Distance between the object and the lens

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SUMMARY

A diverging lens with a focal length of 6 mm produces an image with a magnification of m = 1/2. To find the distance between the object and the lens (do), two key equations are utilized: the magnification equation m = -di/do and the lens formula 1/do + 1/di = 1/f. By substituting the known values into these equations, one can solve for the object distance (do) effectively. The discussion emphasizes the importance of using both equations to find the relationship between the object distance and the image distance.

PREREQUISITES
  • Understanding of lens formulas, specifically 1/do + 1/di = 1/f
  • Knowledge of magnification concepts, particularly m = -di/do
  • Basic algebra skills for solving equations
  • Familiarity with optical physics principles related to lenses
NEXT STEPS
  • Study the derivation and applications of the lens formula in optics
  • Explore the concept of magnification in more complex optical systems
  • Learn about the characteristics of different types of lenses, including converging and diverging lenses
  • Investigate real-world applications of lenses in devices such as cameras and microscopes
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the principles of lens behavior and image formation.

Libra_girl
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Homework Statement



A diverging lens of 6 mm focal length produces an image of magnification m = 1/2. What
is the distance between the object and the lens?
 
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Welcome to PF!

Libra_girl said:

Homework Statement



A diverging lens of 6 mm focal length produces an image of magnification m = 1/2. What
is the distance between the object and the lens?

Hi Libra_girl ! Welcome to PF! :smile:

Hint: what equations do you know that relate the size of the object to the size of the image? :smile:
 
tiny-tim said:
Hi Libra_girl ! Welcome to PF! :smile:

Hint: what equations do you know that relate the size of the object to the size of the image? :smile:


Is it the equation: do/di = m or 1/do + 1/di = 1/f ?
 
Libra_girl said:
Is it the equation: do/di = m or 1/do + 1/di = 1/f ?

Both equations! :smile:

Except isn't it m = -di/do? :rolleyes:
 
tiny-tim said:
Both equations! :smile:

Except isn't it m = -di/do? :rolleyes:


yeah it is sorry :smile:
 
Last edited:
Libra_girl said:
yeah it is sorry :smile:

tiny-tim said:
Both equations! :smile:

Except isn't it m = -di/do? :rolleyes:

Ok so I know f and I know m, now I am solving for do, but I don't know the di?
 
Hi Libra girl,

You now have two equations in two unknowns. You can solve the magnification formula for one of the variables and plug it into the other formula. What does that give?
 

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