Homework Help: objective and eyepiece lens

Posted by katherine on Friday, May 22, 2009 at 3:31am.

What is the approximate magnification of a compound microscope with objective and eyepiece focal lengths of 0.3 cm and 3.6 cm, respectively, and a separation between lenses of 20 cm?

The answer is 460.

I tried finding the magnification for the eyepiece which was m=25/f=25/3.6=6.94.
For the objective lens I tried to solve for q by 1/20 + 1/q = 1/.3 and solved for magnification of objective lens to be m=-q/p.. but i didnt get the correct answer.. is the given value of 20cm=p? i think thats where i went wrong.

Science - Writeacher, Friday, May 22, 2009 at 8:32am
Assistance needed.

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objective and eyepiece lens - bobpursley, Friday, May 22, 2009 at 9:27am
A resonable approximation for magnification of a microscope is

M= L/f0 * 25/fe
See:http://hyperphysics.phy-astr.gsu.edu/hbasees/geoopt/micros.html
With that approximation, I get
M= 20/.3*25/3.6=463 and it has to be rounded to two sig figures.

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