Question

question 5 (essay worth 5 points) (05.04 mc) complete the ray diagram below. a. describe the image characteristics (real or virtual, orientation, size). b. submit your completed ray tracing diagram as an image attachment to this question. ensure your name and today’s date are visible in the image capture. question 6 (essay worth 5 points)

Explanation:

Part (a) Explanation:

To determine the image characteristics for a convex lens (the lens shown, as it's a converging lens, typical for such ray diagrams) with the object placed between the focal point and the lens (let's analyze the object position: the object is at 4.5 cm, lens at 7 cm, so object distance \( u = 7 - 4.5 = 2.5 \) cm, and if we assume focal length \( f \) for a convex lens, when object is within \( f \) (i.e., \( u < f \)):

1. Real or Virtual: When the object is placed within the focal length of a convex lens, the image formed is virtual.
2. Orientation: Virtual images formed by convex lenses (when object is within \( f \)) are upright (same orientation as the object).
3. Size: The image is magnified (larger than the object).

Part (b) Explanation (Ray Tracing Steps):

To complete the ray diagram for a convex lens with the object between the lens and focal point:

1. Ray 1: A ray parallel to the principal axis (from the top of the object) will pass through the focal point on the other side after refraction. But since the object is within \( f \), we extend this refracted ray backward (dashed line) to find the virtual image.
2. Ray 2: A ray passing through the optical center of the lens (the center of the convex lens) will go straight without deviation.
3. Ray 3 (optional): A ray heading toward the focal point on the object side will emerge parallel to the principal axis after refraction. Again, for virtual image, extend backward.

The intersection of the extended refracted rays (dashed lines) gives the virtual, upright, magnified image.

Part (a) Answer:

The image is virtual, upright (same orientation as the object), and magnified (larger than the object).

Part (b) Note:

For the ray tracing diagram, draw the two key rays (parallel to axis, through optical center) from the top of the object, refract them (for the parallel ray, bend toward the focal point on the far side; for the optical center ray, go straight), then extend the refracted rays backward (with dashed lines) until they meet. Label the image, your name, and the date on the diagram before attaching.

Answer:

Part (a) Explanation:

To determine the image characteristics for a convex lens (the lens shown, as it's a converging lens, typical for such ray diagrams) with the object placed between the focal point and the lens (let's analyze the object position: the object is at 4.5 cm, lens at 7 cm, so object distance \( u = 7 - 4.5 = 2.5 \) cm, and if we assume focal length \( f \) for a convex lens, when object is within \( f \) (i.e., \( u < f \)):

1. Real or Virtual: When the object is placed within the focal length of a convex lens, the image formed is virtual.
2. Orientation: Virtual images formed by convex lenses (when object is within \( f \)) are upright (same orientation as the object).
3. Size: The image is magnified (larger than the object).

Part (b) Explanation (Ray Tracing Steps):

To complete the ray diagram for a convex lens with the object between the lens and focal point:

1. Ray 1: A ray parallel to the principal axis (from the top of the object) will pass through the focal point on the other side after refraction. But since the object is within \( f \), we extend this refracted ray backward (dashed line) to find the virtual image.
2. Ray 2: A ray passing through the optical center of the lens (the center of the convex lens) will go straight without deviation.
3. Ray 3 (optional): A ray heading toward the focal point on the object side will emerge parallel to the principal axis after refraction. Again, for virtual image, extend backward.

The intersection of the extended refracted rays (dashed lines) gives the virtual, upright, magnified image.

Part (a) Answer:

The image is virtual, upright (same orientation as the object), and magnified (larger than the object).

Part (b) Note:

For the ray tracing diagram, draw the two key rays (parallel to axis, through optical center) from the top of the object, refract them (for the parallel ray, bend toward the focal point on the far side; for the optical center ray, go straight), then extend the refracted rays backward (with dashed lines) until they meet. Label the image, your name, and the date on the diagram before attaching.