Homemade Compound Microscope Problem

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A discussion on a homemade compound microscope addresses the calculation of magnifying power and lens separation. The objective lens has a focal length of 1 cm, and the eyepiece has a focal length of 3 cm, with an object distance of 1.20 cm. The initial calculations for magnifying power yield incorrect results, with the expected value being 46.7x instead of 41.67x. Additionally, the separation of the lenses is miscalculated, with the correct value being 8.68 cm, while the attempted solution gives 2.39 cm. The thread includes guidance on using relevant equations for accurate calculations.
molip790
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1. Homework Statement

A Homemade compound microscope has, as objective and eyepiece, thin lenses of focal lengths 1cm and 3cm, respectively. An object is situated at a distance of 1.20cm from the objective. If the virtual image produced by the eyepiece is 25cm from the eye, compute (a.) the magnifying power of the microscope and (b) the separation of the lenses

2. Homework Equations

M = (-25)(L)/(fo)(fe) where L is the length, and fo = focal length of objective, and fe = focal length of the eyepiece

1/s + 1/s' = 1/fo

M = 25/feff where feff is the effective focal length of the two lenses separated by a distance d

So... 1/feff = 1/fo + 1/fe - d/fofe

3. The Attempt at a Solution

(a.) 1/s + 1/s' = 1/fo
1/1.20 + 1/s' = 1/3
1/s' = -1/2
s' = -2cm

then...
M = -25L/fofe
= -25(s'-fo)/fofe
= -25(-2-3)/(3*1)
= 125/3
M = 41.6667 ? which isn't right (its supposed to be 46.7x)

which will make part b. wrong, but even with the correct answer using the equation I have:

M = 25/feff and feff = 1/fo + 1/fe - d/fofe I still get d = 2.39 which is also incorrect, its supposed to be 8.68
 
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molip790 said:
1. Homework Statement

A Homemade compound microscope has, as objective and eyepiece, thin lenses of focal len...
Dear molip790
I could not translate well but I understand that you have problems on homemade microscop.
The picture below shows how to do:

th_microscope.png
=>
th_microscope2.jpg


The equations below you can calculate that binds to a microscope.

images?q=tbn:ANd9GcS1wzrat7k7u63z4sT_4wFMmZG8jhtFWqg6W-iLWVX9qJ4DdmPvSA.png


Another home made compound microscopes.

th_ZoomMic.jpg
***
th_StereoMic.png
***
th_mic_tel.jpg

Homemade simple focuser =>
th_helicalfocus.png
 
f1 =10 mm ; f2 = 30 mm ; s = 12mm

s' = 60 mm => M f1 = s' / s = 60 / 12 = 5 x.

M mic. = Mf1 . (250 / f2) = 41.6 X
 
Last edited:
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