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Two plane mirrors are arranged at right ...

Two plane mirrors are arranged at right angles to each other as shown in figure.A ray of light is incident on the horizontal mirror at an angle `theta`. For what value of `theta`the ray emerges parallel to the incoming ray after reflection from the vertical mirror ?

A

`60^@`

B

`30^@`

C

`45^@`

D

all of these

Text Solution

Verified by Experts

The correct Answer is:
D

The incident and reflected ray make the same angle ‘ Q ’ with the vertical. Therefore they are parallel for any value of `theta`
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Knowledge Check

  • A ray of light is incident at an angle of 35^@ on a plane mirror. What is angle theta ?

    A
    `35^@`
    B
    `45^@`
    C
    `55^@`
    D
    none of these
  • Two mirrors A and B are placed at right angles to each other as shown in Fig.16.4. A ray of light incident on mirror A at an angle of 250 falls on mirror B after reflection. The angle of reflection for the ray reflected from mirror B would be

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    `25^(@)`
    B
    `65^(@)`
    C
    `50^(@)`
    D
    `115^(@)`
  • Two plane mirrors are inclined at an angle theta to one another. A ray of light incident on the first mirror and parallel to the second mirror is reflected from the second mirror parallel to the first mirror. What is the value of theta ?

    A
    a `0^(@)`
    B
    ( b) `45^(@)`
    C
    c `60^(@)`
    D
    d `90^(@)`
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