Why Does Moving the Microscope Objective Create a Second Image?

AI Thread Summary
Moving the microscope objective creates a second image due to the optical properties of the system involving refraction and reflection. When the objective is shifted, light from the scratch at point A can still reach the objective after reflecting off the plate, resulting in a second sharp image. The unchanged distance D implies that the light path remains consistent despite the movement of the objective. The discussion highlights the complexities of light behavior in optical systems, particularly in relation to refractive indices and distances. Understanding these principles is crucial for grasping why multiple images can occur in microscopy.
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Homework Statement


I have a transparent plate (call the thickness t and refractive index n), it has a scratch at a point A. A microscope objective (M, positive) images the point A in A' at a distance D from the objective. If we move M a certain distance d down (without changing focus, meaning D is unchanged), there will be another sharp image of the scratch.

How come?

Homework Equations



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The Attempt at a Solution



I was thinking that it might be some reflection on the objective that reflects the light back to the plate and back to the objective at the same point as before it was moved, and then refracted towards A'. I'm not sure if I understand the problem correctly... I think it is suggesting a second image somewhere else?
 
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Ok, I tried illustrating the problem. Please check the attachment (hope it helps).
 

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