Suppose we place a Sharpie in front of a lens. The Sharpie has length 18 cm and is oriented at a 45° angle relative to the orientation of the lens. The center of the Sharpie lies on the central axis of the lens and 45 cm in front of the lens. The lens has a focal length of 24 cm. (Assume that the diameter of the lens is such that the lens equation is valid for this problem.) i. The Sharpie forms an image with this lens. Where is this image located? (Specify the locations of the images of the points A and B on the Sharpie - the center and the tip.) ii. What is the length of the "image Sharpie" (i.e. the distance between the images of the tip and rear)?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

Suppose we place a Sharpie in front of a lens. The Sharpie has a length of 18 cm and is oriented at a 45° angle relative to the orientation of the lens. The center of the Sharpie lies on the central axis of the lens and is 45 cm in front of the lens. The lens has a focal length of 24 cm. (Assume that the diameter of the lens is such that the lens equation is valid for this problem.)

i. The Sharpie forms an image with this lens. Where is this image located? (Specify the locations of the images of the points A and B on the Sharpie—the center and the tip.)

ii. What is the length of the “image Sharpie” (i.e., the distance between the images of the tip and rear)?

**Diagram Explanation:**

The diagram shows a convex lens on the central horizontal axis. To the left of the lens, a Sharpie is shown angled at 45° to the horizontal. The center of the Sharpie is labeled point A, and the tip is labeled point B. Point A is 45 cm from the lens along the horizontal axis. Lines trace the positions and orientation of the Sharpie regarding the lens.
Transcribed Image Text:**Problem Statement:** Suppose we place a Sharpie in front of a lens. The Sharpie has a length of 18 cm and is oriented at a 45° angle relative to the orientation of the lens. The center of the Sharpie lies on the central axis of the lens and is 45 cm in front of the lens. The lens has a focal length of 24 cm. (Assume that the diameter of the lens is such that the lens equation is valid for this problem.) i. The Sharpie forms an image with this lens. Where is this image located? (Specify the locations of the images of the points A and B on the Sharpie—the center and the tip.) ii. What is the length of the “image Sharpie” (i.e., the distance between the images of the tip and rear)? **Diagram Explanation:** The diagram shows a convex lens on the central horizontal axis. To the left of the lens, a Sharpie is shown angled at 45° to the horizontal. The center of the Sharpie is labeled point A, and the tip is labeled point B. Point A is 45 cm from the lens along the horizontal axis. Lines trace the positions and orientation of the Sharpie regarding the lens.
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