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  4. In Young's double slit experiment, the constant phase difference between two sources is (π/2). The intensity at a point equidistant from the slits in terms of maximum intensity I0 is.

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Q. In Young's double slit experiment, the constant phase difference between two sources is $\frac{\pi}{2}$. The intensity at a point equidistant from the slits in terms of maximum intensity $I_0$ is.

Wave Optics

Solution:

$I = I_0 \, cos^2 \left( \frac{\theta}{2} \right)$
$I = I_0 \, cos^2 \left( \frac{\pi}{4} \right)$