NEET UG PHYSICS MCQ: WAVE OPTICS

Two coherent sources emit light waves, which superimpose at a point where these can be expressed as

$\begin{aligned} & \mathrm{E}_1=\mathrm{E}_0 \sin (\omega \mathrm{t}+\pi / 4) \\ & \mathrm{E}_2=2 \mathrm{E}_0 \sin (\omega \mathrm{t}-\pi / 4) \end{aligned}$

here $\mathrm{E}_1$ and $\mathrm{E}_2$ are the electric field strengths of the two waves at the given point. If $\mathrm{I}$ is the intensity of wave expressed by field strength $\mathrm{E}_1$, find the resultant intensity.