In an interference arrangement similar to Young's double slit experiment, the slits ${\mathrm{S}}_1\text{ and }{\mathrm{S}}_2$ 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 distance d = 150 m. The intensity $\mathrm{I}\left(\mathrm{\theta }\right)$ is measured as a function of $\theta ,\text{ where }\theta$ is defined as shown. If $I_0$ is maximum intensity, then $\mathrm{I}\left(\mathrm{\theta }\right)$ for $0\le \mathrm{\theta }\le {90}^{\circ }$ is given by

• A

  $\mathrm{I}\left(\mathrm{\theta }\right)=4{\mathrm{I}}_0\text{ for }\mathrm{\theta }=0^{\circ }$

• B

  $\mathrm{I}\left(\mathrm{\theta }\right)={\mathrm{I}}_0/2\text{ for }\mathrm{\theta }={30}^{\circ }$

• C

  $\mathrm{I}\left(\mathrm{\theta }\right)={\mathrm{I}}_0/4\text{ for }\mathrm{\theta }={90}^{\circ }$

• D

  $\mathrm{I}\left(\mathrm{\theta }\right)\text{ is constant for all values of }\mathrm{\theta }$