Polarization and plane-polarized lightHard

Intensity in Polarized Young Double Slit

In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of P₁ and P₂ are orthogonal to each other. The polarizer P₃ covers both the slits with its transmission axis at 45° to those of P₁ and P₂. An unpolarized light of wavelength λ and intensity I₀ is incident on P₁ and P₂ . The intensity at a point after P₃ where the path difference between the light waves from s₁ and s₂ is $\frac{\lambda }{3}$ , is

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