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 other. The polarizer P 3 covers both the s

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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 other. The polarizer $P_{3}$ covers both the slits with its transmission axis at $4 5^{\circ}$ to those of $P_{1}$ and $P_{2}$ . An unpolarized light of wavelength $λ$ and intensity $I_{0}$ is incident on $P_{1}$ and $P_{2}$ . The intensity at a point after $P_{3}$ where the path difference between the light waves from $s_{1}$ and $s_{2}$ is $\frac{λ}{3}$ , is

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after passing through third poleriser, Intensity of both the waves must be $\frac{I _{0}}{4}$ now, at a point where path diff is $\frac{λ}{3}$ , phase difference $Δ ϕ = 2 K (\frac{Δ x}{λ}) = \frac{2 π}{3} ∴ I_{res} = (\frac{I _{0}}{4})^{2} + (\frac{I _{0}}{4})^{2} + 2 (\frac{I _{0}}{4})^{2} cos \frac{2 π}{3} = \frac{I _{0}}{4}$

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