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 MM of a telescope can be determined using the formula:

M=fofeM = \frac{f_o}{f_e}

where:

  • fof_o is the focal length of the objective lens (in this case, 98.5 cm),
  • fef_e is the focal length of the eyepiece lens (in this case, 12.9 cm).

Substituting the given values:

M=98.5cm12.9cm=7.64M = \frac{98.5 \, \text{cm}}{12.9 \, \text{cm}} = 7.64

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:

  1. How does changing the focal length of the eyepiece affect the magnification?
  2. What is the significance of angular magnification in telescopes?
  3. How do you calculate the field of view of a telescope?
  4. What are the advantages and disadvantages of higher magnification in telescopes?
  5. 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