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In the illustration above, two glass plates have a very slight angle between them because a speck of dust props up one edge of the top plate. When illuminated from above with light of wavelength 546 nm, eleven dark interference fringes are observed (counting from zero at the left edge).

a. Find the height of the dust speck.

b. Find the angle (in degrees) between the plates if their diameters are 2.00 cm.

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