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AP Physics 2
13.4 Images Formed by Lenses
AdvancedMCQGraphicalProportional AnalysisConceptual20.4k
A quantitative plot with a horizontal axis labeled 1/d_o and a vertical axis labeled 1/d_i, meeting at an origin labeled 0. A solid straight line extends from a point on the vertical axis marked 1/f_1 down and to the right to a point on the horizontal axis marked 1/f_1, forming a line with a slope of -1. Tick marks indicate equal spacing on both axes. No other labels, lines, text, or axes appear.
Inverse image distance vs. inverse object distance for initial lens.
A student uses a thin converging lens to form real images of an object placed at various distances. The student plots the inverse of the image distance \(\dfrac{1}{d_i}\) as a function of the inverse of the object distance \(\dfrac{1}{d_o}\), obtaining the solid line shown in the graph with intercepts at \(\dfrac{1}{f_1}\). The student then replaces the lens with a second thin converging lens having focal length \(f_2 = 2f_1\). Which of the following graphs best represents the relationship for the second lens (dashed line) compared to the original lens (solid line)?

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