A plano convex lens with a radius of curvature of 2.00 m is resting on an optica

Question

A plano convex lens with a radius of curvature of 2.00 m is resting on an optical flat. When it is illuminated with green light of wavelength lambda = 5460.72 Angstroms, Newton's rings can be seen. We shall call the central dark spot the zeroeth "dark ring" and assign it order number m = 0. The next dark ring has order number m = 1, and so on. Calculate the radius of the 10th bright ring and the diameter of the 10th dark ring. Use one or two complete sentences to explain why the central spot is dark. 

Explanation / Answer

radius of curvature R = 2 m wavelength = 5460.72 A o                    = 5460.72 * 10 ^ -10 m radius of 10 th dark ring r = [ n R]                                        = 330.47 8 10 ^ -5 m radius of 10 th bright ring r ' = [ ( 2n-1 ) R ( / 2 ) ]                                            = 322.1 * 10 ^ -5 m Central spot is dark .because the only path difference is thatintroduced due to reflection at denser medium.i.e. / 2

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