In an interference arrangement similar to Young's double slit experiment, the slits $S_{1}$ and $S_{2}$ are illuminated with coherent microwave sources each of frequency $10^{6} H z .$ The sources are synchronized to have zero phase difference. The slits are separated by distance $d = 150 m .$ The intensity $I (θ)$ is measured as a function of $θ,$ where $θ$ is defined as shown. If $I_{0}$ is maximum intensity, then $I (θ)$ for $0 \leq θ \leq 90^{o}$ is given by

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$I (θ) = I_{0} f o r θ = 0^{o}$

$I (θ) = I_{0} / 4 f o r θ = 90^{o}$

$I (θ) = I_{0} / 2 f o r θ = 30^{o}$

$I (θ)$ is constant for all values of $θ$

answer is A, B.

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Detailed Solution

For microwave $λ = \frac{c}{f} = \frac{3 \times 10^{8}}{10^{6}} = 300 m$

As $Δ x = d \sin θ$

Phase difference $φ = \frac{2 π}{λ}$ (Path difference)

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