(Solution) - In Figure a light wave along ray r1 reflects once from a -(2025 Original AI-Free Solution)

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In Figure a light wave along ray r1 reflects once from a mirror and a light wave along ray r2 reflects twice from that same mirror and once from a tiny mirror at distance L from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength 620 nm and are initially in phase.
(a) What is the smallest value of L that puts the final light waves exactly out of phase?
(b) With the tiny mirror initially at that value of L/?, how far must it be moved away from the bigger mirror to again put the final waves out of phase?