How far from the eyepiece is the image formed by the objective?

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SUMMARY

The discussion focuses on a microscope with an eyepiece focal length of 2.50 cm and an objective focal length of 4.60 cm. The correct distance from the eyepiece to the image formed by the objective is 2.27 cm, while the distance from the objective lens to the object being viewed is 6.10 cm. The participant incorrectly calculated the angular magnification as -33.3 instead of the correct value of -33.8. The calculations involve the distance between the lenses, which is 21.0 cm, and the use of the formula for magnification.

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Homework Statement


A microscope has an eyepiece of focal length 2.50 cm and an objective of focal length 4.60 cm. The eyepiece produces a virtual image at the viewer's near point (25.0 cm from the eye).

a) How far from the eyepiece is the image formed by the objective? ANswer: 2.27 cm -This is correct :)
b) If the lenses are 21.0 cm apart, what is the distance from the objective lens to the object being viewed ANswer: 6.10 cm. This is correct :)
c) What is the angular magnification? Answer: -33.3 This is WRONG :(

Here is what I did:
L=(Distance between lens) - (objective focal length) - (eye piece focal length)

so,

L= 21.0-4.60 - 2.50
L=13.9

I know that M=-LN/(objective focal length * object distance from eye piece)
So plugging in L=13.9
N=25
Fo=4.60
pe=2.27 i get -33.3 and not -33.8

Homework Equations





The Attempt at a Solution

 
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I have stated my attempt at a solution above. I know that -33.3 is wrong, so I must have made a mistake in my calculation but I'm not sure where.
 

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