Now you will complete the ray tracing diagram for an object that is closer than the focal length: focal point f Answer the following based on your ray tracing: (a) is the image real or virtual? (b) is the image larger or smaller than the object? focal point

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**Title: Understanding Ray Tracing in Lenses**

When considering the location of images formed by lenses, we often like to employ ray tracing diagrams. To do this, we draw three rays of light and see where they intersect.

1. A ray parallel to the axis refracts through the far focal point.
2. A ray that enters the lens along a line through the near focal point emerges parallel to the axis.
3. A ray through the center of the lens does not bend.

This method was shown to you in class for the following situation:

An object and converging lenses with the distance to the object being greater than the focal length, \(d_o > f\).

**First Diagram Explanation:**

- A converging lens is displayed with an object on the left and an image on the right.
- The object and image are represented as arrows.
- Rays of light are shown:
  - The first ray (orange) travels parallel to the principal axis and refracts through the far focal point.
  - The second ray (purple) passes through the near focal point, refracts, and continues parallel to the principal axis.
  - The third ray (red) continues straight through the center of the lens without bending.
- The intersection of these rays on the right side of the lens shows the location of the image.
- The object distance \(d_o\) is greater than the focal length \(f\), resulting in a real, inverted image on the opposite side.

**Next Task:**

Now you will complete the ray tracing diagram for an object that is closer than the focal length:

**Second Diagram:**

- The diagram shows an incomplete ray tracing setup with an object closer to the lens than the focal length.
  
**Questions for Ray Tracing Activity:**

(a) Is the image real or virtual?

(b) Is the image larger or smaller than the object? 

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This exercise helps understand how lenses form images at different object distances.
Transcribed Image Text:**Title: Understanding Ray Tracing in Lenses** When considering the location of images formed by lenses, we often like to employ ray tracing diagrams. To do this, we draw three rays of light and see where they intersect. 1. A ray parallel to the axis refracts through the far focal point. 2. A ray that enters the lens along a line through the near focal point emerges parallel to the axis. 3. A ray through the center of the lens does not bend. This method was shown to you in class for the following situation: An object and converging lenses with the distance to the object being greater than the focal length, \(d_o > f\). **First Diagram Explanation:** - A converging lens is displayed with an object on the left and an image on the right. - The object and image are represented as arrows. - Rays of light are shown: - The first ray (orange) travels parallel to the principal axis and refracts through the far focal point. - The second ray (purple) passes through the near focal point, refracts, and continues parallel to the principal axis. - The third ray (red) continues straight through the center of the lens without bending. - The intersection of these rays on the right side of the lens shows the location of the image. - The object distance \(d_o\) is greater than the focal length \(f\), resulting in a real, inverted image on the opposite side. **Next Task:** Now you will complete the ray tracing diagram for an object that is closer than the focal length: **Second Diagram:** - The diagram shows an incomplete ray tracing setup with an object closer to the lens than the focal length. **Questions for Ray Tracing Activity:** (a) Is the image real or virtual? (b) Is the image larger or smaller than the object? --- This exercise helps understand how lenses form images at different object distances.
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