Images from Two Parallel Mirrors problem

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SUMMARY

The problem involves determining the x-coordinates of the four images generated by a point light source located at x = +2.70 m, reflected between two parallel mirrors positioned at x = +11.00 m and x = -11.00 m. The first two images, I1 and I2, are located at x = +5.40 m and x = -5.40 m, respectively. The subsequent images, I12 and I21, are found at x = +15.60 m and x = -15.60 m. These coordinates are derived from the distances of the original point source from each mirror and their subsequent reflections.

PREREQUISITES
  • Understanding of geometric optics and light reflection principles.
  • Familiarity with coordinate systems in physics.
  • Basic knowledge of mirror equations and image formation.
  • Ability to visualize and sketch reflections in a two-dimensional plane.
NEXT STEPS
  • Study the principles of light reflection and refraction in optics.
  • Learn about the mirror formula and its applications in image formation.
  • Explore advanced topics in geometric optics, such as multiple reflections and ray diagrams.
  • Practice solving problems involving multiple mirrors and light sources.
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Homework Statement

Two parallel mirrors that face each other are placed along and perpendicular to the x-axis at x = +11.00 m and x = -11.00 m. Assume that a point source of light is placed on the axis at x = +2.70 m. In principle, there will be an infinite number of images generated. Consider the locations of the four images of the point source with the smallest absolute values of image distance i. Going from left to right (i.e from negative to positive), what is the x-coordinate of the left most image?

2. What is the x-coordinate of the next image?

3. What is the x-coordinate of the next image?

4. What is the x-coordinate of the right most image?


I really do not know where to start, so any help appreciated
 
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Draw a sketch... first draw the reflections of the point source in the two mirrors... what are the coordinates of these two images. I'll call the I1 (reflection in mirror 1) and I2 (reflection in mirror 2). Now I1 and I2 also have reflections... I1 has a reflection in mirror 2... call it I12. you can get the coordinates of this image because you have the coordinates of I1, and therefore you know its distance from mirror 2... so I12 is located on the other side of mirror 2 at the same distance.

And I2 has a reflection in mirror 1... call it I21. You can get I21's coordinates in a similar manner as you got I12's coordinates.

that's 4 images... I1, I2, I12 and I21.
 

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