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Chapter 23: Problem 60

Sketch a ray diagram to show that when an object is placed between twice the focal length and the focal length from a converging lens, the image formed is inverted, real, and enlarged in size.

Short Answer

Expert verified
Question: When an object is placed between twice the focal length and the focal length from a converging lens, describe the properties of the image formed. Answer: The image formed is inverted, real, and enlarged in size.

Step by step solution

01

Draw the lens, object, and focal points

First, draw a vertical line to represent the converging lens. Place a point F on each side of the lens to represent the focal points. Note that each focal length is the same, let it be f. Label a point O at a distance between f and 2f away from the lens on the left side as the object location.
02

Draw the principal rays

The three principal rays are: 1. Ray 1: A ray parallel to the principal axis from the top of the object to the lens. After passing through the lens, it goes through the focal point F on the right side. 2. Ray 2: A ray from the top of the object that passes through the center of the lens without any refraction. 3. Ray 3: A ray from the top of the object passing through the left focal point F, and after passing the lens, it becomes parallel to the principal axis.
03

Locate and draw the image

The point where the three principal rays meet after passing through the lens is the image location. Draw the image (label it as I) by connecting the intersection point to the principal axis. Note that Ray 2 and Ray 3 might not intersect in the diagram perfectly when drawn, but their extended lines will intersect.
04

Verify the image properties

Now, analyze the sketch to identify the image properties: 1. Inverted: The image I is located below the principal axis, so it is inverted. 2. Real: The three principal rays intersect at the image location. Since these rays physically converge at a point, the image is real. 3. Enlarged: Compare the height of the image I to the height of the object O. In this case, the image I is larger than the object, so the image is enlarged in size. The ray diagram now confirms that when an object is placed between twice the focal length and the focal length from a converging lens, the image formed is inverted, real, and enlarged in size.

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Most popular questions from this chapter

(a) Sunlight reflected from the still surface of a lake is totally polarized when the incident light is at what angle with respect to the horizontal? (b) In what direction is the reflected light polarized? (c) Is any light incident at this angle transmitted into the water? If so, at what angle below the horizontal does the transmitted light travel?
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