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Light – Reflection and Refraction

Two rays are enough

You want to mark where a bulb's image forms. You do not need every ray.

Step 4 gives v and m. Here v is the image distance. And m is the image height divided by the object height.

An object stands 30 cm from a concave mirror, f = 10 cm.
Step 1 of 4
  1. An object stands 30 cm from a concave mirror, f = 10 cm.
  2. One ray leaves parallel to the axis. It reflects through F.
  3. A second ray leaves through C. It comes straight back.
  4. Where they cross is the image: v = −15 cm, m = −0.5.

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The rule

Draw any two standard rays. Where they cross, or seem to cross, is the image. A third ray only checks the drawing. A standard ray has a known path after the mirror. Draw them from the top of the object. They then cross at the top of the image.

The four standard rays at a concave mirror
Ray from the top of the objectAfter it hits the mirror
Parallel to the axisGoes through F
Through FGoes parallel to the axis
Through CReturns along its own path
Hits the poleLeaves at an equal angle on the other side of the axis

Worked example

In step 4, v is minus. The image is in front of the mirror. The minus on m means the image is inverted. The 0.5 means half the size.

A ray through C travels along the radius, which is the normal. So its angle of incidence is 0°. It reflects straight back.

In the picture, the parallel ray and the ray through C cross. They cross 15 cm in front of the mirror. The image is real, inverted and smaller.

Now put the object inside F. The reflected rays spread out and never cross in front. Extend them backwards and they meet behind the mirror. That is a virtual, upright image.

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This track

  1. 0 Start here
  2. 1 Bouncing by the rule
  3. 2 Mirrors that are not flat
  4. 3 What the mirror does to an image
  5. 4 Two rays are enough
  6. 5 The mirror formula
  7. 6 Bending by a rule too
  8. 7 The lens formula
  9. 8 How strong a lens is
  10. 9 Through a glass slab
  11. 10 Checkpoint: mirrors, lenses and slabs
  12. 11 The big picture
  13. 12 Track quiz

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