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Two plane mirrors M(1) and M(2) are in...

Two plane mirrors `M_(1) ` and `M_(2)` are inclined at angle as shown in Figure . A ray of light1, which is parallel to `M_(1)` , strike `M_(2)` and after two reflections, ray 2 becomes parallel to `M_(2)`. Find the angle `theta` .

Text Solution

Verified by Experts

Different angles are as shown in the figure below.
In triangle ABC
`theta+theta+theta=180^@`
`:. theta =60^@`
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Knowledge Check

  • Two plane mirror M_(1) and M_(2) area inclined at angle theta as shown. A ray of light 1, which is parallel to M_(1) strikes M_(2) and after two reflection , the ray 2 become parrallel to M_(2) .Find the angle theta

    A
    `theta=60^(@)`
    B
    `theta=90^(@)`
    C
    `theta=45^(@)`
    D
    `theta=120^(@)`

  • Two plane mirrors are inclined at angle theta as shown in figure. If a ray parallel to OB strikes the other mirror at P and finally emerges parallel to OA after two reflections then theta is equal to

    A
    `90^(@)`
    B
    `60^(@)`
    C
    `45^(@)`
    D
    `30^(@)`

  • Two mirrors are inclined at angle theta as shown in figure. Light rays are incident parallel to one of mirrors. Light will start retracing its path after the reflection if

    A
    `theta = 45^(@)`
    B
    `theta = 30^(@)`
    C
    `theta = 60^(@)`
    D
    all three