In a double-slit experiment the slit width is and the separation is

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

In a double-slit experiment the slit width is a=0.08 mma = 0.08\,\text{mm} and the separation is d=0.32 mmd = 0.32\,\text{mm}. The apparatus is illuminated with light of wavelength λ=640 nm\lambda = 640\,\text{nm}. Using the small-angle approximation, at what angle θ\theta (measured from the central axis) will the first missing interference maximum occur? (a) 0.11∘0.11^{\circ} (b) 0.22∘0.22^{\circ} (c) 0.44∘0.44^{\circ} (d) 0.06∘0.06^{\circ}

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