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Q.

A ray of light makes an angle of $10 °$ with the horizontal and strikes a plane mirror which is inclined at angle $θ$ to the horizontal. The angle $θ$ for which the reflected ray becomes vertical, is

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a

80 °

b

40 °

c

50 °

d

100 °

answer is A.

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Detailed Solution

Angle between incident ray and reflected ray

= 80 °

i.e., Angle of incidence = Angle of reflection $= 40 °$

angle of reflected ray with mirror $= 90 - 40 = 50 °$

angle with horizontal $= 90 - 50 = 40 °$

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A ray of light makes an angle of 10° with the horizontal and strikes a plane mirror which is inclined at angle θ to the horizontal. The angle θ for which the reflected ray becomes vertical, is