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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 intensityI(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
 0θ90 is given by

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a
I(θ)=I0 for θ=0∘
b
I(θ)=I0/2 for θ=30∘
c
I(θ)=I0/4 for θ=90∘
d
I(θ) is constant for all values of θ

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detailed solution

Correct option is A

For microwavesλ=cf=3×108106=300m.Δx=dsin⁡θϕ=2πλdsin⁡θ=2π300(150sin⁡θ)=πsin⁡θIθ=I0cos2⁡πsin⁡θ2
ctaimg

ctaimg

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