Solving a Physics Magnification Problem with a 6cm Focal Length Magnifier

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SUMMARY

The discussion focuses on solving a physics problem involving a magnifier with a focal length of 6 cm to determine the necessary distance to hold the magnifier for an image height of 1 cm from a 1 mm tall object. Participants utilized the magnification formula m = -di/do and attempted to apply the ratio hi/ho = di/do. The challenge arose due to the absence of a specific value for do, which is essential for calculating di. The solution requires manipulating the lens formula to express di in terms of do, ho, and hi.

PREREQUISITES
  • Understanding of lens formulas, specifically the magnification formula.
  • Familiarity with the concepts of object distance (do) and image distance (di).
  • Knowledge of basic optics, including focal length and image formation.
  • Ability to manipulate algebraic equations to solve for unknown variables.
NEXT STEPS
  • Study the lens formula relating focal length, object distance, and image distance.
  • Learn how to derive magnification equations from basic optics principles.
  • Practice solving problems involving different focal lengths and object sizes.
  • Explore real-world applications of magnifiers in optical devices.
USEFUL FOR

Students studying physics, educators teaching optics, and anyone interested in understanding the principles of magnification and image formation using lenses.

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1. The fine print in a contract that you want to read is 1 mm tall. You have a magnifier with a focal length of 6 cm. Where must you hold the magnifier so that the image appears to be 1 cm tall. Where is the image located



2. m= -di/do



3. using the equation given above i tried to use the equation hi/ho= di/do but no value for dO is given which means i can't use the equation


help would be appericiated
 
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Using this equation hi/ho= di/do find di in terms of do. ho and hi. Use the formula which related the f, do and di to get the required answer.
 

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