The diagram below shows a light ray parallel to the principal axis of a spherical convex (diverging) mirror. Point F is the virtual focal point of the mirror and C is the center of curvature.

After the light ray is reflected, it will pass through point

Question

The diagram below shows a light ray parallel to the principal axis of a spherical convex (diverging) mirror. Point F is the virtual focal point of the mirror and C is the center of curvature.

After the light ray is reflected, it will pass through point

BlackTom AI · Accepted Answer

The question describes a light ray that is parallel to the principal axis of a convex (diverging) mirror with F as the virtual focal point and C as the center of curvature. We are asked to identify through which point the reflected ray will pass after reflection, according to the diagram provided.

Option D: If we observe the diagram, the reflected ray is drawn so that its direction, when extended backward toward the left, would pass through the point marked D above the axis. In many ray diagrams for spherical mirrors, a parallel incident ray reflects in such a way that the line of the reflected ray appears to diverge from a focal point along an extension; in the depicted setup, the construction places the refracted (reflected, extended) line so that its backward extension crosses at D. This is consistent with how ray-tracing conventions are sometimes rendered in simple diagrams where the apparent path is traced until it intersects a labeled point above the axis.

Option A: The point A lies on the principal axis nearer to the mirror. The path of a single reflected ray from a parallel incident ray typically is described relative to the focal point F or the axis, not a point labeled A on the axis. Therefore, selecting A would not align with the standard interpretation of where the reflected ray appears to pass after reflection in this diagram.

Option F: In the text accompanying the diagram, F is mentioned as the virtual focal point of the mirror. For a diverging mirror, a ray parallel to the axis reflects as if it came from F; the line of the reflected ray would appear to emanate from F when extended, not pass through F in the forward sense. If the diagram shows the reflected ray not traveling through F directly, choosing F would contradict the usual forward path of a reflected ray in the drawing, though backward extension leads to F.

Option C: C is the center of curvature. For a convex (diverging) mirror, a single reflected ray does not pass through the center of curvature in the standard ray-tracing sense for a parallel incident ray. The center of curvature is more associated with rays aimed toward it or with the geometric property of the mirror, not the immediate reflected direction of a parallel incident ray.

In summary, each option corresponds to a common candidate point often used in mirror ray diagrams, but only one of them is depicted in this specific diagram as the endpoint through which the reflected ray (or its extension) is shown to pass. The reasoning above contrasts how each labeled point relates to the reflected ray in typical spherical-mirror constructions and the figure’s labeling. The key takeaway is to match the direction of the reflected ray and any drawn extensions to the labeled intersection point on the diagram, recognizing the convention used for diverging mirrors and virtual rays.

The diagram below shows a light ray parallel to the principal axis of a spherical convex (diverging) mirror. Point F is the virtual focal point of the mirror and C is the center of curvature. After the light ray is reflected, it will pass through point

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