How to tell is a two lens converging system is inverted or not

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SUMMARY

The discussion focuses on determining the characteristics of the final image produced by a compound microscope consisting of two converging lenses: an objective lens with a focal length of 15.0 mm and an eyepiece with a focal length of 25.5 mm. The calculations reveal that the final image is located 130 mm to the left of the eyepiece, indicating it is virtual. However, the image is inverted due to the real image produced by the objective lens, which is always inverted when using a compound microscope. The overall magnification of the system can be calculated using the formula M = m1 * m2.

PREREQUISITES
  • Understanding of lens formulas, specifically 1/do + 1/di = 1/f
  • Knowledge of magnification calculations, including M = -di/do
  • Familiarity with the concepts of real and virtual images in optics
  • Basic principles of compound microscope operation
NEXT STEPS
  • Explore the concept of image formation in optical systems using ray diagrams
  • Learn about the effects of varying focal lengths on image characteristics in microscopes
  • Investigate the overall magnification calculation for different lens combinations
  • Study the differences between real and virtual images in various optical setups
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the mechanics of compound microscopes and image formation.

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Homework Statement


A compound microscope consists of two converging lenses. Lens 1, called the objective,
is a distance 61.0 mm from lens 2, called the eyepiece. The objective is placed in between the
object and the eyepiece. The objective has a focal length of 15.0 mm, and the eyepiece has a
focal length of 25.5 mm. If the microscope is used to examine an object placed 24.1 mm in
front of the objective,
a) what is the distance of the final image with respect to the eyepiece?
b) Is the image real or virtual?
c) Is the image inverted or non-inverted?
d) What is the overall magnification of the microscope?

Homework Equations


1/do+1/di = 1/f
M=-di/do
M=m1m2

The Attempt at a Solution


This is what I did for part a and b. 1/24.1+1/di = 1/15
which gives me 39.725. Then 61-39 because they are both between lens 1 and 2. which gives 21. then 1/21 + 1/di = 1/25.5 which gives -128.405 mm. The answer is 130mm to the left of the eyepiece so I got that part right. The because the image distance is negative the image is virtual. Thus I thought this would mean the image would be upright sice the di value is negative and the lens are converging. However it is not can anyone help me with this?
 
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what you have done is correct. The image formed by the eyepiece is virtual and this image is upright.
BUT the object for the eyepice is the image from the objective and this is real and INVERTED
 
Can you tell me why though is it going to be like this all the time?
 

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