In Young's double-slit experiment,the intensity at a point is $1/4$ of the maximum intensity. The angular position of this point is:

  • A
    $\sin^{-1}(\lambda/d)$
  • B
    $\sin^{-1}(\lambda/2d)$
  • C
    $\sin^{-1}(\lambda/3d)$
  • D
    $\sin^{-1}(\lambda/4d)$

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In Young's double slit experiment,the central bright fringe can be identified

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 $10^6 \ Hz$. The sources are synchronized to have zero phase difference. The slits are separated by distance $d = 150 \ m$. The intensity $I(\theta)$ is measured as a function of $\theta$,where $\theta$ is defined as shown. If $I_0$ is the maximum intensity,then $I(\theta)$ for $0 \le \theta \le 90^\circ$ is given by:

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