---
title: "A student uses a thin converging lens with focal length \\(f\\) to project an image of an object onto a screen. The object is placed at a distance \\(d_o = 2f\\) to the left of the lens, as shown in the diagram. Which of the following correctly pairs the image distance \\(d_i\\) relative to \\(d_o\\) and the orientation of the image?"
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url: "https://nerd-notes.com/ubq/116829/"
date_modified: "2026-08-04T06:09:47+00:00"
---

# A student uses a thin converging lens with focal length \(f\) to project an image of an object onto a screen. The object is placed at a distance \(d_o = 2f\) to the left of the lens, as shown in the diagram. Which of the following correctly pairs the image distance \(d_i\) relative to \(d_o\) and the orientation of the image?

A student uses a thin converging lens with focal length \(f\) to project an image of an object onto a screen. The object is placed at a distance \(d_o = 2f\) to the left of the lens, as shown in the diagram. Which of the following correctly pairs the image distance \(d_i\) relative to \(d_o\) and the orientation of the image?

![A horizontal principal axis line runs through the center of a thin converging lens represented by a vertical line segment with outward-pointing arrowheads at top and bottom ends. On the left side of the lens, two tick marks sit on the principal axis: one labeled f at a distance f from the lens, and one labeled 2f at a distance 2f from the lens. On the right side of the lens, two symmetric tick marks sit on the principal axis, labeled f and 2f at distances f and 2f from the lens, respectively. A vertical upward-pointing arrow representing the object stands on the principal axis at the left 2f tick mark. No other lines, labels, or rays appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785823787-cXx8Zx.jpg)

- **A.** Image Distance: \(d_i = d_o\) | Orientation: Inverted
- **B.** Image Distance: \(d_i = d_o\) | Orientation: Upright
- **C.** Image Distance: \(d_i = \dfrac{1}{2}d_o\) | Orientation: Inverted
- **D.** Image Distance: \(d_i = \dfrac{1}{2}d_o\) | Orientation: Upright

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116829/*