A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index $\mathrm{n}_2$. The other slit is at the interface of this medium with another medium 1 of refractive index $\mathrm{n}_1\left(\neq \mathrm{n}_2\right)$. 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.
Select ALL correct options:
A
The phase difference between the two rays is independent of d.
B
The two rays interfere constructively at the detector.
C
The phase difference between the two rays depends on n1 but is independent of n2.
D
The phase difference between the two rays vanishes only for certain values of d and the angle of incidence of the beam, with q being the corresponding angle of refraction.
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