Q.

A vertical ray of light strikes the reflecting surface of a plane mirror which is inclined to the horizontal at an angle of 45o as shown in figure. If the mirror rotates anticlockwise through an angle of 15o, then the angle of deviation of the reflected ray is 

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a

90o

b

60o

c

30o

d

40o

answer is C.

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Detailed Solution

The reflected ray must be horizontal as shown in figure. If the mirror rotates through 15o, the reflected ray will rotate anticlockwise through 30o. Therefore new angle of deviation will be 180o90o+30oi.e.60o.

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A vertical ray of light strikes the reflecting surface of a plane mirror which is inclined to the horizontal at an angle of 45o as shown in figure. If the mirror rotates anticlockwise through an angle of 15o, then the angle of deviation of the reflected ray is