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Question 31

A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index $$n_2$$. The other slit is at the interface of this medium with another medium 1 of refractive index $$n_1$$ ($$\neq n_2$$). The line joining the slits is perpendicular to the interface and the distance between the slits is $$d$$. The slit widths are much smaller than $$d$$. A monochromatic parallel beam of light is incident on the slits from medium 1. A detector is placed in medium 2 at a large distance from the slits, and at an angle $$\theta$$ from the line joining them, so that $$\theta$$ equals the angle of refraction of the beam. Consider two approximately parallel rays from the slits received by the detector.

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Which of the following statement(s) is (are) correct?

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