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  4. A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of 240° . Then, the number of images observable is

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Q. A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of $ 240{}^\circ $ . Then, the number of images observable is

CMC MedicalCMC Medical 2007

Solution:

$ D=360{}^\circ -2\theta , $ $ 240{}^\circ =360{}^\circ -2\theta $ $ 2\theta =120{}^\circ , $ $ \therefore $ $ \theta =60{}^\circ $ Then, number of images observable $ N=\frac{360{}^\circ }{60{}^\circ }-1 $ $ N=6-1 $ $ N=5 $