Possible positions of object in magnified concave mirror?

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SUMMARY

The discussion focuses on calculating the possible positions of an object in a concave mirror that magnifies the object by a factor of 5, with a focal length of 20 cm. The relevant mirror equations used include the magnification formula M = Hi/Ho = Di/Do and the mirror equation 1/F = 1/V + 1/U. The calculations provided indicate that the object distance (U) is -20 cm and the image distance (V) is 10 cm, confirming the relationship between object and image distances in concave mirrors.

PREREQUISITES
  • Understanding of concave mirrors and their properties
  • Familiarity with the mirror equation 1/F = 1/V + 1/U
  • Knowledge of magnification formulas M = Hi/Ho = Di/Do
  • Basic algebra for solving equations
NEXT STEPS
  • Study the implications of object distance and image distance in concave mirrors
  • Learn about the effects of varying focal lengths on image formation
  • Explore real-world applications of concave mirrors in optics
  • Investigate the differences between concave and convex mirrors
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Students studying optics, physics educators, and anyone interested in understanding the principles of image formation in concave mirrors.

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Homework Statement


An object is magnified, by a factor; of 5, in a concave mirror. The mirror has a focal length of 20cm.
Calculate ALL possible positions of the object.


Homework Equations


M=Hi/Ho=Di/Do
M=V/U
1/F=1/V+1/U


The Attempt at a Solution


1/20=1/V + 1/U
-1U=20V/V
U=-20
V=10
 
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