Consider a two slit interference pattern, for which the intensity distribution is given by Eq (35 14) Let m be the angular position of the mth bright fringe, where the intensity is 10, Assume that m is small, so that sin m m Let m and m be the two angles on either side of m for which I I0 The quantity m m m is the half width of the mth fringe Calculate a m How does m depend on m

Question: Consider a two-slit interference pattern, for which the intensity distribution is given by Eq. (35.14). Let m be the angular position of the mth bright

Consider a two-slit interference pattern, for which the intensity is given by Eq. (35.14). Let θm be the angular position of the mth bright fringe, where the intensity is 10, Assume that θm is small, so that sin θm ≡ θm. Let θm+ and θm– be the two angles on either side of θm for which I = ½ I0. The quantity ∆ θm = | θm+ – θm–| is the half-width of the mth fringe. Calculate a θm. How does ∆θm depend on m?

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