All Problems

Diffraction of Light

Problem 5.136

Light with wavelength \(\lambda=589.0 \mathrm{nm}\) falls normally on a diffraction grating with period \(d=2.5 \mu \mathrm{m},\) comprising \(N=\) \(=10000\) lines. Find the angular width of the diffraction maximum of second order.

Reveal Answer
Δθ=2λ/Nd1(kλ/d)2=11\Delta \theta=2 \lambda / N d \sqrt{1-(k \lambda / d)^{2}}=11^{\prime \prime}