Optics, calculating image distance,.given magnification and focal length

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SUMMARY

The discussion focuses on calculating object and image distances using a converging lens with a focal length of 20 cm and a magnification of 3. The lens equation, 1/object + 1/image = 1/focal, is established as the primary formula for this calculation. The magnification formula, M = object/image, is also utilized but initially misapplied. The correct interpretation of the image's nature (real or virtual) is crucial for solving the problem accurately.

PREREQUISITES
  • Understanding of lens equations, specifically 1/object + 1/image = 1/focal
  • Knowledge of magnification formulas, particularly M = object/image
  • Familiarity with the concepts of real and virtual images in optics
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review the lens equation and practice solving for object and image distances
  • Study the differences between real and virtual images in optics
  • Explore the implications of magnification in optical systems
  • Practice additional problems involving converging lenses and their properties
USEFUL FOR

Students studying optics, physics educators, and anyone seeking to understand the principles of lens calculations and image formation.

faria123
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Homework Statement


The image obtained with a converging lens is upright and 3x the length of the object. The focal length of the lens is 20cm. Calculate the object and image distances


Homework Equations



I have absolutely no idea how to even start this question

The Attempt at a Solution


1/object + 1/image = 1/focal (lens equation )
1/ob + 1/im= 1/20

M = ob/im ( magnification formula)
3= ob/im

I tried solving for each variable but it wasnt working...
 
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faria123 said:

Homework Statement


The image obtained with a converging lens is upright and 3x the length of the object. The focal length of the lens is 20cm. Calculate the object and image distances


Homework Equations



I have absolutely no idea how to even start this question

The Attempt at a Solution


1/object + 1/image = 1/focal (lens equation )
1/ob + 1/im= 1/20

M = ob/im ( magnification formula)
3= ob/im

I tried solving for each variable but it wasnt working...

Hi Faria, welcome to PF.

The magnification formula is wrong, look it after. And then show your work in detail.

Is the image real or virtual if the image is upright?

ehild
 

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