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In Young's double slit experiment, a bright fringe is observed at $$y=1.5\ \text{cm}$$ from the center of the fringe pattern when monochromatic light of wavelength $$612\ \text{nm}$$ is used. The screen is at $$1.4\ \text{m}$$ from the plane of the two slits, whose separation is $$0.4\ \text{mm}$$. The number of dark fringes between the center and the said bright fringe at $$y=1.5\ \text{cm}$$ is
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