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AP Physics 2
13.3 Refraction
IntermediateMCQMathematicalConceptual16.5k
A Cartesian coordinate graph with horizontal axis labeled \(\sin\theta_X\) and vertical axis labeled \(\sin\theta_Y\). The horizontal axis has major gridlines and tick marks from 0.0 to 1.0 at increments of 0.2, with labels 0.0, 0.2, 0.4, 0.6, 0.8, and 1.0. The vertical axis has major gridlines and tick marks from 0.0 to 1.0 at increments of 0.2, with labels 0.0, 0.2, 0.4, 0.6, 0.8, and 1.0. A straight solid line begins at the origin (0.0, 0.0) and extends upward and to the right, passing exactly through grid intersections at (0.4, 0.5) and (0.8, 1.0). Five filled circular data points are plotted along the line at (0.0, 0.0), (0.2, 0.25), (0.4, 0.5), (0.6, 0.75), and (0.8, 1.0). A dashed light-gray grid covers the plotting region from 0.0 to 1.0 on both axes. No other labels, lines, text, or axes appear.
Graph of \(\sin\theta_Y\) versus \(\sin\theta_X\) for refraction at the boundary between medium X and medium Y.
A beam of monochromatic light travels through medium X and is incident on the flat boundary with medium Y. A student measures the angle of incidence \(\theta_X\) in medium X and the corresponding angle of refraction \(\theta_Y\) in medium Y, creating the graph of \(\sin\theta_Y\) versus \(\sin\theta_X\) shown. Based on the graph, what is the critical angle for total internal reflection for light traveling in medium X toward the boundary with medium Y?

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