---
title: "An object is placed at three distinct positions along the principal axis of a concave spherical mirror with focal length \\(f\\): Position 1 at distance \\(d_1 = 1.25f\\), Position 2 at distance \\(d_2 = 1.50f\\), and Position 3 at distance \\(d_3 = 1.75f\\) from the mirror’s vertex. Let \\(|M_1|\\), \\(|M_2|\\), and \\(|M_3|\\) represent the magnitude of the magnification of the image produced when the object is placed at Positions 1, 2, and 3, respectively. Which of the following correctly ranks the magnitudes of these magnifications?"
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url: "https://nerd-notes.com/ubq/116847/"
date_modified: "2026-08-04T06:09:51+00:00"
---

# An object is placed at three distinct positions along the principal axis of a concave spherical mirror with focal length \(f\): Position 1 at distance \(d_1 = 1.25f\), Position 2 at distance \(d_2 = 1.50f\), and Position 3 at distance \(d_3 = 1.75f\) from the mirror’s vertex. Let \(|M_1|\), \(|M_2|\), and \(|M_3|\) represent the magnitude of the magnification of the image produced when the object is placed at Positions 1, 2, and 3, respectively. Which of the following correctly ranks the magnitudes of these magnifications?

An object is placed at three distinct positions along the principal axis of a concave spherical mirror with focal length \(f\): Position 1 at distance \(d_1 = 1.25f\), Position 2 at distance \(d_2 = 1.50f\), and Position 3 at distance \(d_3 = 1.75f\) from the mirror's vertex. Let \(|M_1|\), \(|M_2|\), and \(|M_3|\) represent the magnitude of the magnification of the image produced when the object is placed at Positions 1, 2, and 3, respectively. Which of the following correctly ranks the magnitudes of these magnifications?

![A horizontal principal axis line extends across the diagram. On the right end, a concave mirror is drawn as a vertical arc curving outward to the right. Along the principal axis to the left of the mirror vertex, tick marks indicate key points: the focal point labeled F at distance f, and the center of curvature labeled 2F at distance 2f. Three vertical arrows representing object positions sit on the principal axis between F and 2F: arrow 1 at distance 1.25f from the vertex, arrow 2 at distance 1.50f, and arrow 3 at distance 1.75f. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785823791-elQfws.jpg)

- **A.** \( |M_3| > |M_2| > |M_1| \)
- **B.** \( |M_1| = |M_2| = |M_3| \)
- **C.** \( |M_2| > |M_1| > |M_3| \)
- **D.** \( |M_1| > |M_2| > |M_3| \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116847/*