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A Newton’s Rings interferometer uses a plano-convex lens having refractive index � = 1.523 and a...

A Newton’s Rings interferometer uses a plano-convex lens having refractive index � =
1.523 and a sodium source with � = 589 nm. The laterally moving microscope finds the
radius of the 6th dark fringe to be equal to 7 mm. (a) Determine the focal length of the
plano-convex lens. (b) A drop of coconut oil (n = 1.46) fills the space between the
curved surface of the lens and the flat surface of the mirror determine the radii of the third
and 10th dark fringes.

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