Find the distance from the mirrors for 4 reflections

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SUMMARY

The discussion centers on calculating the distances of light reflections between two parallel mirrors positioned 20 cm apart, with a light source located 5 cm from one mirror. The key equation used is that the distance from the object to the mirror equals the distance from the reflection to the mirror (a1=a2). The consensus is that for the first four reflections, the distances from the mirrors are 10 cm for the first reflections, confirming that the initial assumption of 5 cm was incorrect.

PREREQUISITES
  • Understanding of basic optics principles, specifically reflection.
  • Familiarity with the concept of parallel mirrors.
  • Knowledge of distance measurement in physics.
  • Ability to interpret and analyze geometric diagrams.
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  • Study the principles of light reflection in parallel mirror systems.
  • Learn about geometric optics and the laws governing reflection.
  • Explore practical applications of multiple reflections in optical devices.
  • Investigate the mathematical modeling of light paths in reflective environments.
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Students studying physics, particularly those focusing on optics, as well as educators seeking to explain the concepts of reflection and light behavior in parallel mirror setups.

annalian
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Homework Statement


Two plain mirrors are put parallelly and 20 cm from each other. A source of light is put between the mirrors, 5 cm away from one. Find the distance from the mirrors of 4 first reflections.

Homework Equations


a1=a2 The distance of the object from the mirror and the reflection from the mirror is equal.

The Attempt at a Solution


http://s32.postimg.org/507dau85h/image.png
is it right?
 
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I know what a "first reflection" is but I'm not sure how you can have four of them in this situation. I think two are first reflections and two are second reflections. Check the distance for the one I marked incorrect.

image.png
 
CWatters said:
I know what a "first reflection" is but I'm not sure how you can have four of them in this situation. I think two are first reflections and two are second reflections. Check the distance for the one I marked incorrect.

View attachment 100962
5 should be replaced with 10. Am I right?
 
Yes.
 
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