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The law of reflection (23-1)

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Question

When light reflects at the boundary between two media, the angle of the reflected ray from the normal...

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Review

The line BB in Figure 23-4a is perpendicular to the incident wave front and so points in the direction of the incident ray. Likewise, the line AA is perpendicular to the reflected wave front and so points in the direction of the reflected ray. We can determine how these directions are related to each other by noticing that the triangles ABB and AAB are both right triangles, both have the same hypotenuse of length AB, and both have one side of length v1Δt (Figure 23-4b). You can see that these two right triangles are identical, except that triangle AABhas been flipped left-to-right compared to triangle ABB9. So the angle θ1 of the line AA measured from the vertical (that is, from the normal to the boundary) must be the same as the angle θ1 of the line BB measured from the vertical. We conclude that