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Using the thin-lens equation and the magnification factor, show that for a spherical diverging lens the image of a real object is always virtual, upright,

Using the thin-lens equation and the magnification factor, show that for a spherical diverging lens the image of a real object is always virtual, upright, and reduced. Does the same apply for a spherical diverging mirror?

Reference to answer: https://www.coursehero.com/textbook-solutions/using-the-thin-lens-equation-and-the-magnification-factor-show-that-for-a-spherical-9781285738567-681/Chapter-31-Problem-5-1995999/

Reference: Wilson, J. D., & Hernandez-Hall, C. A. (2015). Physics Laboratory Experiments (Eight ed.). USA: Cengage Learning. Chapter 31

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