Refraction and Mirrors, image position

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SUMMARY

The discussion focuses on the optical principles involved in determining the image position formed by a concave mirror and a convex mirror. A concave mirror with a radius of curvature (R) of 54 cm faces a convex mirror of the same radius, with a candle placed 10 cm from the convex mirror. The focal length (f) is calculated as +/- 27 cm, and the image formed by the concave mirror serves as the object for the convex mirror. The solution involves applying the mirror equation (1/s + 1/s' = 1/f) sequentially for both mirrors to find the final image position.

PREREQUISITES
  • Understanding of concave and convex mirror properties
  • Familiarity with the mirror equation (1/s + 1/s' = 1/f)
  • Knowledge of focal length calculation (f = +/- 0.5R)
  • Ability to visualize ray diagrams for mirrors
NEXT STEPS
  • Study ray diagrams for concave and convex mirrors
  • Learn about the implications of object distance on image formation
  • Explore the concept of virtual and real images in mirror systems
  • Investigate the effects of multiple mirrors on image positioning
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the behavior of light with mirrors in optical systems.

emg333
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Homework Statement


A concave mirror (R=54cm) faces a convex mirror of the same radius. The distance between the mirrors is 54cm, and their axes coincide. A candle is held between the mirrors, 10 cm from the convex mirror.
Consider light rays reflect off the concave mirror and then the convex.
Where do these rays form an image, in relation to the convex mirror?


Homework Equations


f= +/- .5R
1/s + 1/s' = 1/f


The Attempt at a Solution


i am not sure where to begin
 
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Have you drawn the situation yet?

The principle to keep in mind is that the image of the first mirror becomes the object of the second mirror. Solve the problem as a single concave mirror first, locate the image on your drawing, refigure the object distance to the second mirror, solve again.
 

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