel beam back on itself while a refracting surface bends it onward through glass. Get the conventions for those signs right and the rest is arithmetic. The blocks give the mirror and lens equations with their magnifications, the maker's equation that turns the shape of a lens into its focal length, refraction at a single curved surface, and the instruments the course asks for, the camera, the eye, the magnifier, the microscope and the telescope.

Images Formed by Flat Mirrors
Mirror equation for a spherical mirror

Given

  • (m)
  • (m)
  • (m)
Magnification by a spherical mirror

Given

  • (m)
  • (m)
  • (m)
Focal length of a spherical mirror

Given

  • (m)
Refraction at a spherical surface

Given

  • (m)
  • (m)
  • (m)
Image formed by a flat refracting surface

Given

  • (m)
Magnification by a refracting surface

Given

  • (m)
Thin lens equation

Given

  • (m)
  • (m)
  • (m)
Magnification by a thin lens

Given

  • (m)
  • (m)
  • (m)
Lens maker's equation

Given

  • (m)
Power of a lens

Given

  • (m)
F-number of a camera lens

Given

  • (m)
  • (m)
Angular magnification of a simple magnifier

Given

  • (cm)
Overall magnification of a compound microscope

Given

  • (cm)
  • (cm)
  • (cm)
Magnification of an astronomical telescope

Given

  • (m)
  • (m)
The Camera
The Eye
Lens Aberrations