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Asked by adjacentcalliber10 | 07 May, 2019, 10:13: AM
answered-by-expert Expert Answer
If the reflected ray gets deviation θ, then mirror has turned an angle θ/2 .
 
Let t is the time taken by light ray starting from rotating mirror and getting reflected by fixed mirror
and then again reflected by roataing mirror.
 
In this time t light travelled a distance 2D with speed c ,  hence  t = 2D/c  ...................( 1)
 
since mirror has turned an angle θ/2 in time t, its angular velocity ω = θ/(2t)  ...............(2)
 
since ω = 2πf , where f is frequency of rotation of mirror, then we have   2πf = θ/(2t)    or   t = θ/(4πf)  ...............(3)
 
By equating (1) and (3), we get,   c = 8πfD/θ
Answered by Thiyagarajan K | 07 May, 2019, 17:01: PM

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