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AP Physics 2
13.2 Images Formed by Mirrors
AdvancedMCQMathematicalConceptual18.6k
A horizontal axis line extends across the center. On the left, a concave mirror is shown as a vertical arc curving inward to the right, labeled Concave mirror. On the right, facing it, a convex mirror is shown as a vertical arc curving outward to the right, labeled Convex mirror. The separation between the mirrors is marked as 2d with a horizontal dimension arrow below the axis. Exactly midway between the mirrors, an upright vertical arrow represents an object, labeled Object. Horizontal arrows above the axis mark distance d from the object to the concave mirror, and distance d from the object to the convex mirror. Both mirrors are labeled as having focal magnitude f. No rays or images are shown. No other labels, lines, text, or axes appear.
An object placed midway between a coaxial concave mirror and convex mirror.
A concave mirror and a convex mirror, each having a focal magnitude \(f\), are placed coaxially facing each other separated by a distance \(2d\), where \(d > f\). A small object is placed on the principal axis midway between the two mirrors, at a distance \(d\) from each mirror. The mirrors form primary images directly from light emitted by the object. Which row in the table correctly identifies the ratio of the magnitudes of the primary image distances, \(\left|\dfrac{d_{i,\text{concave}}}{d_{i,\text{convex}}}\right|\), and the relative orientation of the two primary images?

RowRatio of Image DistancesRelative Orientation
A\(\dfrac{d - f}{d + f}\)Inverted relative to each other
B\(\dfrac{d - f}{d + f}\)Same orientation as each other
C\(\dfrac{d + f}{d - f}\)Inverted relative to each other
D\(\dfrac{d + f}{d - f}\)Same orientation as each other

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