All Problems

Diffraction of Light

Problem 5.121

Light with wavelength λ=0.50μm\lambda=0.50 \mu \mathrm{m} falls on a slit of width b=10μmb=10 \mu \mathrm{m} at an angle θ0=30∘\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(sin⁡θ−sin⁡θ0)=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}
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