Question #2: Looking at the magnification equation above, does a shorter focal length eyepiece increase or decrease the magnification (over

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Question #2: Looking at the magnification equation above, does a shorter focal length eyepiece increase or decrease the magnification (over a longer focal length eyepiece)? Explain briefly.

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Latifah 5 years 2021-08-25T08:50:03+00:00 1 Answers 22 views 0

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  1. Nem
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    2021-08-25T08:51:39+00:00
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    Answer:

    Shorter focal length eyepiece increases magnification and longer focal length eyepiece decreases magnification

    Explanation:

    Magnification equation is given by

    M = \frac{f_{o} }{f_{e} }

    where

    f_{o} is the focal length of the objective

    f_{e} is the focal length of the eyepiece

    Assuming that the focal length of objective is constant, we can derive relation between Magnification power and focal length of eyepiece as

    M α \frac{1}{f_{e} }

    Above derivation shows that the magnification is inversely proportional to the focal length of eyepiece

    Hence shorter focal length eyepiece increases magnification and longer focal length eyepiece decreases magnification

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