Two plane mirrors are inclined at angle 70 . A ray which incident on first mirror at angle of incidence x , comes out of the combination after reflection from the mirrors, parellel to the first mirror find x?
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THETA = b
angle of incidence = b = reflection angle.
Look at the angles in the triangle formed by the reflected ray and the two mirrors.
angle of incidence on the 2nd mirror = 90 - [180- 70 - (90-b) ] = 70 - b
angle between the reflected ray and the mirror (2nd) = b+20.
as it is parallel to the 1st mirror : b+20 = 70
b=50
angle of incidence = b = reflection angle.
Look at the angles in the triangle formed by the reflected ray and the two mirrors.
angle of incidence on the 2nd mirror = 90 - [180- 70 - (90-b) ] = 70 - b
angle between the reflected ray and the mirror (2nd) = b+20.
as it is parallel to the 1st mirror : b+20 = 70
b=50
Answered by
1
X = 70 degree............
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