Magnification for Curved Mirrors

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SUMMARY

The discussion centers on the magnification of curved mirrors, specifically the formula for calculating magnification, which is defined as M = -di/d0. Participants clarify that the absolute value of magnification indicates image size, with |M| < 1 representing a smaller image and |M| > 1 indicating a larger image. The sign of M determines the nature of the image—whether it is real and inverted or virtual and upright—rather than its size. This distinction is crucial for understanding image formation in optics.

PREREQUISITES
  • Understanding of curved mirror optics
  • Familiarity with the magnification formula M = -di/d0
  • Knowledge of real vs. virtual images
  • Basic principles of image distance (di) and object distance (d0)
NEXT STEPS
  • Study the principles of curved mirror optics in detail
  • Explore the derivation and applications of the magnification formula M = -di/d0
  • Investigate the characteristics of real and virtual images in optical systems
  • Learn about the impact of object placement on image size and type
USEFUL FOR

Students and educators in physics, optical engineers, and anyone interested in the principles of optics and image formation through curved mirrors.

NP04
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Homework Statement
What determines the size of the image produced by a curved mirror (in terms of magnification)?
Relevant Equations
M = -d0/di
+ = upright image = virtual
- = inverted image = real
Magnification

|M|<1 = smaller
|M|>1 = larger

This is my reasoning because the magnification is -d0/di so it is the ratio that matters. Because wouldn't the sign just affect the type of image?? If you consider the sign in image size, you are saying that only one type of image (real/virtual) can be smaller and only one type can be larger.

Please help.
 
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Is your magnification equation correct? I've looked in two different places and they both show it as -di/d0.
So if your image is closer to the lens/mirror than the object is, you have a linear magnification whose absolute value is less than one. Otherwise it is greater than one.

NP04 said:
Because wouldn't the sign just affect the type of image??

Yes, the sign just indicates whether you have an inverted (real) image or upright (virtual) image. It itself doesn't tell you anything about the size of the image.
 

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