How Do Rearview Mirrors Affect Image Size?

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SUMMARY

The discussion centers on the optical properties of rearview mirrors, specifically addressing the misconception that they are concave. Participants clarify that rearview mirrors are convex, which results in smaller images of objects behind the vehicle. The correct approach to determine the focal length involves using the magnification equation and the thin lens equation. The focal length calculated from the given distance and magnification is approximately 3.3 meters.

PREREQUISITES
  • Understanding of convex mirrors and their properties
  • Familiarity with the magnification equation
  • Knowledge of the thin lens equation
  • Basic principles of optics and image formation
NEXT STEPS
  • Study the properties of convex mirrors in optical systems
  • Learn how to apply the magnification equation in practical scenarios
  • Explore the thin lens equation and its applications in various optical devices
  • Investigate the effects of curvature on image size and distance in mirrors
USEFUL FOR

Students of physics, automotive engineers, and anyone interested in the principles of optics and image formation in mirrors.

jena
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Hi,

Question

Some rearvier mirrors produce images of cars behind you that are smaller than they would be if the mirror were flat. Are the mirrors concave or convex? What is the mirror's radius of curvature if cars 20.0 m away appear 0.33x their normal size.

My Answers

The mirrors are concave.

f=r/2

f=(20*.33)/2
f=3.3 m

Is this correct?

Thank you:smile:
 
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the mirrors are NOT concave. What's your next guess?:-p

ANd no, your math is not correct.
Use the magnification equation to find the image distance.
Use the "thin lens" equation (it's the same for mirrors) to find the focal length.
then proceed.
 

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