Find the total magnification for a system of 2 converging lenses

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SUMMARY

The total magnification for a system of two converging lenses can be calculated using the formula Mtotal = M1 * M2. In this discussion, the magnification of the first lens (M1) is -1.33 and the magnification of the second lens (M2) is -2.57. The resulting total magnification is calculated as -2.57 * -1.33, yielding a total magnification of 3.42. This confirms the accuracy of the calculations presented.

PREREQUISITES
  • Understanding of lens formulas and magnification calculations
  • Familiarity with the properties of converging lenses
  • Knowledge of object and image distance conventions in optics
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the principles of lens combinations in optics
  • Learn about ray diagrams for converging lenses
  • Explore the impact of lens focal lengths on magnification
  • Investigate the differences between real and virtual images in lens systems
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Students studying optics, physics educators, and anyone interested in understanding lens systems and magnification calculations.

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Homework Statement



There are two converging lenses. The object of the first lens (i.e. the lens on the left) is 17.5 cm to the left of the first lens, and the resulting image from the first lens is 23.33 cm to the right of the first lens.

The second lens is 40 cm to the right of the first lens. The image formed by the first lens is used as the object for this second lens, and the new image, formed by the second lens, is 42.85 cm to the right of the second lens.

Find the total magnification of the system. (i.e. magnification of the second image from the original object).

Homework Equations



Mtotal = M1 * M2 = (-di/do) * (-di/do)

The Attempt at a Solution



I got -1.33 for the magnification by the first lens and -2.57 for the magnification by the second lens, so the total magnification is -2.57*-1.33 = 3.42. Is this right? I'm a little unsure on this, so I wanted to make sure I was doing it right.

Thanks!
 
Last edited:
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It is correct. There isn't much to this calculation.
 

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