Convergent lenses and calculating image position

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SUMMARY

The discussion focuses on calculating the image positions and sizes formed by two convergent lenses, each with a focal length of 10 cm. The object height is 3.5 cm, and the distance between the two lenses is 30 cm, with the object placed 30 cm from the first lens. The calculations reveal that the first image is located 15 cm in front of the first lens with a height of -1.75 cm, while the second image is located 16.6 cm in front of the second lens with a height of 1.9 cm, confirming that the second image is real, inverted, and reduced in size.

PREREQUISITES
  • Understanding of lens formulas, specifically 1/f = 1/s' + 1/s
  • Knowledge of magnification equations, h'/h = -s'/s
  • Familiarity with the concept of real and virtual images in optics
  • Basic skills in diagramming optical systems
NEXT STEPS
  • Study the principles of ray diagrams for convergent lenses
  • Learn about the effects of varying object distances on image formation
  • Explore the concept of multiple lens systems and their combined focal lengths
  • Investigate the applications of convergent lenses in optical devices
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding image formation through convergent lenses.

mortymoose

Homework Statement


Two convergent lens are identical in focal length (f=10cm) and the oobject height (h0) is 3.5 cm. The distance between the two lenses is 30cm and the distance from the object to the first lens is 30cm.
-Draw a diagram on the figure and show the image position (di) and size (hi) formed by the two lenses.

Homework Equations


1/f = 1/s' +1/s
h'/h = - s'/s

The Attempt at a Solution


The first place I think I am getting confused is whether or not two images are formed. When I did my work that is what i assumed.
My first step was to solve for the first image location:
1/10 = 1/30 +1/s'
s' =15cm
so, first imag eis 15cm in front of first lens
then the height of the first image:
h'/3.5cm = -15/30
h'= -1.75cm

Second image location:
1/10=1/25 +1/s'
s'= 16.6cm
the second image is 16.6cm in front of the second lens
height of second image was:
h'/-1.75cm = -16.6cm/15cm
h'= 1.9cm
So this image would be real, inverted, and reduced in size

But then I am supposed to use 1/d0 + 1/di =1/f
and that's where i realized i must be doing something wrong, because I assumed that two images would be formed but they are only asking for the one image
 
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mortymoose said:
Second image location:
1/10=1/25 +1/s'
Check if this matches your actual problem statement. From your post #1, I conclude 15 cm, not 25.

Can you post the picture ?
 
There is a real image formed by the lens closer to the object, then that image becomes the object for the other lens.
I believe they want you to determine the height and location of the image produced by the other lens.
 
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