What is the Cartesian sign convention for microscope and telescope distances?

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SUMMARY

The Cartesian sign convention for optical instruments such as microscopes and telescopes dictates that distances in the direction of the incident ray are negative, while distances along the ray are positive. For a compound microscope, the focal length of the eyepiece (Fe) and the object distance (Ue) are negative, while the focal length of the objective (Fo) and the image distance (Vo) are positive. In telescopes, the objective focal length (Fo) and image distance (Vo) are positive, while the object distance (Uo) is negative. The eyepiece follows the same convention as the compound microscope.

PREREQUISITES
  • Understanding of optical physics principles
  • Familiarity with the structure and function of microscopes and telescopes
  • Knowledge of the Cartesian coordinate system
  • Ability to interpret sign conventions in physics
NEXT STEPS
  • Research the application of the Cartesian sign convention in optical systems
  • Study the longitudinal lens formula and its implications for lens design
  • Explore the differences between simple and compound microscopes
  • Learn about the optical properties of telescopes and their configurations
USEFUL FOR

Students of physics, optical engineers, and anyone studying the principles of microscopy and telescopy will benefit from this discussion.

Suyash Singh

Homework Statement


Cartesian sign convetion for microscope,compound microscope and telescope.

Homework Equations


distances in the direction of incident ray are negative and thsoe along it are positive.
all distances are measured from pole of lens or mirror.

The Attempt at a Solution


1.FOR COMPOUND MICROSCOPE
eyepiece:
Fe is -
Ue is -
Ve is -
objective:
Fo is +
Vo is +
Uo is -
2.FOR MICROSCOPE
Vo is +
Uo is -
Fo is +
3.TELESCOPE
Objective:
Fo is +
Vo is +
Uo is -
eyepiece:
Fe is -
Ue is -
Ve is -
Am i correct?
i am so confused about this sign thing.
 
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