What is the magnification achieved with an objective focal length of 2000 mm and an eyepiece focal length of 20 mm?
Answer
100x
The magnification achieved by a telescope is calculated using a straightforward ratio involving the focal lengths of its optical components. Specifically, magnification (M) is determined by dividing the objective focal length ($f_o$), which is determined by the main mirror or lens, by the focal length ($f_e$) of the eyepiece currently inserted into the optical path. Using the given values, the calculation is $2000 ext{ mm} / 20 ext{ mm}$, which results in a magnification factor of $100 imes$. This demonstrates how different eyepieces allow an observer to vary the view, making high-power observation possible when paired with a long focal length optical system.
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