Two plane mirrors are inclined at 70 degree

Asked by admin @ 29/08/2021 in Physics viewed by 321 People

Two plane mirrors are Inclined at an angle of 70°.A ray of Light is Incident on One Mirror with an Incident angle THETA,after reflection falls on second Mirror and is reflected from there Parallel to first Mirror.The Value of Theta is?

Answered by admin @ 29/08/2021

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

The value of theta = 50 deg.

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