---
title: "A convex security mirror has a focal length of magnitude \\(|f|\\). Two identical upright objects, Object 1 and Object 2, are placed on the principal axis in front of the mirror at distances \\(d_1\\) and \\(d_2\\) from the mirror surface, respectively, where \\(d_1 < d_2\\). Which of the following correctly compares the magnitudes of the magnifications \\(|M_1|\\) and \\(|M_2|\\) of the images formed by the mirror, and provides a correct justification?"
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url: "https://nerd-notes.com/ubq/116797/"
date_modified: "2026-08-04T06:09:43+00:00"
---

# A convex security mirror has a focal length of magnitude \(|f|\). Two identical upright objects, Object 1 and Object 2, are placed on the principal axis in front of the mirror at distances \(d_1\) and \(d_2\) from the mirror surface, respectively, where \(d_1 < d_2\). Which of the following correctly compares the magnitudes of the magnifications \(|M_1|\) and \(|M_2|\) of the images formed by the mirror, and provides a correct justification?

A convex security mirror has a focal length of magnitude \(|f|\). Two identical upright objects, Object 1 and Object 2, are placed on the principal axis in front of the mirror at distances \(d_1\) and \(d_2\) from the mirror surface, respectively, where \(d_1 < d_2\). Which of the following correctly compares the magnitudes of the magnifications \(|M_1|\) and \(|M_2|\) of the images formed by the mirror, and provides a correct justification?

![A horizontal principal axis drawn as a thin line. A convex mirror is positioned vertically, drawn as an arc curving outward toward the left. On the left side of the mirror along the principal axis, two vertical arrows representing objects point upward: Object 1 is located at a distance d1 from the mirror vertex, and Object 2 is located farther to the left at a distance d2 from the mirror vertex, such that d1 < d2. On the right side of the mirror behind the curved surface, a single dot labeled F marks the focal point at a distance |f| from the vertex. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785823782-AcblXC.jpg)

- **A.** \(|M_1| > |M_2|\), because an object closer to a convex mirror forms a virtual image closer to the mirror surface, yielding a larger magnification.
- **B.** \(|M_1| > |M_2|\), because Object 1 is close enough to form a real image, whereas Object 2 forms a virtual image.
- **C.** \(|M_1| < |M_2|\), because placing an object farther from the mirror moves its image closer to the focal point where light rays are focused more strongly.
- **D.** \(|M_1| = |M_2|\), because a convex mirror produces images with a constant magnification regardless of the object's distance from the mirror.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116797/*