Finding the Position of a Sample Using Microscope Magnification

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The discussion focuses on calculating the distance of a sample from the objective lens of a microscope with a total magnification of 800x, using given focal lengths for the objective and eyepiece. The initial calculations for the focal lengths were determined to be 0.025m for the objective and 0.05m for the eyepiece. Despite calculating the position of the virtual image and the object distance, the final answer of 2.97 cm was deemed incorrect by the Mastering Physics platform. Further attempts to adjust the focal distances based on magnification equations also did not yield the correct result of 0.51 cm. Participants are seeking guidance to resolve the discrepancies in their calculations.
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Homework Statement


A microscope with a tube length of 200 mm achieves a total magnification of 800\times with a 40 \times objective and a 20\times eyepiece. The microscope is focused for viewing with a relaxed eye.
How far is the sample from the objective lens?


Homework Equations


1/s+1/s'=1/f


The Attempt at a Solution


I calculated the two focal lengths for the lenses to be 1/40=0.025m (objective) and 1/20=0.05 m (eyepiece).
Next I calculated the position of the virtual image projected by objective lens. Assuming the final image should be at -25cm the virtual image would be at 4.16cm before the objective lense.
Since there is 20cm between the two lenses this means that the image projected by the objective lens would be at 15.84cm behind the objective lens. Finally I calculated that the object should be at 2.97 cm before the objective lens. However Mastering Physics is telling me this answer is not correct.
Can anyone help steer me in the right direction? Thanks
 
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Magnification Mo = L/fo
Magnification of eye-piece = Me = 25 cm/fe.
 
that would make the focal distances 0.5cm and 1.25 cm for the objective and eyepiece lenses respectively? Using those foci I still do not get the correct answer (0.51 cm).
 
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