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In an interfrence arrangement similar to Young's double-slit experiment, the slits \( S_{1} \& S_{2} \) are illuminated with coherent microwave sources, each of frequency \( 10^{6} \mathrm{~Hz} \). The sources are synchronized to have zero phase difference. The slits are separated by a distance \( d=150.0 \mathrm{~m} \) and screen is at very large distance from slits. The intensity \( I(\theta) \) is measured as a function of \( \theta \), where \( \theta \) is defined as shown. Screen is at a large distance. If \( \mathrm{l}_{0} \) is the maximum intensity then I \( (\theta) \) for \( 0 \leq \theta \leq 90^{\circ} \) is given by:
(A) \( I(\theta)=\frac{I_{0}}{2} \) for \( \theta=30^{\circ} \)
(B) \( I(\theta)=\frac{I_{0}}{4} \) for \( \theta=90^{\circ} \)
(C) \( I(\theta)=I_{0} \) for \( \theta=0^{\circ} \)
(D) \( I(\theta) \) is constant for all values of \( \theta \).
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