Determining the Minimum Length of a Plane Mirror to View a 5m Drawing

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SUMMARY

The minimum length of a plane mirror required for a person to view a 5m drawing is 2.5m. This conclusion is based on the principle that a plane mirror reflects an image that appears at the same distance behind the mirror as the object is in front of it. Therefore, to see the entire height of the 5m drawing, the mirror must be at least half the height of the drawing, which is 2.5m. This ensures that the viewer can see the full image without any obstruction.

PREREQUISITES
  • Understanding of basic optics principles, specifically reflection.
  • Knowledge of plane mirrors and their properties.
  • Familiarity with geometric relationships in reflection scenarios.
  • Basic mathematical skills to calculate distances and lengths.
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  • Explore the laws of reflection in optics.
  • Research the properties of plane mirrors in detail.
  • Learn about the applications of mirrors in various optical devices.
  • Investigate how distance affects the visibility of reflected images.
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Students studying physics, educators teaching optics, and anyone interested in the practical applications of reflection and mirrors in real-world scenarios.

charlie 42
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a man is standing with his back facing a large drawing of 5m long, and his front facing a plane mirror.the mirror is placed at eye level, to enable him to see the image of the drawing.what is the minimum length of the plane mirror if he were to see the whole image of the drawing?

1)2m

2)2.5m

3)3m

4)4m
 
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Show what you've figured out so far. (Hint: A 5m tall object a distance x in front of a plane mirror will appear in the mirror as a 5m tall object a distance x behind the mirror.)
 

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