A monochromatic laser passes through a narrow slit

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

Problem

A monochromatic laser passes through a narrow slit, and a detector records the intensity as a function of angle. Intensity minima occur at θ=±1.5∘\theta=\pm1.5^{\circ}, ±3.0∘\pm3.0^{\circ}, and ±4.5∘\pm4.5^{\circ}. Which assignment of integer order mm to these three distinct minima is most consistent with the single-slit diffraction model? (a) m=0, 1, 2m=0,\,1,\,2 respectively for the minima at 1.5∘1.5^{\circ}, 3.0∘3.0^{\circ}, and 4.5∘4.5^{\circ}. (b) m=1, 3, 5m=1,\,3,\,5 respectively for the minima at 1.5∘1.5^{\circ}, 3.0∘3.0^{\circ}, and 4.5∘4.5^{\circ}. (c) m=1, 2, 3m=1,\,2,\,3 respectively for the minima at 1.5∘1.5^{\circ}, 3.0∘3.0^{\circ}, and 4.5∘4.5^{\circ}. (d) m=2, 4, 6m=2,\,4,\,6 respectively for the minima at 1.5∘1.5^{\circ}, 3.0∘3.0^{\circ}, and 4.5∘4.5^{\circ}.

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