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In Young's double slit experiment the slits are horizontal. The intensity at a point ' $\mathrm{P}$ ' on the screen shown in the figure is $\frac{\mathrm{I}_0}{4}$ where $\mathrm{I}_0$ is maximum intensity. If the distance between the two slits $S_1$ and $S_2$ is $2 \lambda$, then the value of ' $\theta$ ' is

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The correct answer is:
$\cos ^{-1}\left(\frac{1}{6}\right)$
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