A diffraction pattern is produced by light on a single slit of width 2

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A diffraction pattern is produced by light on a single slit of width 2.19 mm. The distance from the central maximum and the first dark fringe is y1. A similar diffraction pattern is produced by the same light on a single slit of width 3.87 mm but the distance to the first dark fringe is y2. What is the ratio of the two first order dark fringes, y1/y2? Assume that the angle between the central axis maximum and the first order minimum for both slits is small.

$A diffraction pattern is produced by light on a single slit of width 2.19 mm. The distance from the central maximum and the first dark fringe is y1. A similar diffraction pattern is produced by the same light on a single slit of width 3.87 mm but the distance to the first dark fringe is y2. What is the ratio of the two first order dark fringes, y1/y2? Assume that the angle between the central axis maximum and the first order minimum for both slits is small.$

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A diffraction pattern is produced by light on a single slit of width 2.19 mm. The distance from the central maximum and the first dark fringe is y1. A similar diffraction pattern is produced by the same light on a single slit of width 3.87 mm but the distance to the first dark fringe is y2. What is the ratio of the two first order dark fringes, y1/y2? Assume that the angle between the central axis maximum and the first order minimum for both slits is small.

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