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  4. Two plane mirrors M 1 and M2 are inclined at angle θ as shown in the figure. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/87ea0999f73b1d40fb3d9944a80e1b63-.png /> A ray of light 1, which is parallel to M1 strikes M2 and after two reflections, the ray 2 becomes parallel to M2. The angle θ is

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Q. Two plane mirrors $M _1$ and $M_2$ are inclined at angle $\theta$ as shown in the figure.
image
A ray of light $1$, which is parallel to $M_1$ strikes $M_2$ and after two reflections, the ray $2$ becomes parallel to $M_2$. The angle $\theta$ is

Ray Optics and Optical Instruments

Solution:

Different angles are as shown in figure.
image
In triangle $ABC$,
$ \theta + \theta+ \theta = 180^{\circ}$,
$ \theta = 60^{\circ}$