All Problems

Diffraction of Light

Problem 5.121

Light with wavelength \(\lambda=0.50 \mu \mathrm{m}\) falls on a slit of width \(b=10 \mu \mathrm{m}\) at an angle \(\theta_{0}=30^{\circ}\) to its normal. Find the angular position of the first minima located on both sides of the central Fraunh ofer maximum.

Reveal Answer
 5.121. b(sinθsinθ0)=kλ; for k=+1 and k=1 the  angles θ are equal to 33 and 27 respectively. \begin{aligned} &\text { 5.121. } b\left(\sin \theta-\sin \theta_{0}\right)=k \lambda ; \text { for } k=+1 \text { and } k=-1 \text { the }\\ &\text { angles } \theta \text { are equal to } 33^{\circ} \text { and } 27^{\circ} \text { respectively. } \end{aligned}