Math Problem Statement
To view the craters of the moon, you can show a refreshing telescope from a lens with a focal length of 98.5 cm as its objective and a 12.9 cm focal length lens as its IPP determine the angular magnification of your telescope when you look at the moon
Solution
The angular magnification of a telescope can be determined using the formula:
where:
- is the focal length of the objective lens (in this case, 98.5 cm),
- is the focal length of the eyepiece lens (in this case, 12.9 cm).
Substituting the given values:
So, the angular magnification of your telescope when you look at the moon is approximately 7.64.
Would you like more details or have any other questions?
Here are 5 related questions for further exploration:
- How does changing the focal length of the eyepiece affect the magnification?
- What is the significance of angular magnification in telescopes?
- How do you calculate the field of view of a telescope?
- What are the advantages and disadvantages of higher magnification in telescopes?
- How does the aperture of the objective lens impact the telescope's performance?
Tip: When using a telescope, remember that higher magnification isn't always better. It can reduce the field of view and make the image dimmer, especially in telescopes with smaller apertures.
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Math Problem Analysis
Mathematical Concepts
Optics
Angular Magnification
Formulas
M = f_o / f_e
Theorems
None (Basic application of the magnification formula)
Suitable Grade Level
Grades 9-12
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