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AP Physics 2
13.4 Images Formed by Lenses
AdvancedMCQMathematicalConceptual18.9k
A single horizontal line spans the figure as the principal axis. Centered on it stands a vertical line segment with outward-pointing arrowheads at both ends, representing a thin converging lens. On each side of the lens, at equal distances along the axis, a short vertical tick is labeled (F). A bold upright arrow with its base on the axis stands exactly halfway between the lens and the left (F) tick, representing the object; it is about half as tall as the lens segment. Exactly four kinds of elements appear: the axis, the lens, the two labeled (F) ticks, and the object arrow. No rays, no dashed lines, no other labels, text, or axes appear.
Ray diagram for an object placed inside the focal point of a converging lens.
An object is placed a distance \(d_o = \dfrac{1}{2}f\) from a thin converging lens of focal length \(f\), as shown in the ray diagram below. A student looks through the lens from the side opposite the object. Which of the following correctly identifies the type of image formed and provides a valid physical justification?

OptionImage TypeJustification
ARealThe light rays are redirected by the converging lens and will eventually intersect at a distance \(f\) on the right side of the lens.
BVirtualThe light rays appear to originate from the left side of the lens, and the image can be captured on a screen placed at the left focal point.
CVirtualThe object is placed inside the focal length, which causes the lens to produce a virtual image at a distance \(0.5f\) from the lens on the same side as the object.
DVirtualThe refracted rays diverge from one another, and the image is located at a distance \(f\) from the lens on the same side as the object.

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