How Is the Focal Length of an Ocular Determined in an Astronomical Telescope?

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SUMMARY

The focal length of a Huygens ocular in an astronomical telescope is determined using the thin lens formula, specifically the equation (x)(x') = f^2. In this case, the ocular consists of two lenses with focal lengths of 10cm and 5cm, separated by 7.5cm. The exit pupil is located 3cm to the right of the second lens. The objective lens is positioned 30cm to the left of the front lens of the ocular, providing the necessary context for calculating the focal length of the ocular.

PREREQUISITES
  • Understanding of thin lens equations and optics
  • Knowledge of Huygens ocular design
  • Familiarity with exit pupil concepts in telescopes
  • Basic principles of image formation in optical systems
NEXT STEPS
  • Study the derivation of the thin lens formula in optics
  • Learn about the optical design of telescopes, focusing on Huygens oculars
  • Research methods for calculating exit pupil positions in optical systems
  • Explore the impact of lens separation on focal length and image quality
USEFUL FOR

Astronomy students, optical engineers, and hobbyist telescope builders will benefit from this discussion, particularly those interested in understanding the mechanics of ocular design and image formation in telescopes.

SwaggerJohn
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A Huygens ocular is constructed of two thin lenses of focal lengths 10cm and 5cm respectively, separated by 7.5cm. The ocular is used in an astronomical telescope whose objective is 30cm to the left of the front lens of the ocular.

I need to find the position of the exit pupil, and then find the focal length of the ocular.

OK so I understand how to find the exit pupil and here is my idea:

Basically the exit pupil will be located where the image of the objective lens is created. So I found where the image of the objective lens will be created by Huygens ocular.

I used the following equation to do this: (x)(x') = f^2

where x is the distance of the object from the 2nd focal point of the thin lens, x' is the distance of the image formed measured from the 1st focal point of the thins lens, and f is the focal length of the thin lens.

So the image from the first lens is the object for the 2nd and eventually this gives that the exit pupil is 3cm to the right of the 2nd lens in the ocular.

Any ideas how to find the focal length of the ocular now?
 
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Just read the sticky. I know this looks like a homework question but its not, but I guess it should have been posted in the other board. I don't have the ability to move it or I would. Sorry about that.
 

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