In an interference arrangement, similar to Young’s double slit experiment, the slits S₁ and S₂ are illuminated with coherent microwave sources, each of frequency 106 Hz. The sources are synchronized to have zero phase difference. The slits are separated by distance d = 150.0 m. The intensity $I_{(θ)}$ is measured as a function of $θ$ , where $θ$ is defined as shown in the figure. If I₀ is maximum intensity, then $I_{(θ)}$ for
$0 \leq θ \leq$ 90 is given by

Question

Infinity Learn · Accepted Answer

For microwavesλ$$=cf=3$$×$$108106=300m$$.Δ$$x=dsin$$⁡θϕ$$=2$$πλdsin⁡θ$$=2$$$$π$$$$300(150sin$$⁡θ$$)=$$π$$sin$$⁡θIθ$$=I0cos2$$⁡π$$sin$$⁡θ$$2$$

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