Angular Width of a Principal Maximum. Consider N evenly spaced, narrow slits. Use the small-angle approximation sin θ = θ (for θ in radians) to prove the following: For an intensity maximum that occurs at an angle θ, the intensity minima immediately adjacent to this maximum are at angles θ + λ/Nd and θ – λ/Nd, so that the angular width of the principal maximum is 2λ/Nd. This is proportional to 1/N, us we concluded in Section 36.4 on the basis of energy conservation.
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