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JEE PHYSICS MCQ: WAVE OPTICS

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In a Young's double slit experiment in front of one of the slits a thin transparent sheet of thickness tt and refractive index μ\mu is inserted. The entire fringe pattern will be shifted by a distance (dd - separation between slits; DD - distance of screen from the slits and λ\lambda - wavelength of light used)
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Correct option: C
(μ−1)tDd\frac{(\mu-1) t D}{d}
Option C ((μ−1)tDd\frac{(\mu-1) t D}{d}) is correct because the fringe shift is proportional to the path difference introduced by the sheet, the distance to the screen, and inversely proportional to the slit separation.

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