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**Diagram 3: Understanding Light and Mirrors** This diagram illustrates the setup involving a plane mirror and a convex mirror. - **Elements in the Diagram:** - A stick figure represents a person standing in front of the mirrors. - The plane mirror is depicted as a flat, vertical line. This mirror reflects the image of the person. - The convex mirror is shown with a curved surface bulging outward, represented in blue. Convex mirrors diverge light and create virtual images that appear smaller than the actual object. - **Distances:** - \( a \) represents the distance between the person and the plane mirror. - \( b \) is the distance between the plane mirror and the convex mirror. Understanding these mirrors' properties is essential in optics, as they demonstrate how light behaves when reflecting off different surfaces, influencing how images are perceived.
Transcribed Image Text:**Diagram 3: Understanding Light and Mirrors** This diagram illustrates the setup involving a plane mirror and a convex mirror. - **Elements in the Diagram:** - A stick figure represents a person standing in front of the mirrors. - The plane mirror is depicted as a flat, vertical line. This mirror reflects the image of the person. - The convex mirror is shown with a curved surface bulging outward, represented in blue. Convex mirrors diverge light and create virtual images that appear smaller than the actual object. - **Distances:** - \( a \) represents the distance between the person and the plane mirror. - \( b \) is the distance between the plane mirror and the convex mirror. Understanding these mirrors' properties is essential in optics, as they demonstrate how light behaves when reflecting off different surfaces, influencing how images are perceived.
### Problem Description Refer to diagram 3. Suppose the convex mirror behind the plate of partially reflecting glass is changed to a **concave mirror**. This mirror is located 65.6 cm behind the glass and has a focal length of 12.4 cm. A girl stands at a distance \( a \) from the glass, creating a **virtual image** in the glass (acting as a mirror), and a **real image** created by the concave mirror. ### Task Find the value of \( a \), in cm, which is the distance the girl must stand from the plate of glass so that her two images (the virtual image in the glass and the real image in the concave mirror) coincide.
Transcribed Image Text:### Problem Description Refer to diagram 3. Suppose the convex mirror behind the plate of partially reflecting glass is changed to a **concave mirror**. This mirror is located 65.6 cm behind the glass and has a focal length of 12.4 cm. A girl stands at a distance \( a \) from the glass, creating a **virtual image** in the glass (acting as a mirror), and a **real image** created by the concave mirror. ### Task Find the value of \( a \), in cm, which is the distance the girl must stand from the plate of glass so that her two images (the virtual image in the glass and the real image in the concave mirror) coincide.
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