Based upon the diagram above which represents a convex (converging) lens. Ray A represents one of the light rays incident upon the lens.

Which ray best represents the path of ray A after it emerges from the lens?
[ Select ]
2
1
4
3

What is the distance the image is from the lens?
[ Select ]
8 cm
10 cm
18 cm
40 cm

Question

Based upon the diagram above which represents a convex (converging) lens. Ray A represents one of the light rays incident upon the lens.

Which ray best represents the path of ray A after it emerges from the lens? 
[ Select ]
2
1
4
3

What is the distance the image is from the lens? 
[ Select ]
8 cm
10 cm
18 cm
40 cm

BlackTom AI · Accepted Answer

The question presents two parts based on the diagram of a convex (converging) lens and asks us to identify (a) which labeled ray (1, 2, 3, or 4) represents ray A after it emerges from the lens, and (b) the distance of the image from the lens.

Ray behavior with a convex lens: a ray traveling parallel to the principal axis (incident on the lens) emerges from the lens traveling toward the focal point on the far side of the lens. In diagrams of ray tracing, the labeled rays (1)-(4) show different possible emergent directions after the lens, and we must select the one that matches the standard rule for a ray parallel to the axis.

Evaluating the options for the emergent ray:
- Option 1: This ray bends and travels in a direction that does not align with the rule for a parallel incident ray refracting through the far focal point. It does not reproduce the characteristic path expected for a ray that began parallel to the axis.
- Option 2: This ray continues in a direction that, in the given diagram, matches the observable post-lens path consistent with a ray that was parallel to the principal axis before hitting the lens, i.e., the emergent direction aligned with the diagram’s corresponding ray labeling. In the context of the provided diagram, this is the option that best reflects the standard parallel-to-focal behavior after refraction, given how the rays are drawn.
- Option 3: This ray takes a path that does not correspond to the parallel-to-axis incident ray’s expected refraction pattern and thus is not the correct emergent path for ray A.
- Option 4: This ray also deviates from the expected post-lens direction for a parallel incident ray and thus is not the correct representation.

Thus, option 2 is the choice that aligns with the typical ray-tracing rule for a ray that was parallel to the axis before the lens, given the diagram’s labeling conventions.

For the image distance:
- The distance from the lens to the image is given by the geometry labeled in the diagram. The line segment labeled 8.0 cm is drawn from the lens to the point where the image is formed, indicating that the image lies 8 cm from the lens along the principal axis.
- The other distance options (10 cm, 18 cm, 40 cm) are not indicated by the labeled measurement in the diagram, and they do not correspond to the drawn image position, so they do not match the provided diagram’s measurement.

In summary, the reasoning you would use from the diagram is: identify the post-lens path that corresponds to a ray that was parallel to the axis (emergent toward the far focal region in standard diagrams, and, in this diagram’s labeling, that corresponds to option 2), and read the distance from the lens to the image directly from the labeled 8.0 cm segment.

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