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CBSE Class 12-science Answered

Please explain it's solution
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Asked by Sumantarout.200 | 12 Oct, 2019, 07:02: PM
answered-by-expert Expert Answer
Let AO be the horizontal plane mirror . OR is another mirror kept so that ray PQ will be reflected by this second mirror
in a such a way that final reflected ray is horizontal .
 
Incident ray PQ makes angle of incidence 45° , hence angle of reflection for reflected ray QR also 45° .
 
Since it is required that final reflected ray is horizontal, i.e., parallel to mirror AO,
hence begin mathsize 14px style angle end styleQRS is 45° ( refer figure ).
Ray QR incident on second mirror with angle of incidence 22.5° and is getting reflected with angle of reflection 22.5°.
 
By symmetry begin mathsize 14px style angle end styleQRO will be 67.5°
Hence angle between mirrors, begin mathsize 14px style angle end styleROQ = 180° - ( begin mathsize 14px style angle end styleRQO + begin mathsize 14px style angle end styleQRO ) = 180° - (67.5° + 45° ) = 67.5°
Answered by Thiyagarajan K | 12 Oct, 2019, 08:03: PM

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