Discover the Focal Length of a Convex Mirror Using Object and Image Distance

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SUMMARY

The discussion focuses on calculating the focal length of a convex mirror using the object distance and the image height. The object is 30 cm tall and placed 20 cm in front of the mirror, resulting in an image height of +10 cm. The formula used is 1/f = -(Image distance from V) / Object distance from V, where the image distance must be determined from the given image height. This approach allows for the calculation of the focal length accurately.

PREREQUISITES
  • Understanding of convex mirrors and their properties
  • Familiarity with the mirror formula: 1/f = 1/v + 1/u
  • Knowledge of image formation and magnification in optics
  • Basic algebra skills for solving equations
NEXT STEPS
  • Learn how to derive the image distance from the image height using magnification formulas
  • Study the characteristics of convex mirrors in optical physics
  • Explore practical applications of convex mirrors in real-world scenarios
  • Review the concepts of virtual images and their significance in optics
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the properties and calculations related to convex mirrors.

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Convex mirror. PLEASE HELP!

Homework Statement



An object 30 cm tall is placed 20 cm in front of a convex mirror. If the height of the image is +10 cm, find the focal length of the mirror.

Homework Equations





The Attempt at a Solution



I know to use 1/f = -(Image distance from V) / Object distance from V. But, now they tell me how tall they are. How to solve now?
 
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