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For diffraction patterns, the simple relation for the angle corresponding to dark fringes is sinθ

_{d}= mλ/a, in which a is the width of the slit and m = {all integers excluding 0}. From this, it appears that a slit only allows certain wavelengths (a slit width corresponding to a length equal to an integer multiple of the wavelength). Is this true...and if so...why (the direction of propagation of the wave is perpendicular to the slit, so how would the width of the slit have such an influence)?
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