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Wave Optics question

2022 · Shift 2 · Q49
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Wave Optics question

2022 · Shift 2 · Q49

JEE AdvancedPhysicsWave OpticsMultiple correct+4 / −2
A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index n2n_{2}n2​. The other slit is at the interface of this medium with another medium 1 of refractive index n1(eqn2)n_{1}\left( eq n_{2}\right)n1​(eqn2​). The line joining the slits is perpendicular to the interface and the distance between the slits is ddd. The slit widths are much smaller than ddd. 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 θ\thetaθ from the line joining them, so that θ\thetaθ equals the angle of refraction of the beam. Consider two approximately parallel rays from the slits received by the detector. JEE Advanced 2022 Paper 2 Online Physics - Wave Optics Question 10 English Which of the following statement(s) is(are) correct?
  1. A
    The phase difference between the two rays is independent of ddd.
  2. B
    The two rays interfere constructively at the detector.
  3. C
    The phase difference between the two rays depends on n1n_{1}n1​ but is independent of n2n_{2}n2​.
  4. D
    The phase difference between the two rays vanishes only for certain values of ddd and the angle of incidence of the beam, with θ\thetaθ being the corresponding angle of refraction.
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