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Two plane mirror are inclined at an angl...

Two plane mirror are inclined at an angle `theta`. A light ray incident on one of the mirror undergoes multiple reflections. The angle of incidence on the first mirror is `15^(@)`. After reflection from the second mirror, if the light ray retraces its path, determine the volue of `theta`.

Text Solution

Verified by Experts

`angleOAB=90-15=75^(@)`
(`:.` angle of incidence = angle of reflection)

In `DeltaOAB,angleOAB+angleAOB+angleABO=180^(@)`
`75+theta+90=180^(@)`
`impliestheta=180-165`
`=15^(@)`
(`:.` The light ray retraces its path only if it incident along the normal)
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Knowledge Check

  • Two plane mirror are inclined to each other at 90^(@) . A ray of light is incident on one mirror. The ray will undergo a total deviation of

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