A thin flake of mica is used to cover one slit of a double-slit arrangement. The central point on the screen is occupied by what used to be the seventh bright fringe. If , we have to find the thickness of the mica.
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Solution: Click For PDF Version In the absence of the mica sheet the position of the seventh bright fringe is given by the condition that . Let the thickness of the mica sheet be . The refractive index of mica is . When the mica sheet is inserted as shown in the figure, the optical path corresponding to ray gets changed to . It is given that after the mica sheet has been inserted, the central point on the screen is occupied by what used to be the seventh bright fringe. Therefore, we have
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