Can an object be halfway between focal point and diverging mirror?

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SUMMARY

The discussion centers on the physics problem from "Principles of Physics" by Mazur regarding the placement of an object in relation to a diverging mirror. It concludes that placing an object halfway between the focal point and the diverging mirror is not feasible, as the focal point of a diverging mirror is located behind the mirror. The participant references Table 33.2, which indicates that the scenario of an object being behind the mirror occurs only with specific combinations of lenses or mirrors.

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Negatratoron
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A physics question from Principles of Physics by Mazur in the chapter on Optics is asking me to "repeat Problem 92 for a diverging mirror", and one of the questions in Problem 92 (which is about a converging mirror) is to find the image distance of an object halfway between the focal point and the mirror.

I do not believe this is possible, since the focal point of a diverging mirror is behind the mirror, and so an object halfway between the focal point and the mirror is also behind the mirror.
 
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I think I figured it out. Table 33.2 in the text has a footnote in the "o < 0" case: "Encountered only with lens or mirror combinations". If any mirror is in combination with other mirrors and lenses, it may be the case that the object is behind the mirror.
 

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