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.

Respuesta :

Answer:

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

Explanation:

Magnification equation is given by

M = [tex]\frac{f_{o} }{f_{e} }[/tex]

where

[tex]f_{o}[/tex] is the focal length of the objective

[tex]f_{e}[/tex] 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 [tex]\frac{1}{f_{e} }[/tex]

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