Confused about image size in plane, concave, or convex mirrors

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SUMMARY

The discussion centers on the image size produced by concave, convex, and plane mirrors using the mirror formula and magnification equations. The equations discussed are 1/f = 1/p + 1/i for focal length and m = -i/p for magnification. It is established that when the object distance (p) is much larger than the radius of curvature, the magnification (|m|) for both concave and convex mirrors is less than 1, indicating that the images will appear similar in size. In contrast, a plane mirror produces an image with a magnification of 1, meaning the image size is equal to the object size.

PREREQUISITES
  • Understanding of mirror equations: 1/f = 1/p + 1/i
  • Knowledge of magnification formula: m = -i/p
  • Familiarity with concave and convex mirror properties
  • Basic concepts of focal length and object distance
NEXT STEPS
  • Study the properties of concave and convex mirrors in detail
  • Learn about the applications of the mirror formula in optical systems
  • Explore the differences in image formation between various types of mirrors
  • Investigate practical experiments to visualize image sizes using different mirrors
USEFUL FOR

Students of physics, educators teaching optics, and anyone interested in understanding the principles of image formation in mirrors.

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So I know these equations

1/f = 1/p + 1/i
m = -i/p

f: focal length
p: object distance from mirror
i: image distance from mirror
m: magnification

Let's say that I have an object in front of a concave or convex mirror with the same |f|. p is much larger than the radius of curvature. Based on the equations above, |m|<1. Also, |m| should be nearly same for both mirrors. Does this mean that the images produced by the two mirrors would appear to be about the same size?

Also, if I replace the concave or convex mirror with a plane mirror (while keeping p the same), |m| would be 1 for the image. Does this mean that the image produced by the plane mirror would appear to be larger than the image produced by the concave/convex mirrors?

(I tried to check this using a spoon, but the spoons I have are not very reflective...)
 
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