Considering only two rays is more convenient for the clarity of the ray diagram. While an infinite number of rays could originate from each small portion of the extended object, choosing two specific rays simplifies the construction of the diagram. This approach allows for an easier understanding of the directions of reflection after interacting with the mirror.
Why is it more convenient to consider only two rays when constructing ray diagrams for locating the image of an extended object in front of a spherical mirror?
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Considering only two rays when constructing ray diagrams for spherical mirrors enhances clarity, simplicity, and efficiency in understanding image formation. An extended object consists of countless points, each emitting rays that can be reflected by the mirror. Selecting only two representative rays, such as those parallel to the principal axis and passing through the focal point, simplifies the diagram and aids in comprehending the reflective properties of the spherical mirror. This strategic simplification aligns with the laws of reflection, ensuring that the chosen rays illustrate the essential characteristics of image formation. The approach strikes a balance between accuracy and manageability, facilitating a clearer visualization of how light rays interact with the mirror surface and converge or diverge to create the image, making the study of spherical mirrors more accessible and comprehensible.