(If N rulings occupy a total width w, then d = w/N.) The path length difference between adjacent rays is again d sin u, where u is the angle from the central axis of the grating (and of the diffraction pattern) to point P. From the given information, and assuming the screen is far away from the slit, we can use the equation D sin m first to find D, and again to find the angle. The separation d between rulings is called the grating spacing. Light reflection by parallel-sided thin film: constructive interference 2 dn = ( m + 1/2)λ ➔ Solving problems involving interference from thin filmsįringe separation for double slit: s = λ D/dĭiffraction grating equation: nλ = d sinθ An amplitude of zero means zero intesity, and so the first diffraction minimum occurs at a sin T l, or sin T l / a, which was our () above. ➔ Describing conditions necessary for constructive and destructive interference from thin films, including phase change at interface and effect of refractive index where z is the distance from the center of the interference pattern to the mth dark line in the pattern. ➔ Solving problems involving the diffraction grating equation ➔ Sketching and interpreting intensity graphs of double-slit interference patterns ➔ Investigating Young’s double-slit experimentally ➔ Qualitatively describing two-slit interference patterns, including modulation by one-slit diffraction effect ➔ Multiple slit and diffraction grating interference patterns ➔ Modulation of two-slit interference pattern by one-slit diffraction effect ➔ angle between fi rst minimum and central maximu m θ = λ/ a Interference ➔ Qualitatively describing single-slit diffraction patterns produced from white light and from a range of monochromatic light frequencies ➔ Determining the position of first interference minimum ➔ Describing the effect of slit width on the diffraction pattern
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