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  4. What should be the angle between two plane mirrors so that whatever be the angle of incidence, the incident ray and the reflected ray from the two mirrors be parallel to each other

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Q. What should be the angle between two plane mirrors so that whatever be the angle of incidence, the incident ray and the reflected ray from the two mirrors be parallel to each other

Ray Optics and Optical Instruments

Solution:

Incident ray and finally reflected ray are parallel to each other means $\delta=180^{\circ}$
image
From $\delta=360^{\circ}-2 \theta$
$ \Rightarrow 180^{\circ}=360^{\circ}-2 \theta \Rightarrow \theta=90^{\circ}$