All Problems

Diffraction of Light

Problem 5.127

Find the wavelength of monochromatic light falling normally on a diffraction grating with period d=2.2μmd=2.2 \mu \mathrm{m} if the angle between the directions to the Fraunhofer maxima of the first and the second order is equal to Δθ=15∘\Delta \theta=15^{\circ}.

Reveal Answer
λ=(dsin⁡Δθ)/5−4cos⁡Δθ=0.54μm\lambda=(d \sin \Delta \theta) / \sqrt{5-4 \cos \Delta \theta}=0.54 \mu \mathrm{m}
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