Understanding Inverted Images: Calculating M and f Ratios

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SUMMARY

The discussion focuses on understanding inverted images in photography, specifically through the calculation of magnification (M) and focal length (f). The magnification ratio is defined as M = hi/ho = 0.00471, indicating the relationship between the height of the image on film and the actual height of the subject. The positive values of magnification and focal length suggest that the image is real and inverted, as confirmed by the professor's guidance. The calculations also clarify that the negative sign in the equation M = hi/ho = -di/do can be confusing but is essential for determining the image's orientation and the type of optical system used.

PREREQUISITES
  • Understanding of optical principles, specifically converging and diverging lenses.
  • Familiarity with magnification calculations in photography.
  • Knowledge of real vs. imaginary images in optics.
  • Basic grasp of image orientation concepts (upright vs. inverted).
NEXT STEPS
  • Study the principles of lens optics, focusing on converging and diverging lenses.
  • Learn about the mathematical relationships in optics, including the lens formula and magnification equations.
  • Explore real and virtual images in depth, including their characteristics and implications in photography.
  • Investigate practical applications of image orientation in various photographic techniques.
USEFUL FOR

Photographers, optical engineers, and students studying optics who seek to deepen their understanding of image formation and manipulation in photography.

Shackleford
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How do I know the image is inverted?

Reporter photographs an actress. The ratio of the actual height of the actress to the height of the image on the film is

M = hi/ho = .00471

f = .220
 
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Magnification and focal length can both have signs (+ or -). The fact that these are + should tell you things about where the object/image are located (on the same or different sides of the optic) and what type of optic is used (converging or diverging). There's also information available just by being able to say there's an image on film... is such an image real or imaginary? Image orientation (upright or inverted) relates to this.
 
physics girl phd said:
Magnification and focal length can both have signs (+ or -). The fact that these are + should tell you things about where the object/image are located (on the same or different sides of the optic) and what type of optic is used (converging or diverging). There's also information available just by being able to say there's an image on film... is such an image real or imaginary? Image orientation (upright or inverted) relates to this.

M = hi/ho = -di/do

The negative threw me off when doing the calculations.

An image on film is real. This also means that the di is positive. Also, the problem didn't specify whether the image was inverted or not. The professor said I was supposed to know that the image was inverted since it was on the film. How do I know this?
 

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