After taking an astronomy class, you purchase an astronomical
telescope that has a focal length for the objective and eyepiece
respectively of 196 cm and 1.27 cm. After using the telescope
several times, you decide to increase its angular magnification by
replacing the eyepiece. After replacing the eyepiece, the length of
the barrel must be adjusted in order to bring objects into focus.
Determine the best angular magnification you can obtain, if the
barrel can only be shortened by 0.54 cm from its current
length.
L = fo + fe
where L is barrel length
we are given
fo = 196 cm and fe = 1.27 cm
so,
L = 197.27 cm
Now, if we shorten the barrel length by 0.54 cm
then new L = 197.27 - 0.54 = 196.73
we find eyepiece focal length using this
note that objective focal length does not change
so,
fe = 196.73 - 196 = 0.73 cm
so
angular magnification = 196 / 0.73 = 268.5
This is the maximum magnification he can get. If he decreases the length of barrel by less than 0.54 cm then angular magnification will also decrease.
After taking an astronomy class, you purchase an astronomical telescope that has a focal length for...
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