Learning Goal: Consider an object located at position P in front of a concave mirror whose center of curvature is at position C, as shown in (Figure 1). Draw a principal-ray diagram to determine the size and position of the reflected image. Figure P ç 1 of 1

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Chapter1: Units, Trigonometry. And Vectors
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Learning Goal: Consider an object located at position P in front of a concave mirror whose center of curvature is at position C, as shown in (Figure 1). Draw a principal-ray diagram to determine the size and position of the reflected image. The diagram below shows the incoming principal rays identified in the previous part, as they diverge from the tip of the object Q . Draw the corresponding outgoing rays upon reflection. This will enable you to find graphically the image of the object, which you should draw in the form of an arrow perpendicular to the axis of the mirror. Try to be precise when you draw your rays. Recall that principal-ray diagrams must be drawn accurately to give good results!

 

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**Learning Goal:**

Consider an object located at position \( P \) in front of a concave mirror whose center of curvature is at position \( C \), as shown in Figure 1. Draw a principal-ray diagram to determine the size and position of the reflected image.

**Figure Explanation:**

The diagram on the left shows a concave mirror with a schematic representation of the object at position \( P \), marked by the vertical line \( PQ \). The center of curvature \( C \) is indicated along the principal axis, with the mirror's vertex \( V \).

In the right diagram, three principal rays are used to locate the image:
- **Ray \( Vi \):** A ray parallel to the principal axis from point \( Q \) reflects through the focal point.
- **Ray \( Vr \):** A ray from \( Q \) passing through the center of curvature \( C \) reflects back on itself.
- **Ray \( Cr \):** A ray passing through the focal point reflects parallel to the principal axis.

The intersection of these reflected rays determines the position and size of the image, denoted by a red arrow labeled "image".

**Instructions:**

Select the elements from the list and add them to the canvas, setting the appropriate attributes to complete the ray diagram.
Transcribed Image Text:**Learning Goal:** Consider an object located at position \( P \) in front of a concave mirror whose center of curvature is at position \( C \), as shown in Figure 1. Draw a principal-ray diagram to determine the size and position of the reflected image. **Figure Explanation:** The diagram on the left shows a concave mirror with a schematic representation of the object at position \( P \), marked by the vertical line \( PQ \). The center of curvature \( C \) is indicated along the principal axis, with the mirror's vertex \( V \). In the right diagram, three principal rays are used to locate the image: - **Ray \( Vi \):** A ray parallel to the principal axis from point \( Q \) reflects through the focal point. - **Ray \( Vr \):** A ray from \( Q \) passing through the center of curvature \( C \) reflects back on itself. - **Ray \( Cr \):** A ray passing through the focal point reflects parallel to the principal axis. The intersection of these reflected rays determines the position and size of the image, denoted by a red arrow labeled "image". **Instructions:** Select the elements from the list and add them to the canvas, setting the appropriate attributes to complete the ray diagram.
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