In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of and are orthogonal to each other. The polarizer covers both the slits with its transmission axis at 45° to those of and . An unpolarized li

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Solution

Q.
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 45° 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 $λ / 3$ , is [2025]

1 $\frac{I_{0}}{2}$

2 $\frac{I_{0}}{4}$

3 $I_{0}$

4 $\frac{I_{0}}{3}$

Ans.
(1)

$I_{1} = \frac{I_{0}}{2} and I_{2} = I_{1} \cos^{2} θ$

$= \frac{I_{0}}{2} \cos^{2} 45 ° I_{2} = \frac{I_{0}}{4}$

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