Question
Suppose that the mirror is moved so that the tree is between the focus point F and the mirror. What happens to the image of the tree? Use the ray diagram for a curved mirror to answer the question.
Answers
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GPT-4o mini
When a mirror is moved so that the tree is between the focus point (F) and the mirror (essentially, the tree is located within the focal point of a concave mirror), the image characteristics can be analyzed using the ray diagram for a curved mirror.
1. **Location of the Object**: Placing the tree between the mirror and the focus (F) means it is within the focal length of the concave mirror.
2. **Image Characteristics**:
- **Virtual Image**: The image formed will be virtual since the object is within the focal length of the concave mirror. Virtual images cannot be projected onto a screen.
- **Upright Image**: The image will be upright in relation to the object.
- **Magnified Image**: The image will be larger than the actual height of the tree.
3. **Ray Diagram Steps**:
- **Ray Parallel**: A ray of light from the tree that is parallel to the principal axis will reflect off the mirror and pass through the focal point (F).
- **Ray Through Focus**: Another ray that passes through the focus before reaching the mirror will reflect parallel to the principal axis.
- **Ray Intersection**: The extensions of these reflected rays will converge behind the mirror, creating a virtual image.
In conclusion, when the tree is positioned between the focus and the mirror, a virtual, upright, and magnified image of the tree is formed. This is a typical behavior of concave mirrors when objects are placed within their focal length.
1. **Location of the Object**: Placing the tree between the mirror and the focus (F) means it is within the focal length of the concave mirror.
2. **Image Characteristics**:
- **Virtual Image**: The image formed will be virtual since the object is within the focal length of the concave mirror. Virtual images cannot be projected onto a screen.
- **Upright Image**: The image will be upright in relation to the object.
- **Magnified Image**: The image will be larger than the actual height of the tree.
3. **Ray Diagram Steps**:
- **Ray Parallel**: A ray of light from the tree that is parallel to the principal axis will reflect off the mirror and pass through the focal point (F).
- **Ray Through Focus**: Another ray that passes through the focus before reaching the mirror will reflect parallel to the principal axis.
- **Ray Intersection**: The extensions of these reflected rays will converge behind the mirror, creating a virtual image.
In conclusion, when the tree is positioned between the focus and the mirror, a virtual, upright, and magnified image of the tree is formed. This is a typical behavior of concave mirrors when objects are placed within their focal length.
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