Biology Lab Microscope Magnification Calculations

AI Thread Summary
The discussion revolves around calculating the focal length of the objective lens and the distance between the blood sample and the objective lens using a compound microscope. The total magnification is given as -4530, with the eyepiece focal length at 2.62 cm and the tube length at 18 cm. Participants suggest using the equations for magnification and the relationship between the focal lengths and tube length to solve the problem. It is emphasized that proper substitution in the equations is crucial for arriving at the correct answers. The conversation aims to clarify the application of these formulas in the context of the microscope setup.
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Homework Statement


To examine a particular blood sample in biology lab, a student uses a compound microscope set to have a magnification of -4530. The objective and eyepiece are both attached to a tube which is 18 cm in length and the eyepiece has a focal length of 2.62 cm. The near point of the person using the microscope is 24 and you can assume she can view the image produced with a fully relaxed eye.

a) What is the focal length of the objective?

b) What is the distance between the blood sample and the objective lens?


Homework Equations


Mobjective = -di/do = - di/ fobjective

Meyepiece = N/feyepiece

Mtotal = Mobjective*Meyepiece


The Attempt at a Solution



i tried using these equations...but they didnt work out for me.. unless I am using the wrong equation... i got them equation from compound microscope section of a book
 
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The equations you have are right; you just have to do some substitution. Starting with your most general/biggest one, Mtotal = Mobjective*Meyepiece, sub in the equations that you have for the Mobjective and Meyepiece. Then, plug in the values given by the problem. You will also need to remember that L(length) = fobjective + feyepiece where the f=focal length. Hope this helps! :)
 

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