In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of P_1 and P_2 are orthogonal to each…

In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of $\displaystyle P_1$ and $\displaystyle P_2$ are orthogonal to each other. The polarizer $\displaystyle P_3$ covers both the slits with its transmission axis at $\displaystyle 45$° to those of $\displaystyle \mathrm{P}_1$ and $\displaystyle \mathrm{P}_2$. An unpolarized light of wavelength $\displaystyle \lambda$ and intensity $\displaystyle \mathrm{I}_0$ is incident on $\displaystyle \mathrm{P}_1$ and $\displaystyle \mathrm{P}_2$. The intensity at a point after $\displaystyle \mathrm{P}_3$ where the path difference between the light waves from $\displaystyle \mathrm{s}_1$ and $\displaystyle \mathrm{s}_2$ is $\displaystyle \frac{\lambda}{3}$, is