diffraction through a single slit

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Are the minimum points supposed to completely touch the horizontal axis. Or is there no cancellation in this case, reduction in amplitude instead? Also is adding an integral algebraic term for the formula optional and/or wrong. (M + 1/2) ¿
¿ Is lambda... Great video btw

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Why cant you look at two points, d distance apart to get dsin(theta) = lambda/2 for a minimum?

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