All Problems

Diffraction of Light

Problem 5.123

A monochromatic beam falls on a reflection grating with period d=1.0 mmd=1.0 \mathrm{~mm} at a glancing angle α0=1.0.\alpha_{0}=1.0^{\circ} . When it is diffracted at a glancing angle α=3.0\alpha=3.0^{\circ} a Fraunhofer maximum of second order occurs. Find the wavelength of light.

Reveal Answer
λ(α2α02)d/2k=0.6μm\lambda \approx\left(\alpha^{2}-\alpha_{0}^{2}\right) d / 2 k=0.6 \mu \mathrm{m}