Interference fringe pattern on a thin cut cylinder slice

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Anurag98
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A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown in the figure. The observed interference fringes from this combination shall be ______.

My thoughts
The thin slice will act as thin film but of half cylindrical shape and the light pass in the thin slice will first get refraced from the horizontal surface then from the round surface. But after the refraction from round surface, it will be reflected from the plane mirror at the end and it will then follow the same path but in opposite direction.

But, still, I am not able to see any pattern formed.
 

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