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Why the Newton’s rings are circular and fringes in wedge shaped film are straight?
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The Newton’s rings are circular and the fringes in wedge shaped film are straight because :

The shape of the fringe depends on how the thickness of the air film enclosed varies.

In wedge shaped film the thickness of the air is constant over a straight line along the width of the wedge.

Hence the fringes are straight.

In a newtons ring set up the air film is enclosed below the convex lens. The thickness of the film is constant over a circle (or concentric circles) having center at the center of the lens.

Hence the fringes are circular.
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