p35_005

# p35_005 - 5. Consider a single ray from the source to the...

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Unformatted text preview: 5. Consider a single ray from the source to the mirror and let θ be the angle of incidence. The angle of reﬂection is also θ and the reﬂected ray makes an angle of 2θ with the incident ray. Now we rotate the mirror through the angle α so that the angle of incidence increases to θ + α. The reﬂected ray now makes an angle of 2(θ + α) with the incident ray. The reﬂected ray has been rotated through an angle of 2α. If the mirror is rotated so the angle of incidence is decreased by α, then the reﬂected ray makes an angle of 2(θ − α) with the incident ray. Again it has been rotated through 2α. The diagrams below show the situation for α = 45◦ . The ray from the object to the mirror is the same in both cases and the reﬂected rays are 90◦ apart. . . . . . . . . . . . . . . . . . . . .... .... . ... .... . .... .... . . .... .... . ... .... . . .... .... . ... .... . .... .... . . .... .... ... . .... . .... .... . ... ... . .... ... . . . .... .... .... .... ........... ... ... ... ... ......... ..... ... . .... . .. . .. .... . .... . .... . .... . .... . .... . . .... .... . . ........ . ....... . . . . ...... . .... ....... . . . . . . . . . O• •I θ θ • I .. .. . ... ... .. ... ... .. ... ... . ... ... .. .. ... ... . ... ... .... .... ... ... .. .... .... ... .. ... . .... .... ... .... . .... .... .... .. .... ... . .... .. . .... .. . .... ... .... ... ...... ...... ... .... ... . . ... . ...... ..... . .. ....... .. .. ... . . .. .... .. .... ... ... .. ... .. .... . .. .... .. .... ... ... ... .. . .. . . . . .. .. ..... ..... . ... ... . . . O• θ+α θ+α ...
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