---
title: "A shopper stands at a distance \\(d\\) in front of a flat glass mirror and a convex security mirror of focal length magnitude \\(|f|\\), both mounted on a wall. The shopper then walks backward until their distance from each mirror is \\(2d\\). Which of the following correctly describes what happens to the physical height of the image formed by each mirror as the shopper moves from \\(d\\) to \\(2d\\)?"
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url: "https://nerd-notes.com/ubq/116891/"
date_modified: "2026-08-04T06:09:59+00:00"
---

# A shopper stands at a distance \(d\) in front of a flat glass mirror and a convex security mirror of focal length magnitude \(|f|\), both mounted on a wall. The shopper then walks backward until their distance from each mirror is \(2d\). Which of the following correctly describes what happens to the physical height of the image formed by each mirror as the shopper moves from \(d\) to \(2d\)?

A shopper stands at a distance \(d\) in front of a flat glass mirror and a convex security mirror of focal length magnitude \(|f|\), both mounted on a wall. The shopper then walks backward until their distance from each mirror is \(2d\). Which of the following correctly describes what happens to the physical height of the image formed by each mirror as the shopper moves from \(d\) to \(2d\)?

![A schematic diagram showing two separate optical setups side by side, labeled Setup 1 and Setup 2. Setup 1 shows a vertical flat mirror represented by a vertical straight line segment. An upright arrow representing an object of height h_o stands on a horizontal principal axis at a distance d in front of the flat mirror. Setup 2 shows a convex mirror represented by a vertical line curved outward toward the object on the left. An identical upright arrow of height h_o stands on the horizontal principal axis at the same distance d in front of the convex mirror. Horizontal arrows labeled 'Movement' point to the left away from both mirrors to indicate the objects being moved to distance 2d. No image arrows, light rays, focal points, or construction lines appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785823799-KHJXH0.jpg)

- **A.** Flat mirror: Remains the same | Convex mirror: Decreases
- **B.** Flat mirror: Decreases | Convex mirror: Decreases
- **C.** Flat mirror: Remains the same | Convex mirror: Increases
- **D.** Flat mirror: Decreases | Convex mirror: Increases

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116891/*